171 citations · 206 across the 8 of their papers we have counts for
9 papers
Magnetic Stabilization of the Greenhill Instability and Hysteretic Switching in Slender Rods
Vivekanand Dabade, Likhit Ganedi, Mohd Tahseen +1
In a bulk ferromagnet, magnetic energy is six orders of magnitude weaker than elastic energy. Slenderness removes this disparity. In a thin ferromagnetic rod, the two energies scal…
Spatial deformation of a ferromagnetic elastic rod
G. R. Krishna Chand Avatar, Vivekanand Dabade
Ferromagnetic elastic slender structures offer the potential for large actuation displacements under modest external magnetic fields, due to the magneto-mechanical coupling. This p…
Revisiting the cofactor conditions: Elimination of transition layers in compound domains
Mohd Tahseen, Vivekanand Dabade
This paper investigates the conditions necessary for the elimination of transition layers at interfaces involving compound domains, extending the classical framework of cofactor co…
Kirchhoff's analogy for a planar deformable ferromagnetic rod
G. R. Krishna Chand Avatar, Vivekanand Dabade
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 parame…
Remote Nucleation and Stationary Domain Walls via Transition Waves in Tristable Magnetoelastic Lattices
Anusree Ray, Samanvay Anand, Vivekanand Dabade +1
We present a magnetoelastic lattice in which a localized external magnetic field, generated by an assembly of fixed magnets, tunes the potential landscape to create monostable, bis…
Deformation of a planar ferromagnetic elastic ribbon
G R Krishna Chand Avatar, Vivekanand Dabade
While extensive studies have been conducted on purely elastic ribbons, in this paper we explore the influence of magnetisation on the deformation of planar ferromagnetic elastic ri…
Branching of twins in shape memory alloys revisited
Hanus Seiner, Paul Plucinsky, Vivekanand Dabade +2
We study the branching of twins appearing in shape memory alloys at the interface between austenite and martensite. In the framework of three-dimensional non-linear elasticity theo…
Bounds on the energy of a soft cubic ferromagnet with large magnetostriction
Raghavendra Venkatraman, Vivekanand Dabade, Richard D. James
We complete the analysis initiated in [5] on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for th…
Study of the cofactor conditions: conditions of supercompatibility between phases
Xian Chen, Vijay Srivastava, Vivekanand Dabade +1
The cofactor conditions, introduced in James and Zhang, are conditions of compatibility between phases in martensitic materials. They consist of three subconditions: i) the conditi…