The problem of dynamic cavitation in nonlinear elasticity
Giesselmann, Jan1 ; Miroshnikov, Alexey2 ; Tzavaras, Athanasios E.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
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé 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
Giesselmann, Jan 1 ; Miroshnikov, Alexey 2 ; Tzavaras, Athanasios E. 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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Giesselmann, Jan; Miroshnikov, Alexey; Tzavaras, Athanasios E. The problem of dynamic cavitation in nonlinear elasticity. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 14, 17 p. doi : 10.5802/slsedp.41. http://archive.numdam.org/articles/10.5802/slsedp.41/

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