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 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：剪纸结构属于更广泛的力学超材料范畴，具有奇异的物理特性。本文聚焦于菱形切口式剪纸这一特定类型。先前已有研究提出一种非线性运动学模型，其形式为具有可能退化且变号系数矩阵的二阶散度型偏微分方程。我们首先利用极限吸收原理研究该方程解的存在性，随后提出一种基于复耗散项添加的数值方法以逼近方程的解，最后将数值模拟结果与实验进行了对比验证。