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Effect of architecture disorder on the elastic response of two-dimensional lattice materials

Antoine Montiel 1, 2 Thuy Nguyen 1, 3, 2 Cindy L Rountree 1, 2 Valérie Geertsen 4 Patrick Guenoun 4 Daniel Bonamy 1, 2 
2 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
4 LIONS - Laboratoire Interdisciplinaire sur l'Organisation Nanométrique et Supramoléculaire
NIMBE UMR 3685 - Nanosciences et Innovation pour les Matériaux, la Biomédecine et l'Energie (ex SIS2M)
Abstract : We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative of mechanically isotropic materials low connectivity, mechanically isotropic materials with high connectivity, and mechanically anisotropic materials with intermediate connectivity. Introducing disorder generates spatial fluctuations in the elasticity tensor at the local (joint) scale. Proper coarse-graining reveals a well-defined continuum-level scale elasticity tensor. Increasing disorder aids in making initially anisotropic materials more isotropic. The disorder impact on the material stiffness depends on the lattice connectivity: Increasing the disorder softens lattices with high connectivity and stiffens those with low connectivity, without modifying the scaling between elastic modulus and density (linear scaling for high connectivity and cubic scaling for low connectivity). Introducing disorder in lattices with intermediate fixed connectivity reveals both scaling: the linear scaling occurs for low density, the cubic one at high density, and the crossover density increases with disorder. Contrary to classical formulations, this work demonstrates that connectivity is not the sole parameter governing elastic modulus scaling. It offers a promising route to access novel mechanical properties in lattice materials via disordering the architectures.
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Submitted on : Monday, June 20, 2022 - 7:07:42 AM
Last modification on : Monday, August 22, 2022 - 2:11:42 PM
Long-term archiving on: : Thursday, September 22, 2022 - 11:12:12 AM

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  • HAL Id : cea-03699058, version 1

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Antoine Montiel, Thuy Nguyen, Cindy L Rountree, Valérie Geertsen, Patrick Guenoun, et al.. Effect of architecture disorder on the elastic response of two-dimensional lattice materials. Physical Review E , American Physical Society (APS), In press. ⟨cea-03699058⟩

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