Modelling planar kirigami metamaterials as generalized elastic continua
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 eng...
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| creator | Zheng, Yue Imtiar Niloy Tobasco, Ian Celli, Paolo Plucinsky, Paul |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2206.00153 |
| format | Article |
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| subjects | Actuation Continuum modeling Deformation effects Finite element method Mathematical models Metamaterials Panels Physics - Soft Condensed Matter Quadrilaterals Slits |
| title | Modelling planar kirigami metamaterials as generalized elastic continua |
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