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Computation of the deformation of rhombi-slit kirigami
Frédéric Marazzato1
1Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV 89154-4020, USA
The SMAI Journal of computational mathematics, Volume 11 (2025), pp. 677-692

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 to approximate the solutions to the regularized equation. Finally, simulations are compared with experimental results.

Published online:
DOI: 10.5802/smai-jcm.139
Classification: 35M12, 65N12, 65N30, 35Q74
Keywords: Kirigami, Degenerate PDE, Sign-changing PDE, Limiting absorption principle.

Frédéric Marazzato  1

1 Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV 89154-4020, USA 
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Frédéric Marazzato. Computation of the deformation of rhombi-slit kirigami. The SMAI Journal of computational mathematics, Volume 11 (2025), pp. 677-692. doi: 10.5802/smai-jcm.139

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