Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials.

DOI10.1016/S0022-5096(03)00036-XzbMath1077.74522MaRDI QIDQ1421344

Krishna Garikipati

Publication date: 26 January 2004

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

Constitutive behaviorDislocationsFinite strainInteratomic potentialCouple stress

Mathematics Subject Classification ID

Crystalline structure (74E15) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (5)

Dislocation-based micropolar single crystal plasticity: comparison of multi- and single criterion theories ⋮ Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains ⋮ A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations ⋮ On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature ⋮ Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity

Uses Software

• Mathematica

Cites Work

• Elastic materials with couple-stresses
• On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
• Lattice incompatibility and a gradient theory of crystal plasticity
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
• Mechanism-based strain gradient plasticity. I: Theory
• Theories of elasticity with couple-stress
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• A reformulation of strain gradient plasticity.
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