A dynamic model for viscoelastic materials with prescribed growing cracks
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866908573823401984 |
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| author | Caponi, Maicol Sapio, Francesco |
| author_facet | Caponi, Maicol Sapio, Francesco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_13104 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A dynamic model for viscoelastic materials with prescribed growing cracks Caponi, Maicol Sapio, Francesco Analysis of PDEs Functional Analysis 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. |
| title | A dynamic model for viscoelastic materials with prescribed growing cracks |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/1904.13104 |