Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening

DOI10.1016/j.jmps.2014.01.002zbMath1328.74021OpenAlexW2021988832MaRDI QIDQ904742

Reddy, B. Daya, Morton E. Gurtin

Publication date: 14 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmps.2014.01.002

zbMATH Keywords

variational problemgradient theorysingle-crystal plasticitylatent-hardeningMises-Hill

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Crystalline structure (74E15)

Related Items

Modelling the torsion of thin metal wires by distortion gradient plasticity, Single crystal plasticity with bend-twist modes, Obituary: Morton Edward Gurtin (1934--2022), A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model, A novel continuum approach to gradient plasticity based on the complementing concepts of dislocation and disequilibrium densities, Coupling effect of strain gradient strengthening and thermal softening on the microscale plastic behavior of metallic materials, Toward selecting optimal predictive multiscale models, A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor

Cites Work

• A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems
• The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity
• A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations
• On the formulations of higher-order strain gradient crystal plasticity models
• Study of size effects in thin films by means of a crystal plasticity theory based on DiFT
• Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities
• Gradient single-crystal plasticity with free energy dependent on dislocation densities
• Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations
• On the kinematic minimum principle for the rate problem in classical plasticity
• Computational inelasticity
• On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
• A computational procedure for rate-independent crystal plasticity.
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• Plasticity. Mathematical theory and numerical analysis.
• A unified treatment of strain gradient plasticity
• Finite element analysis and algorithms for single-crystal strain-gradient plasticity
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations