Multiple Independent Cavitation in 2D NeoHookean Materials

2019/01/18 by Victor Cañulef-Aguilar, Cañulef-Aguilar, Victor
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Cellular and Composite Structures #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Ultrasound and Cavitation Phenomena

paper · pdf · doi:10.48550/arxiv.1901.06174

openalex publication_date 2019/01/18 · openalex created_date 2019/01/25 · openalex updated_date 2026/07/28

Abstract

In this thesis we find an upper bound for the stretch factor of an elastic incompressible material subject to multiaxial traction, under which one can ensure that there is still no coalescence. The problem involves classical elliptic regularity theory (and the analysis of the dependence of the estimates on the domain), from which we get a regularity result for a free boundary problem.

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