| Title | A dynamic model for viscoelastic materials with prescribed growing cracks |
| Publication Type | Journal Article |
| Year of Publication | 2020 |
| Authors | Caponi, M, Sapio, F |
| Volume | 199 |
| Issue | 4 |
| Pagination | 1263 - 1292 |
| Date Published | 2020/08/01 |
| ISBN Number | 1618-1891 |
| 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. |
| URL | https://doi.org/10.1007/s10231-019-00921-1 |
| Short Title | Annali di Matematica Pura ed Applicata (1923 -) |
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