A coupled theory of damage mechanics and finite strain elasto-plasticity. II: Damage and finite strain plasticity

DOI10.1016/0020-7225(90)90053-LzbMath0728.73039OpenAlexW2001526626MaRDI QIDQ805354

Peter I. Kattan, George Z. Voyiadjis

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0020-7225(90)90053-l

zbMATH Keywords

crack initiationcenter crackvon Mises yield criterionelastic energy equivalenceEulerian reference framefinite simple shearinplane tensionisotropic and kinematic hardeningmodified elasto-plastic stiffness tensorNumerical implementationthin elasto-plastic plateUpdated Lagrangian

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Fracture and damage (74R99) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

Related Items (16)

Mechanics of damage processes in series and in parallel: a conceptual framework ⋮ Techniques for stress- and strain-controlled homogenization of inelastic periodic composites ⋮ Nonlinear static analysis of composite laminated plates with evolving damage ⋮ On the decomposition of the damage variable in continuum damage mechanics ⋮ Local and interfacial damage analysis of metal matrix composites ⋮ On kinematic, thermodynamic, and kinetic coupling of a damage theory for polycrystalline material ⋮ Introducing damage mechanics templates for the systematic and consistent formulation of holistic material damage models ⋮ Stochastic meshfree method for elasto-plastic damage analysis ⋮ A plasticity-damage theory for large deformation of solids. I: Theoretical formulation ⋮ A PVC-foam material model based on a thermodynamically elasto-plastic-damage framework exhibiting failure and crushing ⋮ A plasticity-damage theory for large deformation of solids. II: Applications to finite simple shear ⋮ Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework ⋮ Continuum damage growth analysis using element free Galerkin method ⋮ An irreversible thermodynamics theory for elastic-plastic-damage materials ⋮ A coupled anisotropic damage model for the inelastic response of composite materials ⋮ A coupled theory of damage mechanics and finite strain elasto-plasticity. I: Damage and elastic deformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on rate constitutive equations for finite deformation problems: Computational implications
• On the analysis of rotation and stress rate in deforming bodies
• A discussion of stress rates in finite deformation problems
• On instabilities in large deformation simple shear loading
• A coupled theory of damage mechanics and finite strain elasto-plasticity. I: Damage and elastic deformations
• On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening
• Stress rate and the Lagrangian formulation of the finite-strain plasticity for a von Mises kinematic hardening model
• Some comments on elastic-plastic analysis
• Decomposition of strain measures and their rates in finite deformation elastoplasticity
• Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity
• Corotational Rates for Kinematic Hardening at Large Plastic Deformations
• A modification of Prager’s hardening rule
• Representation of Creep, Rate Sensitivity and Plasticity

This page was built for publication: A coupled theory of damage mechanics and finite strain elasto-plasticity. II: Damage and finite strain plasticity