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arXiv · 2307.01588

Computation of the deformation of rhombi-slit kirigami

Frederic Marazzato
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Abstract

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.

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Frederic Marazzato. 2023-07-04. Computation of the deformation of rhombi-slit kirigami. https://arxiv.org/abs/2307.01588

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