formulation of models for extended crystal plasticity at large deformation

DOI10.1016/j.jmps.2010.06.005zbMath1431.74028OpenAlexW1994397944MaRDI QIDQ632769

Bob Svendsen, Swantje Bargmann

Publication date: 28 March 2011

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.2010.06.005

zbMATH Keywords

continuum thermodynamicsgeometrically necessary dislocationsgradient crystal plasticitysize-dependent behaviorrate variational formulation

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Thermodynamics in solid mechanics (74A15) Large-strain, rate-dependent theories of plasticity (74C20) Micromechanics of solids (74M25) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (20)

Unnamed Item ⋮ Inspection of free energy functions in gradient crystal plasticity ⋮ Variational Gradient Plasticity: Local-Global Updates, Regularization and Laminate Microstructures in Single Crystals ⋮ Microscopically derived free energy of dislocations ⋮ Modelling the torsion of thin metal wires by distortion gradient plasticity ⋮ Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures ⋮ Micromorphic approach for gradient-extended thermo-elastic-plastic solids in the logarithmic strain space ⋮ A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model ⋮ Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics ⋮ The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. II: Single-crystal plasticity ⋮ The energy criterion for deformation banding in ductile single crystals ⋮ Incremental work minimization algorithm for rate-independent plasticity of single crystals ⋮ Crystal plasticity algorithm based on the quasi‐extremal energy principle ⋮ An extended crystal plasticity model for latent hardening in polycrystals ⋮ A comparison of the primal and semi-dual variational formats of gradient-extended crystal inelasticity ⋮ Toward robust scalar-based gradient plasticity modeling and simulation at finite deformations ⋮ A grain boundary model considering the grain misorientation within a geometrically nonlinear gradient-extended crystal viscoplasticity theory ⋮ Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals ⋮ A phase field model for damage in elasto-viscoplastic materials ⋮ Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity

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