A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects.

DOI10.1016/S0045-7825(02)00649-7zbMath1050.74005MaRDI QIDQ1415778

D. Massart

Publication date: 9 December 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Internal dissipationLogarithmic strainMaterial law

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Theories of fracture and damage (74A45)

Related Items

Mesoscale constitutive modeling of non-crystallizing filled elastomers ⋮ Modeling of finite strain viscoplasticity based on the logarithmic corotational description ⋮ Gradient-extended damage modelling for polymeric materials at finite strains: rate-dependent damage evolution combined with viscoelasticity ⋮ Cyclic viscoplasticity of thermoplastic elastomers ⋮ Elastoplasticity beyond small deformations ⋮ Inelastic analysis of granular interfaces via computational contact homogenization ⋮ Unified constitutive modeling of rubber-like materials under diverse loading conditions

Uses Software

• ABAQUS
• UMAT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• On the mathematical modelling of material behavior in continuum mechanics
• Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
• A mirco-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins' effect
• On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
• Operator split methods for the numerical solution of the elastoplastic dynamic problem
• Mullins' effect and the strain amplitude dependence of the storage modulus
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• Convexity conditions and existence theorems in nonlinear elasticity
• A theory of finite viscoelasticity and numerical aspects
• A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric
• On objective corotational rates and their defining spin tensors
• Strain rates and material spins
• A physically based method to represent the thermo-mechanical behaviour of elastomers
• Logarithmic strain, logarithmic spin and logarithmic rate
• A material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental results
• A novel internal dissipation inequality by isotropy and its implication for inelastic constitutive characterization.
• Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
• A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric
• Constitutive modeling of the large strain time-dependent behavior of elastomers.
• An introduction to continuum mechanics
• The mechanics of rubber elasticity
• On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations
• Aspects of the formulation and finite element implementation of large strain isotropic elasticity
• A Course on Damage Mechanics
• Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• Viscoplasticity of elastomeric materials: Experimental facts and constitutive modelling