Stable determination of the Winkler subgrade coefficient in a nanoplate
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929472834371584 |
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| author | Alessandrini, G. Morassi, A. Rosset, E. Sincich, E. Vessella, S. |
| author_facet | Alessandrini, G. Morassi, A. Rosset, E. Sincich, E. Vessella, S. |
| contents | We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials, under the Kirchhoff-Love kinematic assumptions in infinitesimal deformation. We prove a global Hölder stability estimate of the subgrade coefficient by performing a single interior measurement of the transverse deflection of the nanoplate induced by a load concentrated at one point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable determination of the Winkler subgrade coefficient in a nanoplate Alessandrini, G. Morassi, A. Rosset, E. Sincich, E. Vessella, S. Analysis of PDEs 35R30 (Primary), 35J25 - 86A22 (Secondary) We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials, under the Kirchhoff-Love kinematic assumptions in infinitesimal deformation. We prove a global Hölder stability estimate of the subgrade coefficient by performing a single interior measurement of the transverse deflection of the nanoplate induced by a load concentrated at one point. |
| title | Stable determination of the Winkler subgrade coefficient in a nanoplate |
| topic | Analysis of PDEs 35R30 (Primary), 35J25 - 86A22 (Secondary) |
| url | https://arxiv.org/abs/2408.13625 |