Equilibrium configurations of defective crystals

DOI10.1007/BF00375027zbMath0785.73007OpenAlexW1980118021MaRDI QIDQ1196253

Irene Fonseca, Parry, Gareth P.

Publication date: 14 December 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375027

zbMATH Keywords

existenceCauchy stressvariational formulationminimizing sequenceselastic energy functionaldensity variationsregular minimizersaverage lattice vectorsdefect-preserving deformations

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Micromechanics of solids (74M25) Optimization of other properties in solid mechanics (74P10) Micromechanical theories (74A60)

Related Items

Equilibria of Charged Hyperelastic Solids ⋮ Maximal parabolic regularity for divergence operators including mixed boundary conditions ⋮ Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure ⋮ Hölder-estimates for non-autonomous parabolic problems with rough data ⋮ The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces ⋮ Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation ⋮ Discrete structures in continuum descriptions of defective crystals ⋮ Existence for dislocation-free finite plasticity ⋮ A minimization problem involving variation of the domain ⋮ Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions ⋮ A Kinematics of Defects in Solid Crystals ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ On Kac's chaos and related problems ⋮ Energy minimisers with prescribed Jacobian ⋮ Group Properties of Defective Crystal Structures ⋮ Multi-phase equilibrium of crystalline solids ⋮ Quasistatic evolution for dislocation-free finite plasticity ⋮ Structured deformations of continua

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