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 01 May 2019


Submitted Paper

Inserted: 30 apr 2019
Last Updated: 1 may 2019

Pages: 20
Year: 2019


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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