Energy-dissipation balance of a smooth moving crack
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866908573828644864 |
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| author | Caponi, Maicol Lucardesi, Ilaria Tasso, Emanuele |
| author_facet | Caponi, Maicol Lucardesi, Ilaria Tasso, Emanuele |
| contents | In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover, we characterize the singularity of the displacement near the crack tip, generalizing the result in [S.Nicaise, A.M.Sandig - \textit{J. Math. Anal. Appl.} 2007] valid for straight fractures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_02498 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Energy-dissipation balance of a smooth moving crack Caponi, Maicol Lucardesi, Ilaria Tasso, Emanuele Analysis of PDEs 35L05, 35Q74, 74H35, 74R10 In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover, we characterize the singularity of the displacement near the crack tip, generalizing the result in [S.Nicaise, A.M.Sandig - \textit{J. Math. Anal. Appl.} 2007] valid for straight fractures. |
| title | Energy-dissipation balance of a smooth moving crack |
| topic | Analysis of PDEs 35L05, 35Q74, 74H35, 74R10 |
| url | https://arxiv.org/abs/1905.02498 |