Derivation of Linear Elasticity for a General Class of Atomistic Energies

DOI10.1137/21M1397179zbMath1482.74011MaRDI QIDQ3383041

Roberto Alicandro, Mariapia Palombaro, Giuliano Lazzaroni

Publication date: 23 September 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

nonlinear elasticitylinearized elasticitygamma-convergenceBravais latticeenergy optimizationgeometric rigiditymultiwell potential

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Equations linearized about a deformed state (small deformations superposed on large) (74B15) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (3)

From atomistic systems to linearized continuum models for elastic materials with voids ⋮ A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models ⋮ Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice

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