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.

A dynamic model for viscoelastic materials with prescribed growing cracks / Caponi, M.; Sapio, F.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 199:4(2020), pp. 1263-1292. [10.1007/s10231-019-00921-1]

A dynamic model for viscoelastic materials with prescribed growing cracks

Caponi, M.
;
Sapio, F.
2020-01-01

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.
2020
199
4
1263
1292
https://arxiv.org/abs/1904.13104
Caponi, M.; Sapio, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/125017
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