Geodesic
The problem of dynamic cavitation in nonlinear elasticity
Giesselmann, Jan1; Miroshnikov, Alexey2; Tzavaras, Athanasios E.3
1Weierstrass Institute Berlin Germany
2Department of Mathematics and Statistics University of Massachusetts Amherst USA
3Department 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.

See the original proceeding notice from the Numdam source

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 
Giesselmann, Jan; Miroshnikov, Alexey; Tzavaras, Athanasios E. 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
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     title = {The problem of dynamic cavitation in nonlinear elasticity},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:14},
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