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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2003
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0309024 |
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| _version_ | 1866918162891538432 |
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| author | Gaudiello, Antonio Monneau, Regis Mossino, Jacqueline Murat, Francois Sili, Ali |
| author_facet | Gaudiello, Antonio Monneau, Regis Mossino, Jacqueline Murat, Francois Sili, Ali |
| contents | We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and small thickness "h", and of a vertical beam with fixed height and small cross section of radius "r". The lateral boundary of the plate and the top of the beam are assumed to be clamped. When "h" and "r" tend to zero simultaneously, with "r" much greater than the square of "h", we identify the limit problem. This limit problem involves six junction conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0309024 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Junction of elastic plates and beams (Preliminary version) Gaudiello, Antonio Monneau, Regis Mossino, Jacqueline Murat, Francois Sili, Ali Analysis of PDEs Numerical Analysis 35 B 40, 74 B 05, 74 K 30 We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and small thickness "h", and of a vertical beam with fixed height and small cross section of radius "r". The lateral boundary of the plate and the top of the beam are assumed to be clamped. When "h" and "r" tend to zero simultaneously, with "r" much greater than the square of "h", we identify the limit problem. This limit problem involves six junction conditions. |
| title | Junction of elastic plates and beams (Preliminary version) |
| topic | Analysis of PDEs Numerical Analysis 35 B 40, 74 B 05, 74 K 30 |
| url | https://arxiv.org/abs/math/0309024 |