Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics

DOI10.1007/BF01175717zbMath0627.73047OpenAlexW4247576786MaRDI QIDQ1092714

Yannis F. Dafalias

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01175717

zbMATH Keywords

kinematicssubstructurelarge elastoplastic deformationsgeneral macroscopic constitutive theorysuperposed rigid body rotationstensorial structure variables

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (28)

On material symmetry and deformation-induced anisotropy ⋮ Computational aspects of large elastoplastic deformations in the presence of anisotropy and plastic spin ⋮ A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation ⋮ Large strain elasto-plastic model of paper and corrugated board ⋮ Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics ⋮ A linear complementarity formulation of rate-independent finite-strain elastoplasticity. Part I: Algorithm for numerical integration ⋮ Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Issues on the constitutive formulation at large elastoplastic deformations. II: Kinetics ⋮ Constitutive modeling of temperature and strain rate dependent elastoplastic hardening materials using a corotational rate associated with the plastic deformation ⋮ Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\) ⋮ Kinematic hardening in large strain plasticity ⋮ Two different approaches to model evolving directional properties at finite deformations ⋮ The effect of anisotropy and plastic spin on fold formations ⋮ On multiple spins and texture development. Case study: Kinematic and orthotropic hardening ⋮ Elastoplasticity beyond small deformations ⋮ Serial deformation maps and elasto-plastic continua ⋮ Simulation of strain-induced anisotropy for polymers with weighting functions ⋮ Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation ⋮ Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\) ⋮ Damage initiation and growth in metals. Comparison between modelling and tomography experiments ⋮ A mathematical theory of materials with elastic range and the definition of back stress tensor ⋮ On modelling the elasto-viscoplastic response of metals using polycrystal plasticity ⋮ A nonlocal strain gradient plasticity theory for finite deformations ⋮ Constitutive modeling of solid propellant materials with evolving microstructural damage ⋮ An Eulerian-based approach to elastic-plastic decomposition ⋮ Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip ⋮ Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations ⋮ Nonlinear Shell Theory in Convective Description

Cites Work

• Unnamed Item
• Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics
• Concerning elastic and plastic components of deformation
• Some comments on elastic-plastic analysis
• A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions II: Vector-valued isotropic functions, symmetric tensor-valued isotropic functions, and skew-symmetric tensor-valued isotropic functions
• Decomposition of strain measures and their rates in finite deformation elastoplasticity
• On finite deformation elasto-plasticity
• On a finite strain theory of elastic-inelastic materials
• Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
• Corotational Rates for Kinematic Hardening at Large Plastic Deformations
• The Plastic Spin
• Invariance Considerations in Large Strain Elasto-Plasticity
• A Remark on the Use of the Decomposition F = FeFp in Plasticity
• A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance
• Elastic-Plastic Deformation at Finite Strains

This page was built for publication: Issues on the constitutive formulation at large elastoplastic deformations. I: Kinematics