A micro-mechanical damage model based on gradient plasticity: algorithms and applications

DOI10.1002/NME.431zbMath1098.74669OpenAlexW2135797566MaRDI QIDQ4785130

Jian Chen, Huang Yuan

Publication date: 17 December 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.431

zbMATH Keywords

finite element methodductile materialsgradient plasticity\(C^1\) continuitynon-local damage modelmaterial internal lengthmicro-mechanical damage modelplastic strain gradient

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (3)

Computational assessment of cracks under strain-gradient plasticity ⋮ Modeling the response of tensile steel bars by means of incremental energy minimization ⋮ A nonlocal treatment technique based on the background cell concept for micro-mechanical damage modeling

Uses Software

• ABAQUS

Cites Work

• Effects of nonlocal damage in porous plastic solids
• A finite element formulation for elastoplasticity based on a three-field variational equation
• A variational principle for gradient plasticity
• Finite-element formulations for problems of large elastic-plastic deformation
• Complementary mixed finite element formulations for elastoplasticity
• A thermodynamics-based formulation of gradient-dependent plasticity
• Post-necking behaviour modelled by a gradient dependent plasticity theory
• A phenomenological theory for strain gradient effects in plasticity
• Ductile crack growth -- I. A numerical study using computational cells with microstructurally-based length scales
• An algorithm for gradient-regularized plasticity coupled to damage based on a dual mixed FE-formulation
• The physics of plastic deformation
• Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials
• A nonlocal two-dimensional analysis of instabilities in tubes under internal pressure
• Plasticity at the micron scale
• Gradient-dependent plasticity: Formulation and algorithmic aspects
• Bifurcation Effects in Ductile Metals With Nonlocal Damage
• Isoparametric Hermite elements
• On the numerical integration of a class of pressure‐dependent plasticity models
• Identification of the intrinsic material length in gradient plasticity theory from micro-indentation tests

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