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.File in questo prodotto:
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