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arXiv · 1904.13104

A dynamic model for viscoelastic materials with prescribed growing cracks

Maicol Caponi·Francesco Sapio
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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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Maicol Caponi, Francesco Sapio. 2019-04-30. A dynamic model for viscoelastic materials with prescribed growing cracks. https://doi.org/10.1007/s10231-019-00921-1

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