The problem of dynamic cavitation in nonlinear elasticity
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.

@article{SLSEDP_2012-2013____A14_0,
author = {Giesselmann, Jan and Miroshnikov, Alexey and Tzavaras, Athanasios E.},
title = {The problem of dynamic cavitation in nonlinear elasticity},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:14},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2012-2013},
doi = {10.5802/slsedp.41},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/slsedp.41/}
}
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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