Incompatibility, defects and stress functions in the mechanics of generalized continua

DOI10.1016/0020-7683(85)90077-0zbMath0591.73133OpenAlexW2143052360MaRDI QIDQ1075129

B. George

Publication date: 1985

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(85)90077-0

zbMATH Keywords

torsionsymmetricantisymmetricline defectsconcept of stress spacecontinuized Bravais crystalcrystallographic defectsdifferential geometry of defectsdouble-force stressesincompatible elastic straininterface defectsinternal stress statenonconnective objectsnonmetric objectsPoint defectsstress function tensor

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Micromechanics of solids (74M25) Statistical mechanics of crystals (82D25) Micromechanical theories (74A60) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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Construction of Nonsingular Stress Fields for Non-Euclidean Model in Planar Deformations ⋮ Feynman's proof and non-elastic displacement fields: relationship between magnetic field and defects field ⋮ Non-Euclidean model for description of residual stresses in planar deformations ⋮ Locally equilibrium diffusion processes. II: Generalized stochastic mechanics and plastic yielding ⋮ On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature

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