IISc Bangalore

S. Gopalakrishnan

Professor
Structures
Email: krishnan[at]iisc.ac.in
Office Phone Number: +91-80-22933019
Lab Phone Number: +91-80-22932048
Office Room Number: AE126
Lab Room Number : AE125

 

Education

Ph.D. (Aeronautics & Astronautics) Purdue University USA,
M.Tech (Engineering Mechanics) Indian Institute of Technology Madras
B.E (Civil Engineering) U V C E, Bangalore University

Experience

  • Professor, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India. June 2007-Present
  • Associate Professor, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India. November 2003 – June 2007
  • Assistant Professor, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India. November 1997 – November 2003
  • Assistant Professor, Department of Civil Engineering, Indian Institute of Technology, Madras, India. November 1995 – November 1997
  • Senior Research Analyst, Dynamics Group, Engineering Mechanics Research Corporation, Bangalore, India. October 1994 – November 1995.
  • Postdoctoral Research Fellow, School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia, U.S.A. May 1993 – July 1994.
  • Research Assistant, Teaching Assistant, and David Ross Fellow, School of Aeronautics and Astronautics, Purdue University, W. Lafayette, Indiana, U.S.A. August 1989-March 1993
  • Teaching Assistant, Department of Engineering Mechanics, University of Wisconsin, Madison, Wisconsin, USA. August 1988 – August 1989.
  • Scientist-B, Structural Sciences Division, National Aerospace Laboratories, Bangalore, India. June 1987-August 1988.

Research Interests

  1. Wave Propagation
  2. Structural Dynamics
  3. Structural Health Monitoring
  4. Computational mechanics
  5. Nanostructures and MEMS
  6. Smart Structures

Research Statement

Professor Gopalakrishnan has made seminal contribution in the areas of wave propagation in complex mediums and Structural Health Monitoring. Wave propagation is a fertile and well-researched area where Prof. Gopalakrishnan has made a mark both nationally and internationally through his seminal contributions. He has practically looked at wave propagation in most of the complex mediums such as metals, anisotropic materials such as laminated composites, functionally graded materials, carbon nanotubes and nanotubes reinforced nano composites structures, periodic structures such as hexagonal lattices, sandwich structures, fluids and electromagnetics. He has successfully solved many of these wave propagation problems through a unique combination of sound mathematical skills coupled with innovative and original ideas. His notable contribution is the invention of a new numerical method called Spectral Finite Element Method (SFEM), which has already become a tool to solve many wave propagation problems in complex media involving very high frequency input. The reason for SFEM popularity is that it can solve high frequency content problem at a fraction of a cost compared to many established analysis tools such as finite element method. In addition, SFEM makes the solution of inverse problems such as source or system identification simple and straightforward, which is not the case with conventional analysis tools. This has opened up the possibility of solving many difficult inverse problems such as load monitoring in aircrafts, crack detection and quantification in structures and systems, earthquake/Tsunami modeling, new material design for impact mitigation etc.
His research efforts are primarily responsible for bringing out clarity and complete understanding of many wave based phenomena in complex media. His contributions can be summarized as follows:

  • Development of Spectral Element Method as an analysis tool for wave propagation problems. Here, he has developed two variants of the method, one based on Fourier Transform and the other based on Wavelet Transform. The application of these methods to various practical problems involving composites, SHM and active control of structures were published by reputed international publishers as two different monographs. Till date, these two are the only books available on this modeling tool.
  • Propagation and scattering of waves in laminated composite 1-D and 2-d waveguides with defects such as notches/debands/delaminations/fiber breakages/degraded regions/corroded/porous regions.
  • Propagation and scattering of anisotropic, inhomogeneous (in Functionally Graded structures) and Thermal waves and their interactions with structural discontinuities.
  • Propagation and characteristics of Lamb waves/Raleigh waves/Stonely waves   in a 2-D composite, anisotropic and inhomogeneous waveguides.
  • Propagation and frequency band gap estimation of periodic structures such as hexagonal lattices, sandwich cores, single and multiwall carbon nanotubes and nanotube reinforced nano composite structures. In particular, he studied the effect of scale parameter on the evolution of band gaps in acoustic and optical phonon modes
  • Propagation of waves in. Propagation of waves in acoustic fluids and electromagnetic medium
  • Development of novel computational models for non-linear wave propagation in hyper elastic solids.

Prof. Gopalakrishnan has extensively published his work on many top rated international journals of very high impact factor. He has spread his work by publishing in over 50 different journals. He has a total of 164 journal papers, 5 graduate level books, two undergraduate books, 9 book chapters, 88 international conference papers and 13 national conference papers.

Consulting Activities

Performed Consultancy Projects for the following Organizations/Comapnies

  • Oil and Natural Gas Corporation, IEOT, Government of India.
  • Indian Space Research Organization, Bangalore,  Government of India
  • Defense Research and Development Laboratory (DRDL), DRDO, Hyderabad, Government of India.
  • Logwell Forge Ltd. New Delhi
  • Aeronautical Development Agency, DRDO, Government of India.
  • Composite Product Development Center (CPDC), DRDO, Hyderabad, Government of India.
  • ASL, DRDO, Hyderabad, Government of India.
  • Vikram Sarabhai Space Centre (VSSC), Tiruvanandapuram, Government of India.
  • GTRE, DRDO, Bangalore, Government of India.

Current Projects

  1. Carbon Nanotube and Graphene Based Multi-scale Composite Architecture for Improved Energy Absorption in Aerospace Structures Funding Agency: DST/British Council through UK-India Educational Research Initiative
  2. Carbon Nanotube and Graphene Based Multi-scale Composite Architecture for Improved Energy Absorption in Aerospace Structures Funding Agency: DST/British Council through UK-India Educational Research Initiative
  3. Structural Health Monitoring Of Composite Structures Using 3-D Time Domain Spectral Finite Elements Funding Agency: Boeing Aircraft Company, St Louis, USA
  4. Modeling, Detection and Quantification of Corrosion Pits in a Metallic Structure Funding Agency: Boeing Aircraft Company, St Louis, USA
  5. Guided Wave based method for Damage Detection in Gas Turbine Engine Structural Components Funding Agency: Pratt & Whitney Corporation, East Hartford, USA
  1. Gopalakrishnan S, Arunkumar A. Comparitive Study of Different Non conserving Time Integrators for Wave Propagation in Hyperleastic Waveguides. Acta Mechanica. In-press. 2017
  2. Arunkumar A, Gopalakrishnan S . Automatic Finite Element Formulation and Assembly of Higher order Hyperelastic Structural Models. Applied Mathematical Modeling. In-press. 2017
  3. Chellappan V, Gopalakrishnan S, Mani V . Frequency domain based solution for certain class of wave equation: An exhaustive study of numerical solutions. Computer Modeling in Engineering and Sciences. In-press. 2017
  4. Mukherjee S, Ganguli R, Gopalakrishnan S, Cot LDominique, Bes C,. Ply Level Uncertainty Effects on Failure of Composite Structures. In EWSHM-7th European Workshop on Structural Health Monitoring. Nantes, France; 2014. 2014
  5. Gopalakrishnan S. Wave Propagation in Honeycomb Sandwich Structures Using Spectral Finite Elements. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2014. 2014
  6. Samaratunga D, Jha R, Gopalakrishnan S . Wavelet Spectral Finite Element for Wave Propagation in Shear Deformable Laminated Composites Plates. Composite Structures . 2014;108(1). 2014
  7. Narendar S, Gopalakrishnan S. A Nonlocal Continuum Mechanics Model for Analyzing Terahertz Flexural Wave Propagation of a Monolayer Graphene Embedded in a Elastic Medium. International Journal for Computational and Engineering Mechanics. 2014;15(1). 2014
  8. Patra AK, Gopalakrishnan S, Ganguli R . A Spectral Multiscale Method for Wave Propagation Analysis: Atomistic-Continuum Coupled Simulation. Computer Methods in Applied Mechanics and Engineering. 2014;278(15). 2014
  9. Gopalakrishnan S, Narendar S. . Wave Propagation in Graphene. In Innovative Graphene Technologies. UK: Rapra-Smithers Publications; 2013. 2013
  10. Gopalakrishnan S, .Narendar S. . Wave propagation in Nano Structures. UK: Springer Verlag; 2013. 2013
  11. Gopalakrishnan S. Active Wave Control Using Electro Active Polymers. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2013. 2013
  12. Gopalakrishnan S. Wave Propagation in Healthy and Defective Composite Structures Under Deterministic and Non deterministic Frame work. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2013. 2013
  13. Prasannakumar TJ8., Narendar S, Gopalakrishnan S . Thermal Vibration analysis of a Monolayer Graphene embedded in a Elastic Medium based on Non local Contiuum Mechanics. Composite Structures . 2013;100. 2013
  14. Ajith V, Gopalakrishnan S . Wave Propagation in Stiffened Structures using Spectrally Formulated Finite Element. European Journal of Mechanics, A/Solids. 2013;41. 2013
  15. Ajith V, Gopalakrishnan S. Wave Propagation in Porous Composite Beam: Porasity determination, Location and Quantification. International Journal for Solids and Structures. 2013;50(3-4). 2013
  16. Gopalakrishnan S . Wave Propagation in Structures with Periodic Defects. Proceedings of the Indian National Science Academy,. 2013;79(4). 2013
  17. Gopalakrishnan S . Lamb wave Propagation in Laminated Composite Structures. Journal of Indian Institute of Science. 2013;93(4). 2013
  18. Gopalakrishnan S. Wave Propagation In Hyperelastic Waveguides. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2012. 2012
  19. Deepak BP, Ganguli R, Gopalakrishnan S . Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements. International Journal for Mechanical Sciences. 2012;64(1). 2012
  20. Narendar S, Gopalakrishnan S . Nonlocal continuum mechanics based ultrasonic flexural wave dispersion characteristics of a monolayer graphene embedded in polymer matrix. Composites-PART B Engineering. 2012;43(8). 2012
  21. Narendar S, Gupta SS, Gopalakrishnan S . Wave propagation in single-walled carbon nanotube in longitudinal magnetic field using nonlocal Euler-Bernoulli beam theory. Applied Mathematical Modeling. 2012;36(9). 2012
  22. Chakraborty N, Rathod VT, Mahapatra DR, Gopalakrishnan S . Guided Wave based Detection of Damage in Honeycomb Core Sandwich Structures. NDT & E International. 2012;49. 2012
  23. Narendar S, Gopalakrishnan S . Nonlocal continuum mechanics formulation for axial, flexural, shear and contraction coupled wave propagation in single walled Carbon nanotubes. Latin American Journal of Solids and Structures. 2012;9(4). 2012
  24. Arunkumar A, Gopalakrishnan S . Time and Frequency domain Finite Element Models for axial wave analysis in hyperelastic rods. Mechanics of Advanced Materials and Structures . 2012;19(1-3). 2012
  25. Deepak BP, Ganguli R, Gopalakrishnan S . Dynamics of Rotating Composite Beams: A Comparative Study between CNT Reinforced Polymer Composite Beams and Laminated Composite Beams using Spectral Finite Elements. International Journal of Mechanical Sciences. 2012;64(1). 2012
  26. Narendar S, Gopalakrishnan S . Temperature Effects on Wave Propagation in Nanoplates. Composites-PART B Engineering. 2012;43(3). 2012
  27. Narendar S, Gopalakrishnan S . Scale Effects on Ultrasonic Wave Dispersion Characteristics of a Monolayer Graphene Embedded in Elastic Medium. Journal of Mechanics of Materials and Structures. 2012;7(5). 2012
  28. Narendar S, Gopalakrishnan S. Scale effects on buckling analysis of orthotropic nanoplates based on nonlocal two variable refined plate theory. Acta Mechanica. 2012;223. 2012
  29. Narendar S, Ravinder S, Gopalakrishnan S. Strain Gradient Torsional Vibration Analysis of Micro/Nano Rods. International Journal of Nano Dimension. 2012;3(1). 2012
  30. Narendar S, Gopalakrishnan S. Study of Terahertz Wave Propagation Properties in Nanoplates with Surface and Small Scale Effects. International Journal for Mechanical Sciences. 2012;64(1. 2012
  31. Satish N, Narendar S, Gopalakrishnan S . Thermal Vibration Analysis of Orthrotropic Nanoplates Based on Nonlocal Continnuam mechanics. Physica E. 2012;44(9). 2012
  32. D Kishor K, Ganguli R, Gopalakrishnan S . Uncertainty Quantification of Sloshing Motion in Partially Filled Rectangular Tanks. International Journal for Computational Methods in Engineering Science and Mechanics. 2012;13(3). 2012
  33. Narendar S, Ravinder S, Gopalakrishnan S. Study of non-local Wave Properties of Nanotubes with Surface Effects. Computational Material Science. 2012;56. 2012
  34. Arunkumar A, Gopalakrishnan S. Automatic Energy-Momentum Conserving Time Integrators for Hyperelastic Waves. Journal of Computational and Applied Mathematics. 2012;236(18). 2012
  35. Jalan SK, B. Rao N, Gopalakrishnan S . Development of empirical relations for the transversely isotropic properties of zigzag, armchair and chiral single-walled carbon nanotubes. Advanced Composite Letters. 2012;21(4). 2012
  36. Narendar S, Gopalakrishnan S . A Non-local Continuum Mechanics Model to Estimate the Material Property of Single-Walled Carbon Nanotubes. International Journal of Nanoscience. 2012;11(1). 2012
  37. Gopalakrishnan S. Molecular Mechanics based finite element analysis for the prediction elastic properties of the CNT based nanocomposites. In Proceedings of the International Conference on Composites for 21st Century: Current & Future Trends (ICC-CFT 2011). 2011. pp. 4-7. 2011
  38. Gopalakrishnan S, Ganguli R. Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2011. 2011
  39. Gopalakrishnan S, Ganguli R. Development of Novel Fluid Finite Elements for Fluid Structure Interaction Problems. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2011. 2011
  40. D Kishor K, Ganguli R, Gopalakrishnan S . Uncertainty Analysis of Vibrational Frequencies of an Incompressible Liquid in a Rectangular Tank with and without a Baffle using Polynomial Chaos Expansion. Acta mechanica. 2011;220(1-4). 2011
  41. Ajith V, Gopalakrishnan S . Spectral Element Approach for Wave Propagation in Uncertain Composite Beam Structures. ASME Journal of Vibration and Acoustics. 2011;133. 2011
  42. Trikha M, Mahapatra DR, Gopalakrishnan S, Pandiyan R . Analysis of Dynamic Stability of Space Launch Vehicles under Aerodynamic Forces using CFD Derived Data. International Journal for Computational and Engineering Mechanics. 2011;12(5). 2011
  43. Narendar S, Gopalakrishnan S . Non local Wave propagation in Rotating Nano tubes. Results in Physics. 2011;1. 2011
  44. Narendar S, Gupta SS, Gopalakrishnan S, Batra RC . Ultrasonic Vibration Analysis of Single-Walled Carbon Nanotubes under Longitudinal Magnetic Field using Nonlocal Elasticity and Wave Propagation Approach. Advanced Science Letters . 2011;4. 2011
  45. D Kishor K, Gopalakrishnan S, Ganguli R . Three Dimensional Sloshing: A Consistent Finite Element Approach. International Journal for Numerical Methods in Fluids. 2011;66(3). 2011
  46. Narendar S, Gopalakrishnan S. Spectral Finite Element Formulation for Nanorods via Nonlocal Continuum Mechanics. ASME Journal of Applied Mechanics. 2011;78(6). 2011
  47. Narendar S, Gopalakrishnan S . Ultrasonic wave characteristics of a monolayer graphene on silicon substrate. Composite Structures . 2011;93(8). 2011
  48. Narendar S, Gopalakrishnan S . A Revisit to Capture the Entire Behavior of Ultrasonic Wave Dispersion Characteristics of Single Walled Carbon Nanotubes Based on Nonlocal Elasticity Theory and Flugge Shell Model. Journal of Computational and Theoretical Nanoscience. 2011;8. 2011
  49. Narendar S, Gopalakrishnan S. Critical Buckling Temperature of Single-Walled Carbon Nanotubes Embedded in a One- Parameter Elastic Medium Based on Nonlocal Continuum Mechanics. Physica E. 2011;43. 2011
  50. N.Omkar S, Gopalakrishnan S, Naik GN, Patil K, Mudigere M . Vector Evaluated and Objective Switching approaches of the Artificial Bee Colony (ABC) algorithm for Multi-Objective Design Optimization of Composite Structures. International Journal of Applied Meta Heuristic Computing, (IJAMC) . 2011;Vol. 2(No. 3). 2011
  51. Narendar S, Gopalakrishnan S . Axial Wave propagation in coupled nanorod system with non local small scale effects. Composites-PART B Engineering. 2011;42(7). 2011
  52. Naik GN, Omkar SN, Dheervatsa M, Gopalakrishnan S . Nature Inspired Optimization Techniques for the Design optimization of Laminated Composite Structures using failure Criteria. Expert Systems with Applications. 2011;38(3). 2011
  53. Murthy MVVS, Gopalakrishnan S, Nair PS . Signal wrap-around free Spectral Element Formulation for multiply connected Finite 1-D waveguides: Solution of Forward and Inverse problems. Journal of Aerospace Sciences and Technologies: Special Issue on Vibration and Acosutics . 2011;63(1). 2011
  54. Omkar SN, Senthilnath J, Khandelwal R, Naik GN, Gopalakrishnan S . Vector Evaluated Artificial Bee Colony (VEABC) for multi-objective design optimization of composite structures. Applied Soft Computing. 2011;Vol. 11. 2011
  55. D. Kishore K, Gopalakrishnan S, Ganguli R . Uncertainty quantification of sloshing motion in partially filled rectangular tanks. International Journal for Computational and Engineering Mechanics. 2011;49(6). 2011
  56. Omkar SN, Senthilnath J, Khandelwal R, Naik GN, Gopalakrishnan S . Artificial Bee Colony (ABC) for multi-objective design optimization of composite structures. Applied Soft Computing Journal. 2011;11(1). 2011
  57. Narendar S, Gopalakrishnan S . Nonlocal Thermo-elastic Damping in Carbon Nanotubes. Nano Trends: A Journal of Nano Technology and its Applications. 2011;11(2). 2011
  58. Gangadharan R, Murthy CRL, Gopalakrishnan S, Bhat MR . Time Reversal Health Monitoring of Composite Plates using Lamb waves. International Journal of Aerospace Innovations. 2011;03(03):131-141. 2011
  59. D. Kishor K, Gopalakrishnan S, Ganguli R . Three dimensional sloshing: A Consistent finite element approach. International Journal for Numerical Methods in Fluids . 2011;66(3). 2011
  60. D. Kishor K, Gopalakrishnan S, Ganguli R. Uncertainty analysis of vibrational frequencies of an incompressible liquid in a rectangular tank with and without a baffle using polynomial chaos expansion. Acta Mechanica. 2011;220(1-4). 2011
  61. Gangadharan R, Bhat MR, Murthy CRL, Gopalakrishnan S . Time Reversal Health Monitoring of Composite Plates using Lamb Waves. International Journal of Aerospace Innovations. 2011;3(3). 2011
  62. Narendar S, Ravinder S, Gopalakrishnan S. Surface Effects On Nonlocal Critical Buckling Temperature Of Nanotubes. Nanomechanics Science and Technology: An International Journal . 2011;2(4). 2011
  63. Narendar S, Mahapatra DR, Gopalakrishnan S. Prediction of Nonlocal Scaling Parameter for Armchair and Zigzag Single-Walled Carbon Nanotubes based on Molecular Structural Mechanics, Nonlocal Elasticity and Wave Propagation. International Journal on Engineering Science. 2011;49. 2011
  64. Gopalakrishnan S, Mitra M.. Wavelet Methods for Dynamical Problems. Boston, USA: CRC Press; 2010. 2010
  65. Vinoy KJ, AnanthSuresh GK, Gopalakrishnan S, Bhat KN, Aatre VK. . Micro and Smart Systems. India: Wiley (India) Pvt LTD; 2010. 2010
  66. Gopalakrishnan S. Dynamics and Stability of a Launch Vehicle. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2010. 2010
  67. Gopalakrishnan S. Novel Damage Detection Methodologies for Structural health Monitoring of Metallic Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2010. 2010
  68. Gopalakrishnan S, Bhat MR, Murthy CRL. Structural Health Monitoring of thin Plate like Structures using Active and Passive wave based methods. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2010. 2010
  69. Gopalakrishnan S. Wave propagation in One Dimensional Structures with Periodic Defects: Dispersion Characteristics and Fourier Transform Based Periodic Formulation for Time Domain Response Computation. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2010. 2010
  70. Gopalakrishnan S. Dispersion Characteristics and Damage Quantification in One Dimensional Cracked waveguides. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2010. 2010
  71. Narendar S, Mahapatra DR, Gopalakrishnan S. Investigation of the effect of nonlocal scale on ultrasonic wave dispersion characteristics of a monolayer graphene. Computational Material Science. 2010;49(4). 2010
  72. Sudhakar V, Gopalakrishnan S, Vijayaraju K . Development of a new Finite Element for the analysis of a Sandwich beam with soft core. Journal of Sandwich Structures and Materials. 2010;12(6). 2010
  73. Ajith V, Gopalakrishnan S. Wave Propagation in Uncertain Beam Structures: A Monte-Carlo Simulation based approach under Spectral Finite Element Environment. Journal of Mechanics of Materials and Structures. 2010;5(4). 2010
  74. Narendar S, Gopalakrishnan S . Ultrasonic Wave Characteristics of Nanorods via Nonlocal Strain Gradient Models. Journal of Applied Physics. 2010;107(8). 2010
  75. Gangadharan R, Murthy CRL, Gopalakrishnan S, Bhat MR, Mahapatra DR . Characterization of cracks and delaminations using PWAS and Lamb Wave based Time-Frequency methods. International Journal on Smart Sensing and Intelligent Systems. 2010;3(4). 2010
  76. Anandatheertha S, Naik GN, Rao S, Gopalakrishnan S . High Accuracy Curve Fits for Chirality, Length and Diameter Dependent SWCNT Initial Modulus. Physica-E. 2010;43:252-255. 2010
  77. Ali R, Mahapatra DR, Gopalakrishnan S. Time Domain Characteristics of Electrical Measures for a Piezoelectric Thin Film to Identify Defects in the Substrate. Structural Health Monitoring . 2010;9(2). 2010
  78. Gangadharan R, Murthy CRL, Gopalakrishnan S, Bhat MR, Mahapatra DR . Characterization of Cracks and Delaminations Using PWAS AD Lamb Wave Based Time-Frequency Methods. International Journal on Smart Sensing and Intelligent Systems. 2010;03(04):703-735. 2010
  79. Giridhara G, Rathod V, Naik S, Mahapatra DR, Gopalakrishnan S. Rapid Localization of Damage using a Circular Sensor Array and Lamb Wave based Triangulation. Mechanical Systems and Signal Processing. 2010;24(8). 2010
  80. Anantatheertha S, Naik GN, Gopalakrishnan S, P. Rao S . High Accuracy Curve Fits for Chirality, Length and Diameter Dependent Initial Modulus of Single Walled Carbon Nanotubes. Physica E. 2010;43(1). 2010
  81. Narendar S, Gopalakrishnan S . Terahertz wave characteristics of a single-walled carbon nanotube containing a fluid flow using the nonlocal Timoshenko beam model. Physica E. 2010;42(5). 2010
  82. Gangadharan R, Bhat MR, Murthy CRL, Gopalakrishnan S. A Geodesic-Based Triangulation Technique for Damage Location in Metallic and Composite Plates. Smart Materials and Structures. 2010;19(11):1050-1060. 2010
  83. Narendar S, Gopalakrishnan S . Theoretical Estimation of Length Dependent In-plane Stiffness of Single Wall Carbon Nantubes Using Non-local Elasticity Theory. Journal of Computational and Theoretical Nanoscience. 2010;7(11). 2010
  84. D Kishor K, Gopalakrishnan S, Ganguli R. A Legendre Spectral Element Model for Sloshing and Acoustic Analysis in Nearly Incompressible Fluids. Journal of Computational Physics. 2010;229(7). 2010
  85. Gangadharan R, Bhat MR, Murthy CRL, Gopalakrishnan S . A geodesic based triangulation technique for damage location in metallic and composite plates. Smart Materials and Structures. 2010;19(11). 2010
  86. Narendar S, Gopalakrishnan S. Nonlocal scale effects on ultrasonic wave characteristics of nanorods. Physica E. 2010;42(5). 2010
  87. Trikha M, Mahapatra DR, Gopalakrishnan S, Pandiyan R. Structural Stability of Slender Aerospace Vehicles-PART -I. International Journal for Mechanical Sciences. 2010;52(7). 2010
  88. Narendar S, Gopalakrishnan S. Strong Non localization Induced by Small Scale Parameter on Flexural Wave Characteristics of a Monolayer Graphene. Physica E. 2010;43(1). 2010
  89. D. Kishor K, Gopalakrishnan S, Ganguli R. A Legendre spectral element model for sloshing and acoustic analysis in nearly incompressible fluids. Journal of Computational Physics . 2010;229(7). 2010
  90. Trikha M, Mahapatra DR, Gopalakrishnan S, Pandiyan R . Structural Stability of Slender Aerospace Vehicles-PART -II. International Journal for Mechanical Sciences. 2010;52(9). 2010
  91. Kishor N, Gopalakrishnan S, Ganguli R . A Legendre Spectral Element for Modeling Acoustic Fluids. In IISc Centenary International Conference and Exhibition in Aerospace Engineering,. Bangalore, India; 2009. 2009
  92. D Kishor K, Ganguli R, Gopalakrishnan S. Uncertainty Quantification of Sloshing Motion in Partially Filled Rectangular Tanks. In IISc Centenary International Conference and Exhibition in Aerospace Engineering. IISc, Bangalore, India; 2009. 2009
  93. Gopalakrishnan S. Damage Detection Using Piezoceramic And Magnetostrictive Sensors And Actuators. In Encyclopedia on Structural Health Monitoring-Simulation Section. Chincester, UK: John Wiley & Sons; 2009. 2009
  94. Hu N, Mahapatra DR, Gopalakrishnan S. A Simplified Damage Model for Structural Health Monitoring of Metallic and Composite Structures. In Encyclopedia on Structural Health Monitoring-Simulation Section. UK: John Wiley & Sons; 2009. 2009
  95. Gopalakrishnan S. . Constitutive Modeling Of Magnetostrictive Materials. In Encyclopedia on Structural Health Monitoring-Simulation Section. Chincester, UK: John Wiley & Sons; 2009. 2009
  96. Gopalakrishnan S. . Finite Elements: Modeling Of Piezoceramic And Magnetostrictive Sensors and Actuators. In Encyclopedia on Structural Health Monitoring-Simulation Section. Chincester, UK: John Wiley & Sons; 2009. 2009
  97. Gopalakrishnan S . Modeling Aspects In Finite Elements For Structural Health Monitoring. In Encyclopedia on Structural Health Monitoring-Simulation Section. Chincester, UK: John Wiley & Sons; 2009. 2009
  98. Gopalakrishnan S. Modeling Aspects In Finite Elements For Structural Health Monitoring. Encyclopedia on Structural Health Monitoring-Simulation Section. Chincester, UK: John Wiley & Sons; 2009. 2009
  99. Gopalakrishnan S. Ultrasonic Wave Characteristics of Carbon Nanotubes and Graphene Sheets Using Non local Elasticity Theory. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2009. 2009
  100. Gopalakrishnan S, Mahapatra DR. On Modeling of Constrained Thin Films for Structural Health Monitoring. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2009. 2009
  101. Gangadharan R, Prasanna G, Bhat MR, Murthy CRL, Gopalakrishnan S . Acoustic emission source location and damage detection in a metallic structure using graph theory based geodesic approach. Smart Materials and Structures. 2009;18(11). 2009
  102. Gangadharan R, Bhat MR, Murthy CRL, Gopalakrishnan S . Time Reversal Technique for Health Monitoring of Metallic Structure using Lamb Waves Ultrasonics. Ultrasonics. 2009;49(8). 2009
  103. Narendar S, Gopalakrishnan S. Nonlocal Scale Effects on Wave Propagation in Multi-Walled Carbon Nanotubes. Computational Material Science. 2009;47(2). 2009
  104. Omkar SN, Naik GN, Gopalakrishnan S . Quantum behaved Particle Swarm Optimization (QPSO) for multi-objective design optimization of composite structures. Expert Systems with Applications. 2009;36. 2009
  105. Trikha M, Mahapatra DR, Gopalakrishnan S, Pandiyan R . Dynamic Instabilities in Slender Space Launch Vehicles under Propulsive Thrust and Aerodynamic Forces. Computer Modeling in Engineering and Sciences. 2009;45(2). 2009
  106. Mitra M, Gopalakrishnan S . Wave propagation in multi-walled carbon nanotube. Computational Material Science. 2009;45. 2009
  107. Giridhara G, Gopalakrishnan S. Frequency Domain based Damage Index for Structural Health Monitoring. Structural Durability and Health Monitoring. 2009;5(1). 2009
  108. Ganagadharan R, Mahapatra DR, Gopalakrishnan S, Murthy CRL, Bhat MR . On the sensitivity of elastic waves due to structural damages: time-frequency based indexing method. Journal of Sound and Vibration. 2009;320(4-5). 2009
  109. Ganagadharan R, Prasanna G, Bhat MR, Murthy CRL, Gopalakrishnan S . Acoustic Emission Source Location in Composite Structure by Voronoi construction using Geodesic Curve Evolution. Journal of Acoustic Society Of America. 2009;126(5). 2009
  110. Naik GN, Gopalakrishnan S. Failure analysis of Carbon Nanotube reinforced nanocomposites structures. 2008
  111. Gopalakrishnan S. Spectral Finite Elements for Active Wave Control in Smart Composite Structures. In Progress in Smart Materials and Structures Research, Editor Robert L. Reece, . New York, USA: Nova Science Publishers; 2008. 2008
  112. Ali R, Mahapatra DR, Gopalakrishnan S . Electrostatic Measures in a Constrained Piezoelectric Film with Sub-surface Crack in Substrate – Mode I. Smart Materials and Structures. 2008;17(2). 2008
  113. Mitra M, Gopalakrishnan S . Wave Characteristics in Multi-walled Carbon Nanotubes. Computer Modeling in Engineering and Sciences. 2008;27(1-2). 2008
  114. Ali R, Mahapatra DR, Gopalakrishnan S . Electrostatic Measures in a Constrained Piezoelectric Film with Sub-surface Crack in Substrate – Mode II. Smart Materials and Structures. 2008;17(2). 2008
  115. Mitra M, Gopalakrishnan S, Apetre N, Ruzzene M, Hanagud S . Perturbation Technique For Wave Propagation Analysis In A Notched Beam Using Wavelet Spectral Element Modeling. Journal of Mechanics of Materials and Structures. 2008;2(4). 2008
  116. Naik GN, Gopalakrishnan S, Ganguli R . Multi-Objective Design Optimization of Composite Structures using Genetic Algorithms. Composite Structures . 2008;83(4). 2008
  117. Omkar SN, Khandelwal R, Yathindra S, Naik GN, Gopalakrishnan S . Artificial Immune System for multi-objective design optimization of composite structures. Engineering Applications of Artificial Intelligence. 2008;21(8). 2008
  118. Mitra M, Gopalakrishnan S. Wave propagation analysis in anisotropic plate using wavelet spectral element approach. ASME Journal of Applied Mechanics. 2008;102(8). 2008
  119. Apetre N, Ruzzene M, Hanagud S, Gopalakrishnan S. Spectral and Perturbation Analysis of First order beams with Notch Damage. ASME Journal of Applied Mechanics. 2008;75(3). 2008
  120. Naik GN, Gopalakrishnan S, Ganguli R . Design Optimization of Composites using Genetic Algorithm and Failure Mechanism Based Failure Criteria. Composite Structures. 2008;83(3). 2008
  121. Omkar SN, Mudigere D, Naik GN, Gopalakrishnan S . Vector Evaluated Particle Swarm Optimization (VEPSO) for multi-objective design optimization of composite structures. Computers & Structures. 2008; vol. 86 (no. 2). 2008
  122. Omkar SN, Deevatsa M, Naik GN, Gopalakrishnan S. Multi-Objective Design Optimization of Composite Structures using Vector Evaluated Particle Swarm Optimization. Computers and Structures. 2008;86(2). 2008
  123. Gupta 76.Priyank, Gridhara G, Gopalakrishnan S . Damage Detection based on Damage Force Indicator, using Reduced order FE Models. International Journal for Computational Methods in Engineering and Sciences. 2008;9(3). 2008
  124. Apetre N, Ruzzene M, Hanagud S, Gopalakrishnan S. A Wave-Based Damage Index For The Analysis Of The Filtered Response Of Damaged Beams, Journal of Mechanics of Materials and Structures. Journal of Mechanics of Materials and Structures. 2008;3(9). 2008
  125. Gopalakrishnan S. Wavelet Based Spectral Finite Elements for Wave Propagation Analysis in Isotropic. Composite and Nano-composite Structure. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  126. Gopalakrishnan S. Spectral Finite Element modeling for corroded Metallic Structures and Degraded Composite Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  127. Gopalakrishnan S. Spectrally formulated Finite Element for composite beams with Electrostrictive Material patches. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  128. Gopalakrishnan S. Development of Super-Convergent Finite Element for Accurate Prediction of Inter-Laminar Stresses in Laminated Composite Beams. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  129. Gopalakrishnan S. Failure Mechanism Based Failure Theories in Laminated composite Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  130. Gopalakrishnan S. Sensitivity of Damage force to Crack orientation. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2007. 2007
  131. Tabrez S, Mitra M, Gopalakrishnan S. Modeling of Material Degradation due to Moisture Absorption in an Composite beam For Wave Propagation Based Detection. Computer Modeling in Engineering and Sciences. 2007;22(1). 2007
  132. Ghosh DP, Gopalakrishnan S. A Super Convergent Finite Element for a Composite Beam with embedded Magnetostrictive Patches. Composite Structures . 2007;79(3). 2007
  133. Vinod KG, Gopalakrishnan S, Ganguli R . Spectral Finite Element Method Applied to Beam with Axial Load. Computer Modeling in Engineering and Sciences. 2007;16(3). 2007
  134. Mitra M, Gopalakrishnan S. Wave propagation in imperfectly bonded single-walled carbon nanotube/polymer composites. Journal Of Applied Physics. 2007;102(8). 2007
  135. Hu N, Fukunaga H, Kameyama M, Mahapatra DR, Gopalakrishnan S. Analysis of Wave Propagation in Beams with Transverse and Lateral Cracks using a Weakly Formulated Spectral Method. ASME Journal of Applied Mechanics. 2007;74(1). 2007
  136. Vignesh PS, Mitra M, Gopalakrishnan S. Nano-composite Insert in 1-D waveguides for the control of Elastic power flow. Nanotechnology. 2007;18. 2007
  137. Mitra M, Gopalakrishnan S . High frequency characteristics of single walled carbon-nanotube: Time and frequency domain analysis. Journal of Applied Physics,. 2007;101(11). 2007
  138. Mitra M, Gopalakrishnan S. Wavelet Spectral Element For wave Propagation Studies In Pressure Loaded Axisymmetric Cylinders. Journal of Mechanics of Materials and Structures. 2007;2(4). 2007
  139. Kumar A, Chakraborty A, Gopalakrishnan S . Modified Virtual Crack Closure Technique Using Pseudo spectral Finite Element Method. International Journal for Computational Methods. 2007;4(1). 2007
  140. Hu N, Wang HH, Fukunaga H, Mahapatra DR, Gopalakrishnan S. The partition of unity finite element method for elastic wave propagation in Reissner-Mindlin plates. International Journal for Numerical Methods in Engineering. 2007;70(12). 2007
  141. Vinod KG, Gopalakrishnan S, Ganguli R. Free Vibration and Wave Propagation Analysis of Uniform and Tapered Rotating Beams Using Spectrally Formulated Finite Elements. International Journal for Solids and Structures. 2007;44(19). 2007
  142. Sahoo N, Mahapatra DR, Jagadeesh G, Gopalakrishnan S, Reddy KPJ. Design and Analysis of a flat accelerometer-based force balance system for shock tunnel testing. Measurement. 2007;40(1). 2007
  143. Vinod KG, Gopalakrishnan S, Ganguli R . Free Vibration and Wave Propagation Analysis of Uniform and Tapered Rotating Beams using Spectrally Formulated Finite Elements. International Journal of Solids and Structures. 2007;44(18-19). 2007
  144. Murthy MVVS, Gopalakrishnan S, Nair PS . A Super convergent Higher Order Finite Element Formulation for asymmetric Composite Beams. Computers Materials and Continua. 2007;5(1). 2007
  145. Gopalakrishnan S. Structural Health Monitoring of Composite Structures using Magnetostrictive Sensors and Actuators. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2006. 2006
  146. Gopalakrishnan S. Active Control of Structure Borne Cabin Noise using Magnetostrictive Actuators. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2006. 2006
  147. Gopalakrishnan S, Ganguli R. Free Vibration and Wave Propagation Analysis of Uniform and Tapered Rotating Beams Using Spectrally Formulated Finite Elements. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2006. 2006
  148. Chakraborty A, Gopalakrishnan S . A Spectral Finite Element Model for Wave Propagation Analysis in Laminated Composite Plate. ASME Journal of Vibration and Acoustics. 2006;128(4). 2006
  149. Agarwal S, Chakraborty A, Gopalakrishnan S. Large Deformation Analysis for Anisotropic and Inhomogeneous Beams Using Exact Linear Static Solutions. Composite Structures . 2006;79. 2006
  150. Mitra M, Gopalakrishnan S . Wavelet Based Spectral Finite Element for Analysis of Coupled Wave Propagation in Higher Order Composite Beam. Composite Structures . 2006;73(3). 2006
  151. Mahapatra DR, Ghosh DP, Gopalakrishnan S . Multiscale Finite Element Modeling of Pattern Formation in Magnetostrictive Composite Thin Film. International Journal for Multi-scale Computational Engineering,. 2006;4(3). 2006
  152. Mitra M, Gopalakrishnan S. . Wave propagation analysis in carbon nanotube embedded composite using wavelet based spectral finite element. Smart Materials and Structures. 2006;15. 2006
  153. Mitra M, Gopalakrishnan S . Wavelet based spectral finite element modeling and detection of de-lamination in composite beams. Proceedings of Royal Society, London. 2006;462. 2006
  154. Mitra M, Gopalakrishnan S . Wavelet Based 2-D Spectral Finite Element Formulation for Wave Propagation Analysis in Isotropic Plates. Computer Modeling in Engineering and Sciences. 2006;15(1). 2006
  155. Mahapatra DR, Singhal A, Gopalakrishnan S. A Higher order Finite Waveguide Model for Spectral Analysis of Composite Structures. Computer methods in applied Mechanics and Engineering. 2006;195. 2006
  156. Vinod KG, Gopalakrishnan S, Ganguli R . Wave Propagation Characteristics of Rotating Euler-Bernoulli Beams. Computer Modeling in Engineering and Sciences. 2006;16(3). 2006
  157. Sridhar R, Chakraborty A, Gopalakrishnan S . Wave Propagation in a isotropic and Inhomogeneous Uncracked and Cracked Structures using Pseudo-spectral Finite Element Method. International Journal for Solids and Structures. 2006;43(16). 2006
  158. Ali R, Mahapatra DR, Gopalakrishnan S . A Quasi 3-D Approach to Modeling and Analysis of Constrained Piezoelectric Thin Film. Acta Materialia. 2006;54. 2006
  159. Chakraborty A, Gopalakrishnan S, Sivakumar MS . Spectral Element Based Model for Wave Propagation Analysis in Multi-Wall Carbon Nanotubes. International Journal for Solids and Structures. 2006;43. 2006
  160. D. Kumar S, Mahapatra DR, Gopalakrishnan S . Estimation of Dynamic Fracture Parameters In Transverse Cracked Composite Beam Using Simplified Diagnostic Wave Propagation Model. Structural Health Monitoring . 2006;5(2). 2006
  161. Chakraborty A, Gopalakrishnan S . An approximate Spectral Element for the Analysis of Wave Propagation in Inhomogeneous Layered Media. AIAA Journal. 2006;44(7). 2006
  162. Mahapatra DR, Suresh S, Omkar SN, Gopalakrishnan S. . Estimation of Degraded Composite Laminate Properties Using Acoustic Wave Propagation Model and a Reduction-Prediction Network. Engineering Computations . 2006;22(7-8). 2006
  163. Mitra M, Gopalakrishnan S . Extraction of wave characteristics from wavelet based spectral finite element formulation. Mechanical Systems and Signal Processing . 2006;20(8). 2006
  164. Mahapatra DR, Ghosh DP, Gopalakrishnan S . Multiscale Finite Element Modeling of the coupled nonlinear Dynamics of Magnetostrictive Composite Thin film. Lecture Series in Computer Science-Springer-Verlag. 2005;3516. 2005
  165. Naik GN, Murty AVKrishna, Gopalakrishnan S . A Failure Mechanism Based Failure Theory for the design of composite laminae with the effect of shear stresses. Composite Structures. 2005;69:219-227. 2005
  166. Krishnamurthy AV, Naik GN, Gopalakrishnan S . Towards A Rational Criteria for Composite Laminae. Mechanics of Advanced Structures and Materials. 2005;12(2). 2005
  167. Mitra M, Gopalakrishnan S . Spectrally Formulated Wavelet Finite Element for Wave Propagation and Impact Force Identification in Connected 1-D Waveguides. International Journal for Solids and Structures. 2005;42(16-17). 2005
  168. Ghosh DP, Gopalakrishnan S . Coupled Analysis of Composite Laminate With Embedded Magnetostrictive Patches. Smart Materials and Structures. 2005;14. 2005
  169. Naik GN, Gopalakrishnan S, Krishnamurthy AV. A Failure mechanism based Failure theory for Laminated Composites including the effect of shear stress. Composite Structures. 2005;69(2). 2005
  170. Chakroborty A, Gopalakrishnan S, Kausel E . Wave Propagation Analysis in Inhomogeneous Piezo-Composite Layer by Thin Layer Method. International Journal for Numerical Methods in Engineering. 2005;64. 2005
  171. Ali R, Mahapatra DR, Gopalakrishnan S . Analysis of Constrained Piezoelectric Layer: A Two Dimensional Coupled Electro-Mechanical Model. Ferroelectrics. 2005;329. 2005
  172. Murthy MVVS, Mahapatra DR, Gopalakrishnan S, Badrinarayana K . A Refined Higher order Finite Element for Asymmetric Composite Beam. Composite Structures. 2005;67(1). 2005
  173. Ali R, Mahapatra DR, Gopalakrishnan S . Constrained Piezoelectric Thin Film Sensor for Sensing of Subsurface Cracks. Smart Materials and Structures. 2005;14(2). 2005
  174. Mahapatra DR, Singhal A, Gopalakrishnan S. Lamb Wave Characteristics of Thickness-Grades Piezoelectric IDT. Ultrasonics. 2005;46(9). 2005
  175. Chakraborty A, Gopalakrishnan S. Wave Propagation in Inhomogeneous Beam : A Spectral Element Formulation. Computational Mechanics. 2005;36(1). 2005
  176. Mahapatra DR, Singhal A, Gopalakrishnan S. Numerical analysis and design of piezoelectric composite IDT for Lamb wave generation. IEEE Transactions on Ultrasonics. Ferroelectrics, and Frequency Control,. 2005;52(10). 2005
  177. Chakraborty A, Gopalakrishnan S. A Spectrally Formulated Plate Element for Wave Propagation Analysis in Anisotropic Material. Computer methods in Applied Mechanics and Engineering. 2005;194(42-44). 2005
  178. Rao AK, Swamy MK, Bhat MS, Ganguli R, Gopalakrishnan S. Optimal Placement of Actuators and Sensors on Composite Aircraft Fin for Active Vibration Control using Genetic Algorithms. In 4th ISSS International Conference on Smart Materials, Structures and Systems. Bangalore, India; 2005. 2005
  179. Naik GN, Murty AVKrishna, Gopalakrishnan S . A New Failure Theory Based on Failure Mechanisms For Laminated Composites. In Proceedings of ICCES 2005. International Conference on Computational and Experimental Engineering and Sciences. IIT Madras, India; 2005. 2005
  180. Gopalakrishnan S. Modified Virtual Crack Closure Technique Using Pseudo spectral Finite Element Method. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2005. 2005
  181. Gopalakrishnan S. A Function Space Approach to Study Chebyshev Timoshenko Beam Finite Element. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2005. 2005
  182. Mahapatra DR. . Estimation of degraded composite laminate properties using acoustic wave propagation model and a reduction prediction network. Suresh S. Engineering Computations. 2005;22(7). Suresh S. Engineering Computations. 2005;22(7). 2005
  183. Chakraborty A, Gopalakrishnan S . Wave Propagation in Inhomogeneous Layered Media: Solution of Forward and Inverse Problems. Acta Mechanica. 2004;169. 2004
  184. Chakraborty A, Gopalakrishnan S . A Higher Order Spectral element for Wave Propagation in Functionally Graded Materials. Acta Mechanica. 2004;172. 2004
  185. Garg AK, Mahapatra DR. Estimation of Composite Damage Model Parameters Using Spectral Finite Element and Neural Network. Composite Science and Technology. 2004; 64(16), (16). 2004
  186. Mitra M, Gopalakrishnan S, Bhat MS . Vibration Control in a composite box beam with Piezoelectric Actuators. Smart Materials and Structures. 2004;13. 2004
  187. Ali R, Mahapatra DR, Gopalakrishnan S . An Analytical Model for Piezoelectric Flexible Thin Film Capacitive Sensors. Sensors and Actuators A: Physical. 2004;116. 2004
  188. Sastry CVS, Mahapatra DR, Gopalakrishnan S, Ramamurthy TS . Distributed Sensing of Static and Dynamic Fracture in Self-Sensing Piezoelectric Composite: Finite Element Simulations. International Journal for Intelligent Materials and Systems. 2004;15. 2004
  189. Grag AK, Mahapatra DR, Suresh S, Gopalakrishnan S, Omkar SN . Estimation of Composite Damage Model Parameters Using Spectral Finite Element and Neural Network. Composite Science and Technology. 2004;40. 2004
  190. Mahapatra DR, Gopalakrishnan S. Spectral Finite Element Analysis of Coupled Wave Propagation in Composite Beams with Multiple Delaminations and Strip inclusions. International Journal for Solids and Structures. 2004;41. 2004
  191. Chakraborty A, Gopalakrishnan S . A spectrally formulated finite element for wave propagation analysis in layered composite media. International Journal for Solids and Structures. 2004;41(18). 2004
  192. Chakraborty A, Gopalakrishnan S. Thermoelastic Wave Propagation in Anisotropic Layered Media : A Spectral Element Formulation.. International Journal for Computational Methods. 2004;1(3). 2004
  193. Mitra M, Gopalakrishnan S, Bhat MS . A New Super Convergent Thin Walled Composite Beam Element for Analysis of Box Beam Structures. International Journal for Solids and Structures. 2004;41. 2004
  194. D. Kumar S, Mahapatra DR, Gopalakrishnan S. A Spectral Finite Element for wave propagation and Structural Diagnostic Analysis in a Composite beam with Transverse Cracks. Finite Elements in Analysis and Design. 2004;40. 2004
  195. Ghosh DP, Gopalakrishnan S . Constitutive relationships of Magnetostrictive material: Coupled Model. Computers, Materials and Continua. 2004;1(3). 2004
  196. Murty AVKrishna, Gopalakrishnan S . Comparison of design of the composite laminates with different failure theories. In Proceedings of ICASI 2004, International Conference on Advances in Structural Integrity. Indian Institute of Science, Bangalore, India; 2004. 2004
  197. Gopalakrishnan S. Title: Development of Non-Linear Finite Elements Using Super-Convergent Linear Element Solutions. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  198. Gopalakrishnan S. Wave Propagation in Anisotropic and inhomogeneous medium. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  199. Gopalakrishnan S. Spectral Element Models for Wave propagation Analysis, Structural Health Monitoring and Active control of Waves in Composite Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  200. Gopalakrishnan S, Bhat MS. An Exact Super Convergent Finite Element for the Analysis of Thin Walled Composite Box Beams with Embedded Smart Layers. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  201. Gopalakrishnan S. Development of Spectral Finite Element for Analysis of Surface Acoustic Waveguide. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  202. Gopalakrishnan S. Wave Propagation Analysis of Anisotropic and Inhomogeneous Materials Using Pseudo-Spectral Finite Element method. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2004. 2004
  203. Chakraborty A, Gopalakrishnan S . A Spectrally Formulated Finite Element for Wave Propagation in Functionally Graded Beams. International Journal for Solids and Structures. 2003;40(10). 2003
  204. Chakraborty A, Gopalakrishnan S. Various Numerical techniques for Analysis of Longitudinal Wave Propagation in Inhomogeneous On dimensional Waveguides. Acta Mechanica. 2003;162. 2003
  205. Jayachandran A, Gopalakrishnan S, Narayanan R . Improved Secant Matrices for the Post buckling Analysis of thin Composite Plates. International Journal of Structural Stability and Dynamics. 2003;3(2). 2003
  206. Sastry CVS, Mahapatra DR, Gopalakrishnan S, Ramamurthy TS. An Iterative System Equivalent Reduction Process for Extraction of High Frequency Response from Reduced Order Finite Element Model. Computer methods in Applied Mechanics and Engineering. 2003;192(15). 2003
  207. Chakraborty A, Gopalakrishnan S . Study of Poisson’s Contraction Effects in a Deep Laminated Composite Beam through a New Finite Element Formulation. Mechanics of Advanced Structures and Materials. 2003;10. 2003
  208. Sastry CVS, Mahapatra DR, Gopalakrishnan S, Ramamurthy TS . Effect of Actuation Phase on the SIF in Delaminated Composite with Embedded Piezoelectric Layers. Smart Materials and Structures. 2003;12. 2003
  209. Mahapatra DR, Gopalakrishnan S . Axial-Shear-Bending Coupled Wave Propagation in Thick Composite Beams. Composite Structures. 2003;59(1). 2003
  210. Mahapatra DR, Gopalakrishnan S . A Spectral Finite Element for Analysis of Wave Propagation in Uniform Composite Tubes. Journal of Sound and Vibration. 2003;268(3). 2003
  211. Sahoo N, Mahapatra DR, Jagadeesh G, Gopalakrishnan S, Reddy KPJ . An accelerometer balance system for measurement of aerodynamic force coefficients over blunt bodies in hypersonic shock tunnel. Measurment Science and Technology. 2003;14. 2003
  212. Mahapatra DR, Gopalakrishnan S . A Nonlinear Spectral Element Model for Analysis of Wave propagation in Solids with internal Friction and Dissipation. Lecture Series in Computer Science-Springer-Verlag. 2003;2668. 2003
  213. Chakraborty A, Gopalakrishnan S, Reddy JN . A New Beam Finite Element for the Analysis of Functionally Graded Materials. International Journal for Mechanical Sciences. 2003;45. 2003
  214. Chakraborty A, Mahapatra DR, Gopalakrishnan S . Finite Element Simulation of BAW Propagation in Inhomogeneous Plate due to Piezoelectric Actuation. Lecture Series in Computer Science-Springer-Verlag. 2003;2668. 2003
  215. Sahoo N, Mahapatra DR, Jagadeesh G, Gopalakrishnan S, Reddy KPJ. An accelerometer balance system for measurement of aerodynamic force coefficients over blunt bodies in hypersonic shock tunnels. Measurement Science and Technology. 2003;14(3). 2003
  216. Nag A, Mahapatra DR, Gopalakrishnan S, Sankar TS. A Spectral Finite Element with Embedded Delamination for Modeling of Wave Scattering in Composite Beams. Composite Science and Technology. 2003;63. 2003
  217. Saida E, Naik GN, Gopalakrishnan S. An Experimental Investigation of a Smart Laminated Composite beam with Magnetostrictive Patch for Health Monitoring Applications. Structural Health Monitoring. 2003;2(4). 2003
  218. Gopalakrishnan S. Wave Propagation Analysis and Structural health Monitoring of Transversely Cracked Composite Beam Using a Damaged Spectral Finite Element. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2003. 2003
  219. Gopalakrishnan S, Ramamurthy TS. Distributed Sensing and Actuation of Delaminated Smart Composite Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2003. 2003
  220. Gopalakrishnan S. Degraded Spectral Finite Element For Wave Propagation Analysis and Structural Health Monitoring. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2003. 2003
  221. Gopalakrishnan S . Behavior of Isoparametric Quadrilateral Family of Lagrangian Fluid Finite Element. International Journal for Numerical Methods in Engineering. 2002;54(5). 2002
  222. Chakraborty A, Mahapatra DR, Gopalakrishnan S. Finite Element Analysis of Free Vibration and Wave Propagation in Asymmetric Composite Beams with Structural Discontinuities. Composite Structures. 2002;55. 2002
  223. Nag A, Mahapatra DR, Gopalakrishnan S. Identification of Delamination in Composite Beam using a Damaged Spectral Element. Structural Health Monitoring. 2002;1(1). 2002
  224. Nag A, Mahapatra DR, Gopalakrishnan S . Identification of Delaminations in Composite Beams using Spectral Estimation and Genetic Algorithm. Smart Materials and Structures. 2002;11(6). 2002
  225. Mahapatra DR, Gopalakrishnan S. An Active Spectral Element Model for PID Feedback Control of Wave Propagation in Composite Beams. Advances in Vibration Engineering. 2002;1(2). 2002
  226. Gopalakrishnan S. A New Damaged Spectral Element for Wave Propagation Studies in Delaminated Composite beams and Structural Health Monitoring. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2002. 2002
  227. Gopalakrishnan S. Magnetostrictive Actuators for Delamination Sensing in Laminated Composite Structures. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2002. 2002
  228. Mahapatra DR, Gopalakrishnan S, Balachandran B . Active Feedback Control of Multiple Waves in Helicopter Gearbox Support Struts. Smart Materials and Structures. 2001;10(1046-1058). 2001
  229. Jayachandran A, Gopalakrishnan S, Narayanan R . Explicit incremental matrices for the post buckling analysis of thin plates with small initial curvature. International Journal for Structural Engineering and Mechanics. 2001;12(3). 2001
  230. Gopalakrishnan S. A Refined First Order Shear Flexible Finite Element for Asymmetrically Laminated Composite Beam. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2001. 2001
  231. Gopalakrishnan S. Higher Order Spectral Elements for Wave Propagation in Un-symmetric Laminated Composite Beams. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 2001. 2001
  232. Gopalakrishnan S. A Deep Rod Finite Element for Structural Dynamics and Wave propagation problems. International Journal for Numerical Methods in Engineering. 2000;48. 2000
  233. Gopalakrishnan S, Devi G. A Lagrangian Quadratic Triangular Fluid Finite Element for Fluid-Structure Interaction Problems. International Journal for Computational Engineering Science. 2000;1(2). 2000
  234. Gopalakrishnan S, Devi G . Behavior of Lagrangian Triangular Mixed Fluid Finite Elements. Sadhana. 2000;25(1).. 2000
  235. Mahapatra DR, Gopalakrishnan S, Sankar TS. Spectral Element Based Solutions for Wave propagation Analysis of Multiply Connected Unsymmetric Laminated Composite Beams. Journal of Sound and Vibration. 2000;257(5). 2000
  236. Gopalakrishnan S. A Spectrally Formulated Finite Element for Wave Motion in Layered Media. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science; 1999. 1999
  237. Gopalakrishnan S. Lagrangian Finite Elements for Dynamics of Fluid-Structure Interaction of Linear systems. Civil Engineering [Chennai, India]: Indian Institute of Technology, Madras; 1998. 1998
  238. Gopalakrishnan S. Disturbance Propagation in Structural Networks. Civil Engineering. [Chennai, India]: Indian Institute of Technology, Madras; 1996. 1996
  239. Gopalakrishnan S. Wave Propagation in Honeycomb Sandwich Structures Using Spectral Finite Elements. Aerospace Engineering. [Bangalore, India]: Indian Institute of Science. 1996
  240. Gopalakrishnan S, Doyle JF. Spectral Super-elements for Wave propagation in Structures with Local non-uniformities. Computer methods in Applied Mechanics and Engineering. 1995;121. 1995
  241. Martin M, Gopalakrishnan S, Doyle JF . Wave propagation in Multiply Connected Deep waveguides. Journal of Sound and Vibration. 1994;174(4). 1994
  242. Gopalakrishnan S, Doyle JF. Wave Propagation in Connected Waveguides of Varying Cross-section. Journal of Sound and Vibration. 1994;175(3). 1994
  243. Gopalakrishnan S, Martin M, Doyle JF. A Matrix Methodology for Spectral Analysis of Wave propagation in Multiple Connected Timoshenko Beams. Journal of Sound and Vibration. 1992;158(1). 1992
  • M.V.V.S Murthy, 2014. Wave Propagation in Honeycomb Sandwich Structures Using Spectral Finite Elements. (Thesis Submitted) External Registered student from ISRO Bangalore.
  • V. Ajith, 2013. Wave Propagation in Healthy and Defective Composite Structures Under Deterministic and Non deterministic Frame work.
  • Amuthan Arunkumar Ramabhadiran, 2012. Wave Propagation In Hyperelastic Waveguides. Presently working as Post-Doc at CALTECH, USA.
  • D. Krishna Kishor, 2011. Development of Novel Fluid Finite Elements for Fluid Structure Interaction Problems. DST-INSPIRE FELLOW.
  • G. Giridhara, 2010. Novel Damage Detection Methodologies for Structural health Monitoring of Metallic Structures. Quality Improvement Program Student from B M S College of Engineering.
  • R. Gangadaran, 2010. Structural Health Monitoring of thin Plate like Structures using Active and Passive wave based methods. Presently working as a Post doc at University of Bristol, UK.
  • Manish Trikha, 2010. Dynamics and Stability of a Launch Vehicle. External Registered student from ISRO Bangalore.
  • Rizwaan Ali, 2009. On Modeling of Constrained Thin Films for Structural Health Monitoring.
  • Mira Mitra, 2007. Wavelet Based Spectral Finite Elements for Wave Propagation Analysis in Isotropic, Composite and Nano-composite Structure. Currently Assistant professor, Department of Aerospace Engineering, Indian Institute of Technology, Mumbai, India.
  • G.N. Naik, 2007. Failure Mechanism Based Failure Theories in Laminated composite Structures. Currently Principle Research Scientist, Department of Aerospace Engineering, Indian Institute of Science, Bangalore. Worked towards his Ph.D as a staff registrant
  • D.P. Ghosh, 2006. Structural Health Monitoring of Composite Structures using Magnetostrictive Sensors and Actuators. Currently with L & T, Kolkatta.
  • A. Chakraborty, 2004. Wave Propagation in Anisotropic and inhomogeneous medium.
  • D.Roy Mahapatra, 2004. Spectral Element Models for Wave propagation Analysis, Structural Health Monitoring and Active control of Waves in Composite Structures.
  • Jonathan Rouffet, 2013. Active Wave Control Using Electro Active Polymers,.
  • M.V.V.S Murthy, 2007. Development of Super-Convergent Finite Element for Accurate Prediction of Inter-Laminar Stresses in Laminated Composite Beams. External Registered student from ISRO Bangalore, who also continued for PhD.
  • Mira Mitra, 2004. An Exact Super Convergent Finite Element for the Analysis of Thin Walled Composite Box Beams with Embedded Smart Layers. Candidate continued for PhD.
  • C.V.S Sastry, 2003. Distributed Sensing and Actuation of Delaminated Smart Composite Structures. Student got Best MSc (Engg) thesis award.
  • G. Devi, 1998. Lagrangian Finite Elements for Dynamics of Fluid-Structure Interaction of Linear systems. This student was guided at IIT Chennai for M.S. Degree.
  • B.P. Deepak, 2011. Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements. External Registered student from VSSC, Trivandrum. Joint student with
  • Pawan Soami, 2010. Wave propagation in One Dimensional Structures with Periodic Defects: Dispersion Characteristics and Fourier Transform Based Periodic Formulation for Time Domain Response Computation. Student is currently working at COMSOL, Banglore.
  • C. Harika, 2010. Dispersion Characteristics and Damage Quantification in One Dimensional Cracked waveguides. Currently Pursuing PhD at Cambridge University.
  • S. Narendar, 2009. Ultrasonic Wave Characteristics of Carbon Nanotubes and Graphene Sheets Using Non local Elasticity Theory,. Student is currently working at DRDL Hyderabad.
  • S. Tabrez, 2007. Spectral Finite Element modeling for corroded Metallic Structures and Degraded Composite Structures. External Registered student from NAL Bangalore.
  • R. B. Kulkarni, 2007. Spectrally formulated Finite Element for composite beams with Electrostrictive Material patches,. External Registered student from ISRO Bangalore.
  • Priyank Gupta, 2007. Sensitivity of Damage force to Crack orientation. External Registered student from SAC Ahamadabad.
  • K. G. Vinod, 2006. Free Vibration and Wave Propagation Analysis of Uniform and Tapered Rotating Beams Using Spectrally Formulated Finite Elements. External Registered student from VSSC, Trivandrum. Joint student with Prof. R. Ganguli.
  • A. Rampal, 2006. Active Control of Structure Borne Cabin Noise using Magnetostrictive Actuators. External Registered student from DRDO, Chandigargh.
  • A. Rinku, 2005. A Function Space Approach to Study Chebyshev Timoshenko Beam Finite Element. External Registered student from NAL Bangalore.
  • Ajit Kumar, 2005. Modified Virtual Crack Closure Technique Using Pseudo spectral Finite Element Method.
  • Sumeet Agarwal, 2004. Title: Development of Non-Linear Finite Elements Using Super-Convergent Linear Element Solutions.
  • A. Singhal, 2004. Development of Spectral Finite Element for Analysis of Surface Acoustic Waveguide.
  • R. Sridhar, 2004. Wave Propagation Analysis of Anisotropic and Inhomogeneous Materials Using Pseudo-Spectral Finite Element method.
  • D. Sreekanth Kumar, 2003. Wave Propagation Analysis and Structural health Monitoring of Transversely Cracked Composite Beam Using a Damaged Spectral Finite Element. Srtudent is currently with General Electric, Jack Welch Center Bangalore.
  • Adhir Garg, 2003. Degraded Spectral Finite Element For Wave Propagation Analysis and Structural Health Monitoring. Currently with Geometric Software solutions.
  • E. Saida, 2002. Magnetostrictive Actuators for Delamination Sensing in Laminated Composite Structures.
  • A. Nag, 2002. A New Damaged Spectral Element for Wave Propagation Studies in Delaminated Composite beams and Structural Health Monitoring . Student is Currently with Geometric software solutions.
  • Sandeep Thakur, 2001. Higher Order Spectral Elements for Wave Propagation in Un-symmetric Laminated Composite Beams. Student is currently Head of the Airbus Office in Bangalore.
  • Abir Chakraborty, 2001. A Refined First Order Shear Flexible Finite Element for Asymmetrically Laminated Composite Beam. Student is Currently with GE Electric, Jack Welch center, Bangalore.
  • Subhash Samad, 1999. A Spectrally Formulated Finite Element for Wave Motion in Layered Media.
  • P.V.V. Prasada Rao, 1996. Disturbance Propagation in Structural Networks,. Student was an M.Tech Student at IIT, Madras. This student was guided during the time spent at IIT Chennai.

This will be updated soon.