On transformation strains and uniform fields in multiphase elastic media

From MaRDI portal
Publication:4008569

DOI10.1098/rspa.1992.0062zbMath0748.73003OpenAlexW1995923471MaRDI QIDQ4008569

George J. Dvorak, Yakov Benveniste

Publication date: 27 September 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0062




Related Items (71)

On consistent micromechanical estimation of macroscopic elastic energy, coherence energy and phase transformation strains for SMA materialsMultiparticle Effective Field and Related Methods in Micromechanics of Random Structure ComponentsA MODEL FOR ANALYSIS OF ARBITRARY COMPOSITE AND POROUS MICROSTRUCTURES WITH VORONOI CELL FINITE ELEMENTSImplementation of the transformation field analysis for inelastic composite materialsAn FE-DMN method for the multiscale analysis of thermomechanical compositesMultiscale Modeling and Simulation of Composite Materials and StructuresMultiscale methods for composites: A reviewEigenstrain based reduced order homogenization for polycrystalline materialsMicromechanics investigation of expansive reactions in chemoelastic concreteEstimation of effective elastic moduli of random structure composites by the method of fundamental solutionsNTFA-enabled goal-oriented adaptive space-time finite elements for micro-heterogeneous elastoplasticity problemsGPU accelerated computational homogenization based on a variational approach in a reduced basis frameworkA non-uniform transformation field analysis for frictional cohesive geomaterialsViscous interfaces as source for material creep: a continuum micromechanics approachStress-induced crystal preferred orientation in the poromechanics of in-pore crystallizationMulti-dimensional wavelet reduction for the homogenisation of microstructuresEfficient two-scale simulations of engineering structures using the Hashin-Shtrikman type finite element methodReduced order variational multiscale enrichment method for elasto-viscoplastic problemsHybrid impotent-incompatible eigenstrain based homogenizationTopology optimization of multiscale elastoviscoplastic structuresThe finite element square reduced (FE2R ) method with GPU acceleration: towards three-dimensional two-scale simulationsOn the micromechanics of deep material networksFast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surfaceEnhanced transformation field analysis for reduced-order modeling of problems with cohesive interfacesThree-scale bridging for woven composites using homogenization techniquesFEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shapeInhomogeneity of the first and second statistical moments of stresses inside the heterogeneities of random structure matrix compositesMulti-scale analysis in elasto-viscoplasticity coupled with damageA variational formulation for the incremental homogenization of elasto-plastic compositesOn the thermo-elastostatics of heterogeneous materials. II: Analysis and generalization of some basic hypotheses and propositionsElastic and inelastic local strain fields in composites with coated fibers or particles: theory and validationA micromechanics based multiscale model for nonlinear compositesMultiple scale computational model for damage in composite materialsReduced basis hybrid computational homogenization based on a mixed incremental formulationA mixture-compatible theory of chemothermal deposition and expansion in n-constituent finitely deforming composite materials with initially circularly cylindrical microstructuresNew estimates of overall properties of heterogeneous solidsMulti-laminate plastic-strain organization for non-uniform TFA modeling of poly-crystal regularized plastic flowMicromechanical models for graded composite materials. II: Thermomechanical loadingSpurious softening in the macroscopic response predicted by the additive tangent Mori-Tanaka scheme for elastic-viscoplastic compositesEfficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA)An FE-DMN method for the multiscale analysis of short fiber reinforced plastic componentsOn the mathematical foundations of the self-consistent clustering analysis for non-linear materials at small strainsEffective stiffness of composites reinforced by cylindrical fibers with smooth ends, with potential application to nanocompositesFourier-accelerated nodal solvers (FANS) for homogenization problemsThe poroelastic role of water in cell walls of the hierarchical composite ``softwoodUniform antiplane shear stress inside an anisotropic elastic inclusion of arbitrary shape with perfect or imperfect interface bondingOn the macroscopic free energy functions for shape memory alloysA GFEM-based reduced-order homogenization model for heterogeneous materials under volumetric and interfacial damageTransformation field analysis of damage evolution in composite materials.Three-dimensional finite element implementation of the nonuniform transformation field analysisMultiscale poro-elasticity of densifying calcium-silicate hydrates in cement paste: an experimentally validated continuum micromechanics approachAn assessment of multiscale asymptotic expansion method for linear static problems of periodic composite structuresA poro-viscoelastic substitute model of fine-scale poroelasticity obtained from homogenization and numerical model reductionModel adaptivity on effective elastic properties coupled with adaptive FEMNumerical model reduction with error control in computational homogenization of transient heat flowSparse and scalable eigenstrain-based reduced order homogenization models for polycrystal plasticityModel order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element methodHeterogeneous crystal and poly-crystal plasticity modeling from a transformation field analysis within a regularized Schmid lawNon-Local Models of Stress Field Concentrations and Effective Thermoelastic Properties of Random Structure CompositesEigendeformation-based reduced order homogenization for failure analysis of heterogeneous materialsNumerical model reduction with error estimation for computational homogenization of non-linear consolidationPrinciple of cluster minimum complementary energy of FEM-cluster-based reduced order method: fast updating the interaction matrix and predicting effective nonlinear properties of heterogeneous materialThermoelastic stress fluctuations in random-structure coated particulate compositesMultiphase continuum models for fiber-reinforced materialsMicromechanics versus macromechanics: A combined approach for metal matrix composite constitutive modellingModified Eshelby tensor for an anisotropic matrix with interfacial damageThe Multiscale Analysis of Multiple Interacting Inclusions Problem: Finite Number of Interacting InclusionsModeling arbitrarily oriented and reorienting multiscale cracks in composite materials with adaptive multiscale discrete damage theoryMicromechanics and homogenization of inelastic composite materials with growing cracks.Computational analysis of nonlinear composite structures using the nonuniform transformation field analysisCombining spectral and POD modes to improve error estimation of numerical model reduction for porous media




This page was built for publication: On transformation strains and uniform fields in multiphase elastic media