A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866918048345096192 |
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| author | Durante, Tiziana Faella, Luisa Hernández-Llanos, Pedro Prakash, Ravi |
| author_facet | Durante, Tiziana Faella, Luisa Hernández-Llanos, Pedro Prakash, Ravi |
| contents | We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two homogenization scales $\varepsilon$ and $\varepsilon^2$ of the material properties and the thickness $h$ of the shell. Depending on the asymptotic ratio of these three parameters, we obtain different asymptotic theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_09114 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity Durante, Tiziana Faella, Luisa Hernández-Llanos, Pedro Prakash, Ravi Analysis of PDEs 35B27, 74B20, 74K25, 74Q05, 74E30 We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two homogenization scales $\varepsilon$ and $\varepsilon^2$ of the material properties and the thickness $h$ of the shell. Depending on the asymptotic ratio of these three parameters, we obtain different asymptotic theories. |
| title | A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity |
| topic | Analysis of PDEs 35B27, 74B20, 74K25, 74Q05, 74E30 |
| url | https://arxiv.org/abs/1905.09114 |