Inserted: 30 apr 2019
Last Updated: 2 sep 2021
Journal: Annali di Matematica Pura ed Applicata (1923 -)
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