Measure structured deformations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916134232522752 |
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| author | Krömer, stefan Kružík, Martin Morandotti, Marco Zappale, Elvira |
| author_facet | Krömer, stefan Kružík, Martin Morandotti, Marco Zappale, Elvira |
| contents | Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via relaxation departing either from energies associated with classical deformations or from energies associated with structured deformations. A concise integral representation of the energy functional is provided both in the unconstrained case and under Dirichlet conditions on a part of the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14790 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measure structured deformations Krömer, stefan Kružík, Martin Morandotti, Marco Zappale, Elvira Analysis of PDEs Optimization and Control 49Q20, 49J45, 74B20, 28A33 Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via relaxation departing either from energies associated with classical deformations or from energies associated with structured deformations. A concise integral representation of the energy functional is provided both in the unconstrained case and under Dirichlet conditions on a part of the boundary. |
| title | Measure structured deformations |
| topic | Analysis of PDEs Optimization and Control 49Q20, 49J45, 74B20, 28A33 |
| url | https://arxiv.org/abs/2402.14790 |