The adhesive contact problem for a piecewise-homogeneous orthotropic plate with an elastic patch
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917677566525440 |
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| author | Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco |
| author_facet | Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco |
| contents | A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite patch of the wedgeshaped, which meets the interface at a right angle and is loaded with tangential and normal forces is considered. By using methods of the theory of analytic functions, the problem is reduced to the system of singular integro-differential equations (SIDE) with fixed singularity. Under tension-compression of patch by using an integral transformation a Riemann problem is obtained, the solution of which is presented in explicit form. The tangential contact stresses along the contact line are determined and their asymptotic behavior in the neighborhood of singular points is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The adhesive contact problem for a piecewise-homogeneous orthotropic plate with an elastic patch Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco Mathematical Physics 74B05, 74K20, 74K15 A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite patch of the wedgeshaped, which meets the interface at a right angle and is loaded with tangential and normal forces is considered. By using methods of the theory of analytic functions, the problem is reduced to the system of singular integro-differential equations (SIDE) with fixed singularity. Under tension-compression of patch by using an integral transformation a Riemann problem is obtained, the solution of which is presented in explicit form. The tangential contact stresses along the contact line are determined and their asymptotic behavior in the neighborhood of singular points is established. |
| title | The adhesive contact problem for a piecewise-homogeneous orthotropic plate with an elastic patch |
| topic | Mathematical Physics 74B05, 74K20, 74K15 |
| url | https://arxiv.org/abs/2405.18411 |