Non-local elasto-viscoplastic models with dislocations in finite elasto-plasticity. Part I: Constitutive framework

DOI10.1177/1081286512439059OpenAlexW2127956830MaRDI QIDQ5137389

Sanda Cleja-Ţigoiu

Publication date: 2 December 2020

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

Full work available at URL: https://doi.org/10.1177/1081286512439059

zbMATH Keywords

dissipation inequalityconnection with non-zero torsionnon-local evolution lawsplastic and elastic distortionstensorial and scalar dislocations

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (4)

Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ Finite gradient elasticity and plasticity: a constitutive mechanical framework ⋮ Dislocations and disclinations: continuously distributed defects in elasto-plastic crystalline materials ⋮ Disclinations and GND tensor effects on the multislip flow rule in crystal plasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elasto-plastic materials with lattice defects modeled by second order deformations with non-zero curvature
• A model of elastoplastic bodies with continuously distributed dislocations
• Large elasto-plastic deformations of materials with relaxed configurations. I: Constitutive assumptions
• Anholonomic configuration spaces and metric tensors in finite elastoplasticity
• The differential geometry of elementary point and line defects in Bravais crystals
• Material forces in finite elasto-plasticity with continuously distributed dislocations
• A view of the relation between the continuum theory of lattice defects and non-Euclidean geometry in the linear approximation
• The internal mechanical state of solids with defects
• Views on multiplicative elastoplasticity and the continuum theory of dislocations
• Eshelby's stress tensors in finite elastoplasticity
• On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
• On the continuum formulation of higher-gradient plasticity for single and polycrystals
• Dislocation patterns and work-hardening in crystalline plasticity
• A unified treatment of strain gradient plasticity
• Couple stresses and non-Riemannian plastic connection in finite elasto-plasticity
• Orientational anisotropy and plastic spin in finite elasto-plasticity
• The decomposition \(\mathbf F = \mathbf F^{\text e}\mathbf F^{\text b}\), material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous
• Materially uniform simple bodies with inhomogeneities
• Modeling dislocations and disclinations with finite micropolar elastoplasticity
• A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
• Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector
• Observations concerning virtual power
• Mechanically equivalent elastic-plastic deformations and the problem of plastic spin
• The Geometrical Language of Continuum Mechanics
• Ricci-Calculus
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

This page was built for publication: Non-local elasto-viscoplastic models with dislocations in finite elasto-plasticity. Part I: Constitutive framework