Regularization of localization due to material softening using a nonlocal hardening variable in an Eulerian formulation of inelasticity

DOI10.1016/j.ijengsci.2022.103684OpenAlexW4229443830MaRDI QIDQ2145220

M. B. Rubin, Martin Kroon

Publication date: 17 June 2022

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2022.103684

zbMATH Keywords

localizationfinite deformationelastic-plasticnumerical algorithmmesh-sensitivity

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration
• Comparison of integral-type nonlocal plasticity models for strain-softening materials
• Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity
• Material rate dependence and mesh-sensitivity in localization problems
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects
• The significance of formulating plasticity theory with reference to loading surfaces in strain space
• Plasticity theory formulated in terms of physically based microstructural variables. I: Theory
• Ductile crack growth -- I. A numerical study using computational cells with microstructurally-based length scales
• A computational approach to ductile crack growth under large scale yielding conditions
• Strongly objective numerical implementation and generalization of a unified large inelastic deformation model with a smooth elastic-inelastic transition
• Removal of unphysical arbitrariness in constitutive equations for elastically anisotropic nonlinear elastic-viscoplastic solids
• On coupled gradient-dependent plasticity and damage theories with a view to localization analysis
• Erratum to: ``Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration
• BEM applied to damage models emphasizing localization and associated regularization techniques
• Nonlocal Continuum Field Theories
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• A damage initiation criterion for a class of viscoelastic solids
• CALCULATION OF HYPERELASTIC RESPONSE OF FINITELY DEFORMED ELASTIC-VISCOPLASTIC MATERIALS
• Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
• A non-local model with tension and compression damage mechanisms