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A dynamic model for viscoelastic materials with prescribed growing cracks

TitleA dynamic model for viscoelastic materials with prescribed growing cracks
Publication TypePreprint
2019
AuthorsCaponi, M, Sapio, F

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.

http://preprints.sissa.it:8180/xmlui/handle/1963/35334

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