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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 TypeJournal Article
Year of Publication2020
AuthorsCaponi, M, Sapio, F
Volume199
Issue4
Pagination1263 - 1292
Date Published2020/08/01
ISBN Number1618-1891
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.

URLhttps://doi.org/10.1007/s10231-019-00921-1
Short TitleAnnali di Matematica Pura ed Applicata (1923 -)

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