The complete list of publications is available on Google Scholar.
Avatar, G. R. Krishna Chand; Dabade, Vivekanand
Deformation of a Planar Ferromagnetic Elastic Ribbon Journal Article
In: Journal of Elasticity, vol. 157, no. 1, 2024, ISSN: 1573-2681.
@article{AvatarDabade2024,
title = {Deformation of a Planar Ferromagnetic Elastic Ribbon},
author = {G. R. Krishna Chand Avatar and Vivekanand Dabade},
url = {http://dx.doi.org/10.1007/s10659-024-10100-w},
doi = {10.1007/s10659-024-10100-w},
issn = {1573-2681},
year = {2024},
date = {2024-12-01},
urldate = {2024-12-01},
journal = {Journal of Elasticity},
volume = {157},
number = {1},
publisher = {Springer Science and Business Media LLC},
abstract = {In this paper we explore the influence of magnetisation on the deformation of planar ferromagnetic elastic ribbons. We begin the investigation by deriving the leading-order magnetic energy associated with a curved planar ferromagnetic elastic ribbon. The sum of the magnetic and the elastic energy is the total energy of the ribbon. We derive the equilibrium equations by taking the first variation of the total energy. We then systematically determine and analyse solutions to these equilibrium equations under various canonical boundary conditions. We also determine the stability of the equilibrium solutions. Comparing our findings with the well-studied Euler’s elastica provides insights into the magnetic effects on the deformation behaviour of elastic ribbons. Our analysis contributes to a deeper understanding of the interplay between magnetisation and the mechanical response of planar ferromagnetic structures, and offers valuable insights for both theoretical and practical applications.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
In this paper we explore the influence of magnetisation on the deformation of planar ferromagnetic elastic ribbons. We begin the investigation by deriving the leading-order magnetic energy associated with a curved planar ferromagnetic elastic ribbon. The sum of the magnetic and the elastic energy is the total energy of the ribbon. We derive the equilibrium equations by taking the first variation of the total energy. We then systematically determine and analyse solutions to these equilibrium equations under various canonical boundary conditions. We also determine the stability of the equilibrium solutions. Comparing our findings with the well-studied Euler’s elastica provides insights into the magnetic effects on the deformation behaviour of elastic ribbons. Our analysis contributes to a deeper understanding of the interplay between magnetisation and the mechanical response of planar ferromagnetic structures, and offers valuable insights for both theoretical and practical applications.
Avatar, G. R. Krishna Chand; Dabade, Vivekanand
Kirchhoff's analogy for a planar ferromagnetic rod Miscellaneous Forthcoming
Submitted to Journal of Applied Mechanics (ASME), Forthcoming.
@misc{avatar2024kirchhoffsanalogyplanarferromagnetic,
title = {Kirchhoff's analogy for a planar ferromagnetic rod},
author = {G. R. Krishna Chand Avatar and Vivekanand Dabade},
url = {https://arxiv.org/abs/2411.19270},
doi = {10.48550/arXiv.2411.19270},
year = {2024},
date = {2024-01-01},
urldate = {2024-01-01},
abstract = {Kirchhoff's kinetic analogy relates the equilibrium solutions of an elastic rod or strip to the motion of a spinning top. In this analogy, time is replaced by the arc length parameter in the phase portrait to determine the equilibrium configurations of the rod. Predicted equilibrium solutions from the phase portrait for specific boundary value problems, as well as certain localized solutions, have been experimentally observed. In this study, we employ the kinetic analogy to investigate the equilibrium solutions of planar soft ferromagnetic rods subjected to transverse and longitudinal external magnetic fields. Our analysis reveals a subcritical pitchfork bifurcation in the phase portrait of a ferromagnetic rod subjected to transverse external magnetic field as the axial load is decreased continuously from a large compressive load. Similarly, a supercritical pitchfork bifurcation is observed in the case of longitudinal external magnetic field. We predict equilibrium configurations for a free-standing soft ferromagnetic elastic rod and the same subjected to canonical boundary conditions. Furthermore, we observe novel localized equilibrium solutions arising from homoclinic and heteroclinic orbits, which are absent in the phase portraits of purely elastic rods.},
howpublished = {Submitted to Journal of Applied Mechanics (ASME)},
keywords = {},
pubstate = {forthcoming},
tppubtype = {misc}
}
Kirchhoff's kinetic analogy relates the equilibrium solutions of an elastic rod or strip to the motion of a spinning top. In this analogy, time is replaced by the arc length parameter in the phase portrait to determine the equilibrium configurations of the rod. Predicted equilibrium solutions from the phase portrait for specific boundary value problems, as well as certain localized solutions, have been experimentally observed. In this study, we employ the kinetic analogy to investigate the equilibrium solutions of planar soft ferromagnetic rods subjected to transverse and longitudinal external magnetic fields. Our analysis reveals a subcritical pitchfork bifurcation in the phase portrait of a ferromagnetic rod subjected to transverse external magnetic field as the axial load is decreased continuously from a large compressive load. Similarly, a supercritical pitchfork bifurcation is observed in the case of longitudinal external magnetic field. We predict equilibrium configurations for a free-standing soft ferromagnetic elastic rod and the same subjected to canonical boundary conditions. Furthermore, we observe novel localized equilibrium solutions arising from homoclinic and heteroclinic orbits, which are absent in the phase portraits of purely elastic rods.
Ray, Anusree; Anand, Samanvay; Dabade, Vivekanand; Chaunsali, Rajesh
Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices Miscellaneous Forthcoming
Forthcoming.
@misc{ray2024remotenucleationstationarydomain,
title = {Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices},
author = {Anusree Ray and Samanvay Anand and Vivekanand Dabade and Rajesh Chaunsali},
url = {https://arxiv.org/abs/2405.01168},
year = {2024},
date = {2024-01-01},
urldate = {2024-01-01},
abstract = {We present a tunable magnetoelastic lattice with a multistable onsite potential, focusing on a tristable potential. Through experimental and numerical analysis, we verify the existence of three types of transition waves with distinct amplitudes and velocities. Additionally, we establish the presence of a scaling law that elucidates various characteristics of these transition waves. By manipulating the onsite potential, we investigate the collision dynamics of two transition waves within the system. In chains featuring an asymmetric potential well, the collision of similar transition waves leads to the remote nucleation of a new phase. In chains with a symmetric potential well, the collision of dissimilar transition waves results in the formation of a stationary domain wall.},
keywords = {},
pubstate = {forthcoming},
tppubtype = {misc}
}
We present a tunable magnetoelastic lattice with a multistable onsite potential, focusing on a tristable potential. Through experimental and numerical analysis, we verify the existence of three types of transition waves with distinct amplitudes and velocities. Additionally, we establish the presence of a scaling law that elucidates various characteristics of these transition waves. By manipulating the onsite potential, we investigate the collision dynamics of two transition waves within the system. In chains featuring an asymmetric potential well, the collision of similar transition waves leads to the remote nucleation of a new phase. In chains with a symmetric potential well, the collision of dissimilar transition waves results in the formation of a stationary domain wall.
Venkatraman, Raghavendra; Dabade, Vivekanand; James, Richard D.
Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction Journal Article
In: Journal of Nonlinear Science, vol. 30, no. 6, pp. 3367–3388, 2020, ISSN: 1432-1467.
@article{Venkatraman2020,
title = {Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction},
author = {Raghavendra Venkatraman and Vivekanand Dabade and Richard D. James},
url = {http://dx.doi.org/10.1007/s00332-020-09653-6},
doi = {10.1007/s00332-020-09653-6},
issn = {1432-1467},
year = {2020},
date = {2020-09-01},
urldate = {2020-09-01},
journal = {Journal of Nonlinear Science},
volume = {30},
number = {6},
pages = {3367–3388},
publisher = {Springer Science and Business Media LLC},
abstract = {We complete the analysis initiated in Dabade et al. (J Nonlinear Sci 21:415–460, 2018) on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including magnetostriction contribution, for a two-dimensional sample. This corresponds to the micromagnetic energy per unit length of an infinitely thick sample. A consequence of our analysis is an explanation of the multi-scale zig-zag Landau state patterns recently reported in single crystal Galfenol disks from an energetic viewpoint. Our proofs use a number of well-developed techniques in energy-driven pattern formation.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We complete the analysis initiated in Dabade et al. (J Nonlinear Sci 21:415–460, 2018) on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including magnetostriction contribution, for a two-dimensional sample. This corresponds to the micromagnetic energy per unit length of an infinitely thick sample. A consequence of our analysis is an explanation of the multi-scale zig-zag Landau state patterns recently reported in single crystal Galfenol disks from an energetic viewpoint. Our proofs use a number of well-developed techniques in energy-driven pattern formation.
Seiner, Hanuš; Plucinsky, Paul; Dabade, Vivekanand; Benešová, Barbora; James, Richard D.
Branching of twins in shape memory alloys revisited Journal Article
In: Journal of the Mechanics and Physics of Solids, vol. 141, pp. 103961, 2020, ISSN: 0022-5096.
@article{Seiner2020,
title = {Branching of twins in shape memory alloys revisited},
author = {Hanuš Seiner and Paul Plucinsky and Vivekanand Dabade and Barbora Benešová and Richard D. James},
url = {http://dx.doi.org/10.1016/j.jmps.2020.103961},
doi = {10.1016/j.jmps.2020.103961},
issn = {0022-5096},
year = {2020},
date = {2020-08-01},
urldate = {2020-08-01},
journal = {Journal of the Mechanics and Physics of Solids},
volume = {141},
pages = {103961},
publisher = {Elsevier BV},
abstract = {We complete the analysis initiated in Dabade et al. (J Nonlinear Sci 21:415–460, 2018) on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including magnetostriction contribution, for a two-dimensional sample. This corresponds to the micromagnetic energy per unit length of an infinitely thick sample. A consequence of our analysis is an explanation of the multi-scale zig-zag Landau state patterns recently reported in single crystal Galfenol disks from an energetic viewpoint. Our proofs use a number of well-developed techniques in energy-driven pattern formation.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We complete the analysis initiated in Dabade et al. (J Nonlinear Sci 21:415–460, 2018) on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including magnetostriction contribution, for a two-dimensional sample. This corresponds to the micromagnetic energy per unit length of an infinitely thick sample. A consequence of our analysis is an explanation of the multi-scale zig-zag Landau state patterns recently reported in single crystal Galfenol disks from an energetic viewpoint. Our proofs use a number of well-developed techniques in energy-driven pattern formation.
Dabade, Vivekanand; Venkatraman, Raghavendra; James, Richard D.
Micromagnetics of Galfenol Journal Article
In: Journal of Nonlinear Science, vol. 29, no. 2, pp. 415–460, 2018, ISSN: 1432-1467.
@article{Dabade2018,
title = {Micromagnetics of Galfenol},
author = {Vivekanand Dabade and Raghavendra Venkatraman and Richard D. James},
url = {http://dx.doi.org/10.1007/s00332-018-9492-8},
doi = {10.1007/s00332-018-9492-8},
issn = {1432-1467},
year = {2018},
date = {2018-09-01},
urldate = {2018-09-01},
journal = {Journal of Nonlinear Science},
volume = {29},
number = {2},
pages = {415–460},
publisher = {Springer Science and Business Media LLC},
abstract = {We study the micromagnetics of soft cubic ferromagnets with large magnetostriction, with the goal of understanding the microstructure and behavior of recently reported single-crystal Galfenol samples [Chopra and Wuttig in Nature 521(7552):340–343, 2015]. First, taking the no-exchange formulation of the micromagnetics energy [De Simone and James in J Mech Phys Solids 50(2):283–320, 2002], we construct minimizing sequences that yield local average magnetization and strain curves matching the experimental findings of Chopra and Wuttig (2015). Then, reintroducing a sharp-interface version of the exchange energy [Choksi and Kohn in Commun Pure Appl Math 51(3):259–289, 1998], we construct normal and zig-zag Landau states; within the parameter regime of Galfenol, we show that the latter achieves lower-energy scaling via equipartition of energy between the 90 degrees wall energy, 180 degrees wall energy and the anisotropy energy. This forms the first step in adapting the program of Kohn and Müller [Philos Mag A 66(5):697–715, 1992] to explain why certain magnetic microstructures are observed over others.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We study the micromagnetics of soft cubic ferromagnets with large magnetostriction, with the goal of understanding the microstructure and behavior of recently reported single-crystal Galfenol samples [Chopra and Wuttig in Nature 521(7552):340–343, 2015]. First, taking the no-exchange formulation of the micromagnetics energy [De Simone and James in J Mech Phys Solids 50(2):283–320, 2002], we construct minimizing sequences that yield local average magnetization and strain curves matching the experimental findings of Chopra and Wuttig (2015). Then, reintroducing a sharp-interface version of the exchange energy [Choksi and Kohn in Commun Pure Appl Math 51(3):259–289, 1998], we construct normal and zig-zag Landau states; within the parameter regime of Galfenol, we show that the latter achieves lower-energy scaling via equipartition of energy between the 90 degrees wall energy, 180 degrees wall energy and the anisotropy energy. This forms the first step in adapting the program of Kohn and Müller [Philos Mag A 66(5):697–715, 1992] to explain why certain magnetic microstructures are observed over others.
Jiang, Yanfeng; Dabade, Vivekanand; Allard, Lawrence F.; Lara-Curzio, Edgar; James, Richard; Wang, Jian-Ping
Synthesis of α^{′′}-Fe_{16}N_{2} Compound Anisotropic Magnet by the Strained-Wire Method Journal Article
In: Phys. Rev. Appl., vol. 6, iss. 2, pp. 024013, 2016.
@article{PhysRevApplied.6.024013,
title = {Synthesis of α^{′′}-Fe_{16}N_{2} Compound Anisotropic Magnet by the Strained-Wire Method},
author = {Yanfeng Jiang and Vivekanand Dabade and Lawrence F. Allard and Edgar Lara-Curzio and Richard James and Jian-Ping Wang},
url = {https://link.aps.org/doi/10.1103/PhysRevApplied.6.024013},
doi = {10.1103/PhysRevApplied.6.024013},
year = {2016},
date = {2016-08-01},
urldate = {2016-08-01},
journal = {Phys. Rev. Appl.},
volume = {6},
issue = {2},
pages = {024013},
publisher = {American Physical Society},
abstract = {𝛼′′−Fe16N2 is considered as one of the most promising candidates for future rare-earth-free magnets, showing the highest saturation magnetization reported so far. We propose and demonstrate a “strained-wire method” to synthesize 𝛼′′−Fe16N2 compound anisotropic magnets with an enhanced hard magnetic property, with a direct experimental observation of the intercoupling between tensile strain and the martensitic phase transition. The principle is helpful for the generation of another martensitic phase. In this paper, the method is demonstrated on an 𝛼′′−Fe16N2 compound permanent magnet preparation by starting from pure bulk iron, with urea as the nitrogen provider. A uniaxial tensile stress is applied on the wire-shaped sample during the postannealing stage, producing a promising permanent magnet with a hard magnet property which lacks any rare-earth elements. The sample synthesized in the lab exhibits a coercivity of 1220 Oe and an energy product of up to 9 MGOe. The mechanism of the strained-wire method is analyzed based on scanning-transmission-electron-microscopy characterizations of samples with different strains. We observe a strain-induced recrystallization of 𝛼′′−Fe16N2 samples at a low annealing temperature (150 °C). We demonstrate that this strained-wire method can be used on 𝛼′′−Fe16N2 samples to increase the 𝛼′′−Fe16N2 phase-volume ratio and to fine-tune its microstructure at a low temperature. Some further characterization results are also included in this paper. The physics of the influence of tensile stress on the martensitic phase transition is discussed.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
𝛼′′−Fe16N2 is considered as one of the most promising candidates for future rare-earth-free magnets, showing the highest saturation magnetization reported so far. We propose and demonstrate a “strained-wire method” to synthesize 𝛼′′−Fe16N2 compound anisotropic magnets with an enhanced hard magnetic property, with a direct experimental observation of the intercoupling between tensile strain and the martensitic phase transition. The principle is helpful for the generation of another martensitic phase. In this paper, the method is demonstrated on an 𝛼′′−Fe16N2 compound permanent magnet preparation by starting from pure bulk iron, with urea as the nitrogen provider. A uniaxial tensile stress is applied on the wire-shaped sample during the postannealing stage, producing a promising permanent magnet with a hard magnet property which lacks any rare-earth elements. The sample synthesized in the lab exhibits a coercivity of 1220 Oe and an energy product of up to 9 MGOe. The mechanism of the strained-wire method is analyzed based on scanning-transmission-electron-microscopy characterizations of samples with different strains. We observe a strain-induced recrystallization of 𝛼′′−Fe16N2 samples at a low annealing temperature (150 °C). We demonstrate that this strained-wire method can be used on 𝛼′′−Fe16N2 samples to increase the 𝛼′′−Fe16N2 phase-volume ratio and to fine-tune its microstructure at a low temperature. Some further characterization results are also included in this paper. The physics of the influence of tensile stress on the martensitic phase transition is discussed.
Dabade, Vivekanand; Marath, Navaneeth K.; Subramanian, Ganesh
The effect of inertia on the orientation dynamics of anisotropic particles in simple shear flow Journal Article
In: Journal of Fluid Mechanics, vol. 791, pp. 631–703, 2016, ISSN: 1469-7645.
@article{Dabade2016,
title = {The effect of inertia on the orientation dynamics of anisotropic particles in simple shear flow},
author = {Vivekanand Dabade and Navaneeth K. Marath and Ganesh Subramanian},
url = {http://dx.doi.org/10.1017/jfm.2016.14},
doi = {10.1017/jfm.2016.14},
issn = {1469-7645},
year = {2016},
date = {2016-02-01},
journal = {Journal of Fluid Mechanics},
volume = {791},
pages = {631–703},
publisher = {Cambridge University Press (CUP)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Song, Yintao; Chen, Xian; Dabade, Vivekanand; Shield, Thomas W.; James, Richard D.
Enhanced reversibility and unusual microstructure of a phase-transforming material Journal Article
In: Nature, vol. 502, no. 7469, pp. 85–88, 2013, ISSN: 1476-4687.
@article{Song2013,
title = {Enhanced reversibility and unusual microstructure of a phase-transforming material},
author = {Yintao Song and Xian Chen and Vivekanand Dabade and Thomas W. Shield and Richard D. James},
url = {http://dx.doi.org/10.1038/nature12532},
doi = {10.1038/nature12532},
issn = {1476-4687},
year = {2013},
date = {2013-10-01},
urldate = {2013-10-01},
journal = {Nature},
volume = {502},
number = {7469},
pages = {85–88},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Our Funding Sources
Indian Institute of Science
- Startup grant
Indian Space Research Organization
- Space Technology Center
Defence Research and Development Organization