On the compatibility conditions of finite deformations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908542468882432 |
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| author | Pere, Balázs |
| author_facet | Pere, Balázs |
| contents | This paper examines the intuitive meaning of the Saint--Venant compatibility equation known from the linear theory of deformations. The linearized theory is typically obtained from the relations of finite deformation theory by neglecting higher-order terms. We show how to formulate the compatibility conditions for finite deformations and how the well-known equation for small deformations follows from this formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the compatibility conditions of finite deformations Pere, Balázs Classical Physics Mathematical Physics 74B20 (Nonlinear elasticity) This paper examines the intuitive meaning of the Saint--Venant compatibility equation known from the linear theory of deformations. The linearized theory is typically obtained from the relations of finite deformation theory by neglecting higher-order terms. We show how to formulate the compatibility conditions for finite deformations and how the well-known equation for small deformations follows from this formulation. |
| title | On the compatibility conditions of finite deformations |
| topic | Classical Physics Mathematical Physics 74B20 (Nonlinear elasticity) |
| url | https://arxiv.org/abs/2509.10525 |