Computation of the deformation of rhombi-slit kirigami
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915613144776704 |
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| author | Marazzato, Frederic |
| author_facet | Marazzato, Frederic |
| contents | Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A nonlinear kinematic model was previously proposed as a second order divergence-form PDE with a possibly degenerate, and sign-changing coefficient matrix. We first propose to study the existence of solutions to a regularization of this equation by using the limiting absorption principle. Then, we propose a finite element method with complex polynomials to approximate the solutions to the nonlinear equation. Finally, simulations are compared with experimental results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01588 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computation of the deformation of rhombi-slit kirigami Marazzato, Frederic Numerical Analysis Analysis of PDEs Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A nonlinear kinematic model was previously proposed as a second order divergence-form PDE with a possibly degenerate, and sign-changing coefficient matrix. We first propose to study the existence of solutions to a regularization of this equation by using the limiting absorption principle. Then, we propose a finite element method with complex polynomials to approximate the solutions to the nonlinear equation. Finally, simulations are compared with experimental results. |
| title | Computation of the deformation of rhombi-slit kirigami |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2307.01588 |