Discontinuous finite element approximation of quasistatic crack growth in finite elasticity
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arXiv
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| Format: | Preprint |
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2004
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| _version_ | 1866912655611002880 |
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| author | Giacomini, Alessandro Ponsiglione, Marcello |
| author_facet | Giacomini, Alessandro Ponsiglione, Marcello |
| contents | We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed in [13] by G. Dal Maso, G.A. Francfort, and R. Toader, which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is strictly convex, we prove also a convergence result for the deformations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_math_0401383 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Discontinuous finite element approximation of quasistatic crack growth in finite elasticity Giacomini, Alessandro Ponsiglione, Marcello Analysis of PDEs Numerical Analysis 35R35, 35J25, 74R10, 35A35, 65L60 We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed in [13] by G. Dal Maso, G.A. Francfort, and R. Toader, which takes into account body forces and surface loads. We employ adaptive triangulations and prove convergence results for the total, elastic and surface energies. In the case in which the elastic energy is strictly convex, we prove also a convergence result for the deformations. |
| title | Discontinuous finite element approximation of quasistatic crack growth in finite elasticity |
| topic | Analysis of PDEs Numerical Analysis 35R35, 35J25, 74R10, 35A35, 65L60 |
| url | https://arxiv.org/abs/math/0401383 |