The problem of dynamic cavitation in nonlinear elasticity
Jan Giesselmann, Alexey Miroshnikov, Athanasios E. Tzavaras
TL;DR
This paper applies the concept of slic-solutions to analyze cavitation in nonlinear elasticity, challenging the non-uniqueness of entropic weak solutions with polyconvex energy by examining cavity formation.
Contribution
It introduces the use of slic-solutions to reassess cavitation problems, providing new insights into solution uniqueness in nonlinear elasticity.
Findings
Slic-solutions offer a new perspective on cavitation analysis.
The study questions the non-uniqueness of entropic weak solutions.
Cavity formation impacts solution behavior in nonlinear elasticity.
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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