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Construction of entropy solutions for one dimensional elastodynamics via time discretisation

Sophia Demoulini; David M. A. Stuart; Athanasios E. Tzavaras — 2000

Annales de l'I.H.P. Analyse non linéaire

The problem of dynamic cavitation in nonlinear elasticity

Jan Giesselmann; Alexey Miroshnikov; Athanasios E. Tzavaras

Séminaire Laurent Schwartz — EDP et applications

The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy) due to a forming cavity.

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