The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909207074177024 |
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| author | Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco |
| author_facet | Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco |
| contents | A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of analytic function, the problem is reduced to a system of singular integro-differential equation with fixed singularity. Using an integral transformation a Riemann problem is obtained, the solution of which is presented in explicit form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11543 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut Shavlakadze, Nugzar Odishelidze, Nana Criado-Aldeanueva, Francisco Mathematical Physics 74B05, 74K20, 74K15 A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of analytic function, the problem is reduced to a system of singular integro-differential equation with fixed singularity. Using an integral transformation a Riemann problem is obtained, the solution of which is presented in explicit form. |
| title | The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-electric plate with elastic inclusion and cut |
| topic | Mathematical Physics 74B05, 74K20, 74K15 |
| url | https://arxiv.org/abs/2405.11543 |