Micro and Macroscopic Stress-Strain Relations in Disordered Tessellated Networks.
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ABSTRACT:
SUBMITTER: Li R
PROVIDER: S-EPMC10586522 | biostudies-literature | 2023 May
REPOSITORIES: biostudies-literature
Publications
Micro and Macroscopic Stress-Strain Relations in Disordered Tessellated Networks.
Li Ran R Moazzeni Seyedsajad S Liu Liping L Lin Hao H
Physical review letters 20230501 18
We demonstrate that for a rigid and incompressible network in mechanical equilibrium, the microscopic stress and strain follows a simple relation, σ=pE, where σ is the deviatoric stress, E is a mean-field strain tensor, and p is the hydrostatic pressure. This relationship arises as the natural consequence of energy minimization or equivalently, mechanical equilibration. The result suggests not only that the microscopic stress and strain are aligned in the principal directions, but also microscop ...[more]
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