Structured Deformations in Linearized Elasticity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918292610875392 |
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| author | Friedrich, Manuel Matias, José Zappale, Elvira |
| author_facet | Friedrich, Manuel Matias, José Zappale, Elvira |
| contents | We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a direct approach by means of a global method for relaxation in BD and via an approximation from nonlinear elastic energies associated to {nonsimple} materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11333 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structured Deformations in Linearized Elasticity Friedrich, Manuel Matias, José Zappale, Elvira Analysis of PDEs Functional Analysis Optimization and Control 49J45, 46E30, 74A60, 74M99, 74B20 We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a direct approach by means of a global method for relaxation in BD and via an approximation from nonlinear elastic energies associated to {nonsimple} materials. |
| title | Structured Deformations in Linearized Elasticity |
| topic | Analysis of PDEs Functional Analysis Optimization and Control 49J45, 46E30, 74A60, 74M99, 74B20 |
| url | https://arxiv.org/abs/2601.11333 |