Modelling planar kirigami metamaterials as generalized elastic continua
Modelling planar kirigami metamaterials as generalized elastic continua
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DOI：
10.1098/rspa.2022.0665
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发表时间：
2022-05
期刊：
影响因子：
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通讯作者：
Yue Zheng;Ian Tobasco;P. Celli;Paul Plucinsky
中科院分区：
文献类型：
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作者：
Yue Zheng;Ian Tobasco;P. Celli;Paul Plucinsky
Kirigami超材料通过近乎刚性的面板和柔性狭缝的协调运动来戏剧性地改变它们的形状。在这里，我们研究了一个模型系统的机制为基础的平面kirigami具有周期性图案的四边形面板和菱形狭缝，预测其工程规模的响应范围广泛的负载的目标。我们开发了一个广义连续模型的基础上kirigami的有效（细胞平均）的非线性变形，沿着其狭缝驱动和梯度。该模型占三个来源的弹性：一个强烈的偏好的有效领域，以匹配那些当地的机制，板间应力所产生的梯度在狭缝驱动，和分布式铰链弯曲。我们提供了这个模型的有限元公式，并使用商业软件Abaqus实现它。该模型的模拟同意定量跨设计和加载条件下的实验。
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.