论文标题
建模平面基里加米材料作为广义弹性连续性
Modelling planar kirigami metamaterials as generalized elastic continua
论文作者
论文摘要
Kirigami超材料通过几乎刚性面板和柔性缝隙的协调运动极大地改变了形状。在这里，我们研究了一个基于机制的平面基里加米的模型系统，该模型具有四边形面板和菱形缝隙的定期模式，目的是预测其工程规模响应对广泛负载的响应。我们基于基里加米（Kirigami）的有效（细胞平均）非线性变形，以及其缝隙致动及其梯度开发了广义连续模型。该模型解释了三种弹性来源：对有效领域匹配局部机制的弹性偏爱，面板间应力是由缝隙驱动中的梯度引起的，而分布式的铰链弯曲。我们提供该模型的有限元元素公式，并使用商业软件Abaqus实施它。该模型的模拟与设计和加载条件之间的实验定量一致。
Kirigami metamaterials dramatically change their shape through a coordinated motion of nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based planar kirigami featuring periodic patterns of quadrilateral panels and rhombi slits, with the goal of predicting their engineering scale response to a broad range of loads. We develop a generalized continuum model based on the kirigami's effective (cell-averaged) nonlinear deformation, along with its slit actuation and gradients thereof. The model accounts for three sources of elasticity: a strong preference for the effective fields to match those of a local mechanism, inter-panel stresses arising from gradients in slit actuation, and distributed hinge bending. We provide a finite-element formulation of this model and implement it using the commercial software Abaqus. Simulations of the model agree quantitatively with experiments across designs and loading conditions.
