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Dynamic control of rigidity via geometric frustration: unifying central force network theory and responsive hyperelasticity for mechanical metamaterials
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DOI：10.1016/j.jmps.2026.106661.png)
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Abstract
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• A strategy is suggested to dynamically change the rigidity of a 3D-printed mechanical metamaterial made from one material. • This can be achieved by making use of geometric incompatibility, as opposed to phase transitions or jamming used before for multiphase metamaterials. • Our suggestion is based on a theory that connects two formerly separated concepts, namely second order rigidity in central force networks and non-linear morphoelasticity. • The predicted rigidity transition could be controlled by temperature changes in nematic elastomers or by swelling a hydrogel. • The proposed structure would be able to increase its shear modulus by two orders of magnitude. • Finite element computer simulations are used to verify the theory. • We also show that this kind of single-phase metamaterial can be approximated by point particles in a diamond lattice with a coarse-grained pairwise interaction energy.
Keywords:
rigidity transition
mechanical metamaterial
geometric frustration
second order rigidity
morphoelasticity
band structure
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