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math.AP2024
Ideal Magnetohydrodynamics and Field Dislocation Mechanics
Amit Acharya
The fully nonlinear (geometric and material) system of Field Dislocation Mechanics is reviewed to establish an exact analogy with the equations of ideal magnetohydrodynamics (ideal…
math.AP2024
A Hidden Convexity of Nonlinear Elasticity
Siddharth Singh, Janusz Ginster, Amit Acharya
A technique for developing convex dual variational principles for the governing PDE of nonlinear elastostatics and elastodynamics is presented. This allows the definition of notion…