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arXiv · 1408.0831

The problem of dynamic cavitation in nonlinear elasticity

Jan Giesselmann·Alexey Miroshnikov·Athanasios E. Tzavaras
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Abstract

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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Jan Giesselmann, Alexey Miroshnikov, Athanasios E. Tzavaras. 2014-08-04. The problem of dynamic cavitation in nonlinear elasticity. https://doi.org/10.5802/slsedp.41

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