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 kinematics 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 and uniqueness of the solutions of this equation by using the limiting absorption principle. Then, we propose a numerical method based on adding a complex dissipation to approximate the solutions. Finally, comparisons of simulations with experiments are performed.

翻译：折纸切割属于更广泛的力学超材料范畴，此类材料具有奇异特性。本文聚焦于菱形切口型折纸这一特殊类型。此前已有研究提出一种非线性运动学模型，该模型以二阶散度型偏微分方程描述，其系数矩阵可能存在退化性及符号变化。我们首先利用极限吸收原理研究该方程解的存在唯一性，继而提出一种基于添加复耗散的数值方法以近似求解。最后，将模拟结果与实验数据进行对比验证。