Mathematical homogenization of inelastic dissipative materials: a survey and recent progress
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Publication:1655414
DOI10.1007/s00161-017-0587-5zbMath1392.74078OpenAlexW2735962739MaRDI QIDQ1655414
Fodil Meraghni, Yves Chemisky, George Chatzigeorgiou, Nicolas Ch. Charalambakis
Publication date: 9 August 2018
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10985/17521
Composite and mixture properties (74E30) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
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Cites Work
- Three-dimensional modeling and numerical analysis of rate-dependent irrecoverable deformation in shape memory alloys
- Multi-scale analysis in elasto-viscoplasticity coupled with damage
- A variational formulation for the incremental homogenization of elasto-plastic composites
- Homogenization for dislocation based gradient visco-plasticity
- Effect of thermal softening in shearing of strain-rate dependent materials
- The role of a vanishing interfacial layer in perfect elasto-plasticity
- On the problem of uniqueness in the theory ot a rigid-plastic sond.I, II
- Dual spaces of stresses and strains, with applications to Hencky plasticity
- The effective mechanical properties of nonlinear isotropic composites
- Thermodynamics of rate-independent plasticity
- A case study for uniqueness of elasto-plastic evolutions: the bi-axial test
- Approximation by finite elements, existence and uniqueness for a model of stratified thermoviscoplastic materials
- Homogenization of elastic-viscoplastic heterogeneous materials: Self-consistent and Mori-Tanaka schemes
- Homogenization of the nonlinear Kelvin-Voigt model of viscoelasticity and of the Prager model of plasticity
- On the effective behavior of nonlinear inelastic composites. I: Incremental variational principles
- On the effective behavior of nonlinear inelastic composite. II: A second-order procedure
- The general theory of homogenization. A personalized introduction
- Homogenization and optimal bounds in linear elasticity
- Homogenization and mechanical dissipation in thermoviscoelasticity
- Variational bounds on the effective moduli of anisotropic composites
- Acceleration waves in solids
- Solutions for effective shear properties in three phase sphere and cylinder models
- Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
- Functions of bounded deformation
- Sur certaines définitions liees à l'energie en mécanique des solides
- Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
- Elastoplastic behavior of metal matrix composites based on incremental plasticity and the Mori-Tanaka averaging scheme
- A comparison of homogenization and standard mechanics analyses for periodic porous composites
- New variational principles in plasticity and their application to composite materials
- Existence theorems for plasticity problems
- On finite element methods for plasticity problems
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- On plasticity with hardening
- Computational inelasticity
- An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
- Implementation of the transformation field analysis for inelastic composite materials
- Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
- Periodic homogenization in thermoviscoelasticity: Case of multilayered media with ageing
- Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and numerical algorithms
- Nonuniform transformation field analysis
- Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
- Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
- Existence results for energetic models for rate-independent systems
- On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites
- Dynamical evolution of elasto-perfectly plastic bodies
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- Higher-order theory for periodic multiphase materials with inelastic phases.
- Effective properties of composite materials with periodic microstructure: A computational approach
- Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields
- Fully implicit formulation of elastoplastic homogenization problem for two-scale analysis
- Memory effects and homogenization
- Effective behavior of linear viscoelastic composites: A time-integration approach
- On periodic homogenization in perfect elasto-plasticity
- Quasistatic evolution in perfect plasticity for general heterogeneous materials
- Determination of effective thermomechanical parameters of a mixture of two elastothermoviscoplastic constituents
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- On bounds for the overall elastic moduli of inhomogeneous systems. I
- On the overall elastic moduli of composite materials
- Constitutive analysis of elastic-plastic crystals at arbitrary strain
- Micromechanics-based thermoviscoelastic constitutive equations for rubber-like matrix composites at finite strains
- Some mathematical problems in perfect plasticity
- Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis
- Elastic properties of reinforced solids: Some theoretical principles
- Unified magnetomechanical homogenization framework with application to magnetorheological elastomers
- Small-strain heterogeneous elastoplasticity revisited
- STABILITY BY HOMOGENIZATION OF THERMOVISCOPLASTIC PROBLEMS
- Shape Memory Alloys
- On macroscopic effects of heterogeneity in elastoplastic media at finite strain
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Analysis of Composite Materials—A Survey
- Two stable-by-homogenization models in simple shearing of rate-dependent non-homogeneous materials
- Homogenization of the nonlinear Maxwell model of viscoelasticity and of the Prandtl—Reuss model of elastoplasticity
- Elements of Continuum Mechanics and Thermodynamics
- Effective Dielectric Constant of a Nonlinear Composite Material
- Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
- An analysis of a new class of integration algorithms for elastoplastic constitutive relations
- A return mapping algorithm for plane stress elastoplasticity
- Variational Principles for Inhomogeneous Non-linear Media
- Exact estimates of the conductivity of a binary mixture of isotropic materials
- Bounds and Self-Consistent Estimates for the Overall Properties of Nonlinear Composites
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- Evolution problems for a class of dissipative materials
- Transformation field analysis of inelastic composite materials
- Homogenization and Two-Scale Convergence
- A New Variational Principle and Its Application to Nonlinear Heterogeneous Systems
- A Mixed Finite Element Method for Plasticity Problems with Hardening
- Un espace fonctionnel pour les équations de la plasticité
- Weak solutions to the initial-boundary value problem for the shearing of non-homogeneous thermoviscoplastic materials
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Variational second-order estimates for nonlinear composites
- Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
- Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions
- Non–convex potentials and microstructures in finite–strain plasticity
- Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains
- Bounds and estimates for the properties of nonlinear heterogeneous systems
- On characterizing the set of possible effective tensors of composites: The variational method and the translation method
- On the continuity of the trace of vector functions with bounded deformation
- Approximation De Fonctions Convexes Sur Un Espace De Mesures Et Applications
- Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
- Multiscale convergence and reiterated homogenisation
- On convergence properties of variational constitutive updates for elasto-visco-plasticity
- Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms
- Homogenization of stratified thermoviscoplastic materials
- Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation
- A Multiscale Finite Element Method for Numerical Homogenization
- Complementary minimum principles for an elastic-plastic material
- A VARIATIONAL PRINCIPLE OF MAXIMUM PLASTIC WORK IN CLASSICAL PLASTICITY
- Towards a micromechanics-based inelastic and damage modeling of composites
- A class of general algorithms for multi-scale analyses of heterogeneous media
- Shape optimization by the homogenization method
- The taming of plastic slips in von Mises elasto-plasticity
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