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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.11384 |
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| _version_ | 1866914259375489024 |
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| author | Hernández-Llanos, Pedro Mahadevan, Rajesh Prakash, Ravi |
| author_facet | Hernández-Llanos, Pedro Mahadevan, Rajesh Prakash, Ravi |
| contents | In this paper we derive, by two$-$scale convergence, periodically wrinked shell models starting from three dimensional linear elasticity, depending of the behaviour of the small parameter $\varepsilon>0$ and $p>1$, differents theories appear. We assume that the mid-surface of the shell is given by $\displaystyle ψ(x_1,x_2)+\varepsilon^pθ\left(\frac{x_1}{\varepsilon},\frac{x_2}{\varepsilon}\right)\vect{a}_{3}(x_1,x_2)$, where $θ$ is $[0,1)^2$-periodic function and $p=2$. We also assume that the strain energy of the shell has the Koiter's model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11384 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homogenized moderately wrinkled shell theory from 3D Koiter's linear elasticity Hernández-Llanos, Pedro Mahadevan, Rajesh Prakash, Ravi Analysis of PDEs 74K20, 74B20 In this paper we derive, by two$-$scale convergence, periodically wrinked shell models starting from three dimensional linear elasticity, depending of the behaviour of the small parameter $\varepsilon>0$ and $p>1$, differents theories appear. We assume that the mid-surface of the shell is given by $\displaystyle ψ(x_1,x_2)+\varepsilon^pθ\left(\frac{x_1}{\varepsilon},\frac{x_2}{\varepsilon}\right)\vect{a}_{3}(x_1,x_2)$, where $θ$ is $[0,1)^2$-periodic function and $p=2$. We also assume that the strain energy of the shell has the Koiter's model. |
| title | Homogenized moderately wrinkled shell theory from 3D Koiter's linear elasticity |
| topic | Analysis of PDEs 74K20, 74B20 |
| url | https://arxiv.org/abs/2601.11384 |