Calculus of Variations and Geometric Measure Theory
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M. Caponi - F. Sapio

A dynamic model for viscoelastic materials with prescribed growing cracks

created by sapio on 30 Apr 2019
modified on 02 Sep 2021

[BibTeX]

Published Paper

Inserted: 30 apr 2019
Last Updated: 2 sep 2021

Journal: Annali di Matematica Pura ed Applicata (1923 -)
Pages: 23
Year: 2019
Doi: 10.1007/s10231-019-00921-1

ArXiv: 1904.13104 PDF
Links: Journal site

Abstract:

In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time-dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions we also show a uniqueness result. Finally, we exhibit an example where the energy-dissipation balance is not satisfied, showing there is an additional dissipation due to the crack growth.

Keywords: elastodynamics, Viscoelasticity, linear second order hyperbolic systems, dynamic fracture mechanics, cracking domains


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