Calculus of Variations and Geometric Measure Theory
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F. Sapio

A dynamic model for viscoelasticity in domains with time-dependent cracks

created by sapio on 05 Jun 2020
modified on 16 Jan 2021



Inserted: 5 jun 2020
Last Updated: 16 jan 2021

Year: 2020


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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