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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
Published on: June 28, 2024
Elasticity of randomly diluted honeycomb and diamond lattices with bending forces
Danilo B Liarte1,2, O Stenull3, Xiaoming Mao4
1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY, USA.
Abstract:
We use numerical simulations and an effective-medium theory to study the rigidity percolation transition of the honeycomb and diamond lattices when weak bond-bending forces are included. We use a rotationally invariant bond-bending potential, which, in contrast to the Keating potential, does not involve any stretching. As a result, the bulk modulus does not depend on the bending stiffness κ. We obtain scaling functions for the behavior of some elastic moduli in the limits of small ΔP = 1-P, and small δP = P-Pc, where P is an occupation probability of each bond, and Pc is the critical probability at which rigidity percolation occurs. We find good quantitative agreement between effective-medium theory and simulations for both lattices for P close to one.
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