184 citations · 506 across the 39 of their papers we have counts for
45 papers
Action principles for dissipative, non-holonomic Newtonian mechanics
Amit Acharya, Ambar N. Sengupta
A methodology for deriving dual variational principles for the classical Newtonian mechanics of mass points in the presence of applied forces, interaction forces, and constraints,…
Interface-dominated plasticity and kink bands in metallic nanolaminates
Abhishek Arora, Rajat Arora, Amit Acharya
The theoretical and computational framework of finite deformation mesoscale field dislocation mechanics (MFDM) is used to understand the salient aspects of kink-band formation in C…
Modeling of experimentally observed topological defects inside bulk polycrystals
Siddharth Singh, He Liu, Rajat Arora +2
A rigorous methodology is developed for computing elastic fields generated by experimentally observed defect structures within grains in a polycrystal that has undergone tensile ex…
Hidden convexity in the heat, linear transport, and Euler's rigid body equations: A computational approach
Uditnarayan Kouskiya, Amit Acharya
A finite element based computational scheme is developed and employed to assess a duality based variational approach to the solution of the linear heat and transport PDE in one spa…
Vector Field Models for Nematic Disclinations
Amit Acharya, Irene Fonseca, Likhit Ganedi +1
In this paper, a model for defects that was introduced in \cite{ZANV} is studied. In the literature, the setting of most models for defects is the function space SBV (special bound…
A dual variational principle for nonlinear dislocation dynamics
Amit Acharya
A dual variational principle is defined for the nonlinear system of PDE describing the dynamics of dislocations in elastic solids. The dual variational principle accounting for a s…