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math-ph2026
Clapeyron-type theorems in nonlinear elasticity
Yury Grabovsky, Lev Truskinovsky
Clapeyron's Theorem of classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied…
math-ph2026
Elastodynamics from a variational standpoint: integral equalities and inequalities
Yury Grabovsky, Lev Truskinovsky
As it is well known, solutions of equations of nonlinear elastodynamics, representing extremals of the action functional, can form shocks. We adapt the classical approach of Emmy N…