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arxiv: 1408.0831 · v3 · pith:PRA4QPEKnew · submitted 2014-08-04 · 🧮 math.AP

The problem of dynamic cavitation in nonlinear elasticity

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keywords cavitationelasticitynonlinearproblemsolutionsappliedcavitycontinuum
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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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