The problem of dynamic cavitation in nonlinear elasticity
Jan Giesselmann1; Alexey Miroshnikov2; Athanasios E. Tzavaras3
1 Weierstrass Institute Berlin Germany
2 Department of Mathematics and Statistics University of Massachusetts Amherst USA
3 Department of Applied Mathematics University of Crete Heraklion Greece and Institute for Applied and Computational Mathematics FORTH Heraklion Greece
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 14, 17 p.

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.

DOI: 10.5802/slsedp.41
Jan Giesselmann 1; Alexey Miroshnikov 2; Athanasios E. Tzavaras 3

1 Weierstrass Institute Berlin Germany
2 Department of Mathematics and Statistics University of Massachusetts Amherst USA
3 Department of Applied Mathematics University of Crete Heraklion Greece and Institute for Applied and Computational Mathematics FORTH Heraklion Greece 
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Jan Giesselmann; Alexey Miroshnikov; Athanasios E. Tzavaras. The problem of dynamic cavitation in nonlinear elasticity. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 14, 17 p. doi : 10.5802/slsedp.41. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.41/

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