Historical review of internal state variable theory for inelasticity
From MaRDI portal
Publication:655207
DOI10.1016/j.ijplas.2010.06.005zbMath1431.74031OpenAlexW2078119018MaRDI QIDQ655207
Mark F. Horstemeyer, Douglas J. Bammann
Publication date: 3 January 2012
Published in: International Journal of Plasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijplas.2010.06.005
thermodynamicscontinuum damage mechanicsconstitutive modelcreep-plasticityinelastic internal state variable
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Cites Work
- The mechanics of non-linear materials with memory
- General constitutive equations of an ER suspension based on the internal variable theory
- On the mathematical structure of thermodynamics with internal variables
- A unified model for inelastic deformation of polycrystalline materials -- application to transient behavior in cyclic loading and relaxation.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thermomechanical modeling of polycrystalline smas under cyclic loading. I: Theoretical derivations
- Mullins effect and cyclic stress softening of filled elastomers by internal sliding and friction thermodynamics model
- On modeling the deformation and fracture response of glassy polymers due to shear-yielding and crazing
- On the kinematics of finite-deformation plasticity
- Associative versus non-associative porous viscoplasticity based on internal state variable concepts
- On modelling of creep and damage at steady state of internal variables change
- On the thermomechanics of continuous media with diffusion and/or weak nonlocality
- Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system
- A thermodynamic theory of damage in elastic inorganic and organic solids
- Constitutive equations for cyclic plasticity and cyclic viscoplasticity
- An internal variable constitutive model for hot working of metals
- Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals
- A general theory for nonlocal softening plasticity of integral-type
- Microstructure-sensitive modeling of polycrystalline IN 100
- A viscoplastic constitutive model for polymeric materials
- An internal state variable plasticity-based approach to determine dynamic loading history effects on material property in manufacturing processes
- Novel variational formulations for nonlocal plasticity
- Material forces for inelastic models at large strains: Application to fracture mechanics
- Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact
- Phenomenological model for the macroscopical material behavior of ferroelectric ceramics
- A thermo-mechanically coupled theory for large deformations of amorphous polymers. I: Formulation
- Lattice orientation effects on void growth and coalescence in fcc single crystals
- On a proposal for a continuum with microstructure
- On the use of internal variable constitutive equations in transient forming processes
- A model for finite-deformation plasticity
- A thermomechanical constitutive theory for elastic composites with distributed damage. I. Theoretical development. II. Application to matrix cracking in laminated composites
- On finite plastic flows of compressible materials with internal friction
- Constitutive relations describing creep deformation for multi-axial time- dependent stress states
- A plasticity model for flow of granular materials under triaxial stress states
- A viscoplastic theory with thermodynamic considerations
- An Eulerian elasto-viscoplastic formulation for steady-state forming processes
- A plasticity-damage theory for large deformation of solids. I: Theoretical formulation
- Thermomechanical equations of magnetic fluids
- On the interaction of rate and history dependence in structural metals
- A theory of finite elastoviscoplasticity of single crystals
- A finite theory of the elastoviscoplasticity of single crystals
- Internal-variable constitutive model for rate-independent plasticity with hardening saturation surface
- A thermodynamics-based formulation of gradient-dependent plasticity
- A viscoelastic constitutive model for particulate composites with growing damage
- A void-crack nucleation model for ductile metals
- Thermodynamics with internal variables. I: General concepts. II: Applications
- Thermodynamical model of anisotropic damage growth. I: Canonical dynamic state variables of continuum damage mechanics and thermodynamical functions of three-dimensional anisotropic damage state
- On the cold compaction of powders
- Polymorphic constitutive equations in finite element codes
- Micromechanical modelling of anisotropic nonlinear elasticity of granular medium
- A thermodynamic approach with internal variables using Lagrange formalism. I: General framework
- A theory of amorphous solids undergoing large deformations, with application to polymeric glasses.
- Measurement and modeling of back stress at intermediate to high homologous temperatures
- Discussion of coupled elastoplasticity and damage constitutive equations for small and finite deformations
- Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence
- Hierarchical internal variables reflecting microstructural properties: Application to cardiac muscle contraction
- Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy
- Entropy production in polarizable bodies with internal variables
- A simple theory of plasticity
- A viscoelastic constitutive model with nonlinear evolutionary internal variables
- Coupled hygro-thermo-viscoelastic fracture theory
- A continuum theory for dynamic recrystallization with microstructure-related length scales
- Reverse yield experiments and internal variable evolution in polycrystalline metals
- Modeling temperature and strain rate history effects in OFHC Cu
- Modeling mixed hardening of alkali halides with a modified version of an internal state variables model
- A dislocation theory of plasticity
- A general theory of an elastic-plastic continuum
- A thermodynamic based higher-order gradient theory for size-dependent plasticity
- A nonequilibrium irreversible thermodynamics model for material damping
- Framework using functional forms of hardening internal state variables in modeling elasto-plastic-damage behavior
- On modeling the micro-indentation response of an amorphous polymer
- Gradient constitutive relations: numerical aspects and application to gradient damage
- Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
- Généralisation de la théorie du potentiel plastique multiple en viscoplasticite
- Theory of creep with anisotropic hardening
- Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
- A strain gradient theory of plasticity
- On the thermodynamic foundations of non-linear solid mechanics
- Nonlocal and gradient rate plasticity
- Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling
- A cap model for partially saturated soils
- Continuum Thermodynamics
- Atomistic modelling of fatigue crack growth and dislocation structuring in FCC crystals
- Constitutive Equations for Damaging Materials
- A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part 1: Development of Appropriate Equations
- The Continuous Damage Theory of Brittle Materials, Part 1: General Theory
- A thermomechanical description of materials with internal variables in the process of phase transitions
- Cyclic Viscoplastic Constitutive Equations, Part I: A Thermodynamically Consistent Formulation
- Reciprocal Relations in Irreversible Processes. II.
- A continuum mechanics characterization of damage in composite materials
- Thermodynamics of Large Viscoelastic Deformations
- A bound on the number of representations of quadratic forms
- The Thermodynamics of Irreversible Processes. I. The Simple Fluid
- A theory of the yielding and plastic flow of anisotropic metals
- On the Equations of Motion of Crystal Dislocations
- The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
