A dynamic model for viscoelastic materials with prescribed growing cracks
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Date
2019-04-30
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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.
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linear second order hyperbolic systems, fracture mechanics, viscoelasticity, elastodynamics, cracking domains