A strain gradient crystal plasticity analysis of grain size effects in polycrystals

DOI10.1016/j.euromechsol.2006.09.006zbMath1107.74009OpenAlexW2063250951MaRDI QIDQ870879

Ulrik Borg

Publication date: 15 March 2007

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2006.09.006

zbMATH Keywords

finite element methodenergy potential

Mathematics Subject Classification ID

Crystalline structure (74E15) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20)

Related Items (14)

Modeling of polycrystals using a gradient crystal plasticity theory that includes dissipative micro-stresses ⋮ Finite strain analysis of size effects in wedge indentation into a face-centered cubic (FCC) single crystal ⋮ A comparison of the primal and semi-dual variational formats of gradient-extended crystal inelasticity ⋮ Shakedown analysis for a class of strengthening materials within the framework of gradient plasticity ⋮ Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals ⋮ Misorientation and grain boundary orientation dependent grain boundary response in polycrystalline plasticity ⋮ Some theoretical and computational aspects of single‐crystal strain‐gradient plasticity ⋮ Strain gradient plasticity, strengthening effects and plastic limit analysis ⋮ On the formulations of higher-order strain gradient crystal plasticity models ⋮ A finite deformation theory of higher-order gradient crystal plasticity ⋮ Prediction of stored energy in polycrystalline materials during cyclic loading ⋮ Computational strain gradient crystal plasticity ⋮ Computational homogenization of mesoscale gradient viscoplasticity ⋮ Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity

Cites Work

• Grain-size effect in viscoplastic polycrystals at moderate strains
• A unified treatment of strain gradient plasticity
• Strain gradient crystal plasticity: Size-dependent deformation of bicrystals
• The role of interfaces in enhancing the yield strength of composites and polycrystals
• Mechanism-based strain gradient crystal plasticity. I: Theory
• Studies of scale dependent crystal viscoplasticity models
• Scale-dependent crystal plasticity framework with dislocation density and grain boundary effects
• Strain gradient crystal plasticity effects on flow localization
• A reformulation of strain gradient plasticity.
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations

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