A Dynamic model for viscoelasticity in domains with time-dependent cracks
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Date
2020-06-03
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Abstract
In this paper, we prove the existence of solutions for a class of viscoelastic dynamic systems on time–dependent cracking domains. Finally we exhibit an example which shows that our model overcomes the viscoelastic crack paradox; indeed, the energy-dissipation balance is satisfied provided we take into account the additional dissipative term due to crack growth.
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linear second order hyperbolic systems; dynamic fracture mechanics; elastodynamics; viscoelasticity; cracking domains