The effect of spatial distribution on the effective behavior of composite materials and cracked media

From MaRDI portal
Publication:1358887

DOI10.1016/0022-5096(95)00058-QzbMath0919.73061MaRDI QIDQ1358887

Pedro Ponte Castañeda, John R. Willis

Publication date: 9 August 1999

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)




Related Items

A model of imperfect interface with damage, Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem, Segregated carbon nanotube networks in CNT-polymer nanocomposites for higher electrical conductivity and dielectric permittivity, and lower percolation threshold, Effect of pore shape on effective porothermoelastic properties of isotropic rocks, New explicit expressions of the Hill polarization tensor for general anisotropic elastic solids, Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory, Theoretical framework and experimental procedure for modelling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites, Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme, A micromechanical model of elastoplastic and damage behavior of a cohesive geomaterial, A homogenization-based constitutive model for isotropic viscoplastic porous media, Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced elastomers, Bounds on the overall properties of composites with ellipsoidal inclusions, Microcracks closure effects in initially orthotropic materials, Effective thermoelastic properties of random structure composites reinforced by the clusters of deterministic structure (application to clay nanocomposites), Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids, Deformation and short-term damage of a physically nonlinear unidirectional fibrous composite, The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics, Second order tensorial framework for 2D medium with open and closed cracks, Effect of branched cracks on the elastic compliance of a material, Homogenization-based constitutive models for magnetorheological elastomers at finite strain, Cavitation in elastomeric solids. I: A defect-growth theory, A micromechanics finite-strain constitutive model of fibrous tissue, Effective thermo-viscoelastic behavior of short fiber reinforced thermo-rheologically simple polymers: an application to high temperature fiber reinforced additive manufacturing, Bounds for nonlinear composites via iterated homogenization, A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities, Effective properties of fiber and platelet systems and related phase arrangements in \(n\)-phase heterogenous media, Dependence of the effective thermal pressure coefficient of a particulate composite on particles size, A micromechanics-based thermodynamic formulation of isotropic damage with unilateral and friction effects, Homogenization estimates for multi-scale nonlinear composites, The Eshelby problem of the confocal \(N\)-layer spheroid with imperfect interfaces and the notion of equivalent particle in thermal conduction, Packing and size effects in elastic-plastic particulate composites: micromechanical modelling and numerical verification, New boundary conditions for the computation of the apparent stiffness of statistical volume elements, Estimating the poroelastic properties of cracked materials, Multiscale modeling of nonlinear electric conductivity in graphene-reinforced nanocomposites taking into account tunnelling effect, Effect of crack orientation statistics on effective stiffness of mircocracked solid, FEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shape, Inhomogeneity of the first and second statistical moments of stresses inside the heterogeneities of random structure matrix composites, The effective compliance of spatially evolving planar wing-cracks, On reflected interactions in elastic solids containing inhomogeneities, Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis, Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution, Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers, A closed-form, hierarchical, multi-interphase model for composites-derivation, verification and application to nanocomposites, On the thermo-elastostatics of heterogeneous materials. II: Analysis and generalization of some basic hypotheses and propositions, Micromechanical modeling of the effective viscoelastic properties of inhomogeneous materials using fraction-eyponential operators, On the cluster bounds for the effective properties of microcracked solids, Solids with non-spherical cavities: Simplified representations of cavity compliance tensors and the overall anisotropy, The effects of crack face interaction on nonlinear wave propagation in microcracked media, On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory, A second-order homogenization method in finite elasticity and applications to black-filled elastomers, Effective viscoelastic behavior of particulate polymer composites at finite concentration, Phase mean strain and stress estimates in possibly multi-continuous composites under affine elastic-like behavior, The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites, A finite strain incremental-secant homogenization model for elasto-plastic composites, An inverse micro-mechanical analysis toward the stochastic homogenization of nonlinear random composites, Effective elastic moduli of nonspherical particle-reinforced composites with inhomogeneous interphase considering graded evolutions of elastic modulus and porosity, Effective stiffness of composites reinforced by cylindrical fibers with smooth ends, with potential application to nanocomposites, Numerical computation of effective anisotropic elastic properties of geosynthetics-reinforced pavements, On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites, The boundary-due terms in the Green operator of inclusion patterns from distant to contact and to connected situations using Radon transforms: illustration for spheroid alignments in isotropic media, Tailoring the frequency-dependent electrical conductivity and dielectric permittivity of CNT-polymer nanocomposites with nanosized particles, Compliance contribution tensor of an arbitrarily oriented ellipsoidal inhomogeneity embedded in an orthotropic elastic material, Numerical methods for porous metals with deformation-induced anisotropy, Effective porothermoelastic properties of transversely isotropic rock-like composites, SIF statistics in micro cracked solid: Effect of crack density, orientation and clustering, Porous materials with two populations of voids under internal pressure. I. Instantaneous constitutive relations, Micromechanics and structural response of functionally graded, particulate-matrix, fiber-reinforced composites, Mineral-collagen interactions in elasticity of bone ultrastructure -- a continuum micromechanics approach, A micromechanics-based nonlocal constitutive equation and minimum RVE size estimates for random elastic composites containing aligned spheroidal heterogeneities, Finite deformation of incompressible fiber-reinforced elastomers: a computational micromechanics approach, Micromechanical modeling of a cracked elliptically orthotropic medium, Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory, Application of the incremental variational approach (EIV model) to the linear viscoelastic homogenization of different types of microstructures: long fiber-, particle-reinforced and strand-based composites, Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates, Quantifying the effect of two-point correlations on the effective elasticity of specific classes of random porous materials with and without connectivity, A finite-strain model for anisotropic viscoplastic porous media. I : Theory, An exact result for the macroscopic response of porous neo-Hookean solids, A further exploration of the interaction direct derivative (IDD) estimate for the effective properties of multiphase composites taking into account inclusion distribution, Spherical and acicular representation of hydrates in a micromechanical model for cement paste: Prediction of early-age elasticity and strength, Closure of parallel cracks: micromechanical estimates versus finite element computations, Elastic properties of particle-reinforced composites containing nonspherical particles of high packing density and interphase: DEM-FEM simulation and micromechanical theory, Microscopic and macroscopic instabilities in finitely strained porous elastomers, Heterogeneous crystal and poly-crystal plasticity modeling from a transformation field analysis within a regularized Schmid law, Modeling and simulation of magnetic-shape-memory polymer composites, Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions, Thermoelastic stress fluctuations in random-structure coated particulate composites, Non-intrusive data learning based computational homogenization of materials with uncertainties, Effects of nano-voids and nano-cracks on the elastic properties of a host medium: XFEM modeling with the level-set function and free surface energy, Influence of residual stress on the elastic-plastic deformation of composites with two- or three-dimensional randomly oriented inclusions, A generalized self-consistent method for solids containing randomly oriented spheroidal inclusions, Morphologically representative pattern-based bounding in elasticity., Effective properties of ageing linear viscoelastic media with spheroidal inhomogeneities, A secant-viscosity approach to the time-dependent creep of an elastic-viscoplastic composite, A general constitutive theory for linear and nonlinear particulate media with microstructure evolution, Effective thermoelastic moduli and stress concentrator factors in nanocomposites, A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading, Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material, How interface size, density, and viscosity affect creep and relaxation functions of matrix-interface composites: a micromechanical study, Macroscopic response of particle-reinforced elastomers subjected to prescribed torques or rotations on the particles, Stationary variational estimates for the effective response and field fluctuations in nonlinear composites, Generalized derivative and its use for analysis of the microstructure of a heterogeneous medium, Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Components, Second-Order Homogenization Estimates Incorporating Field Fluctuations in Finite Elasticity, Rheology of a suspension of elastic particles in a viscous shear flow, Effective Hydraulic and Mechanical Properties of Heterogeneous Media with Interfaces, Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading, Convergence of FFT‐based homogenization for strongly heterogeneous media, The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids, On thermal coefficients of thermo-magneto-electro-elastic N-laminates, A symmetric fully optimized second‐order method for nonlinear homogenization, Asymptotic Analysis of Solutions to Transmission Problems in Solids with Many Inclusions, On poroelastic strain energy degradation in the variational phase-field models for hydraulic fracture, Effective elastic properties and wave surfaces of rock materials containing multiple cavities and cracks (effective field approach), Influence of flow-fiber coupling during mold-filling on the stress field in short-fiber reinforced composites, Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation, Theoretical predictions for the rheology of dispersions of highly deformable particles under large amplitude oscillatory shear, Effect of non-uniform void distributions on the yielding of metals, Analysis of the behavior of heterogeneous media with significantly differing physical properties with allowance for the effective dimension of the space and generalized derivative formalism, Interface integral technique for the thermoelasticity of random structure matrix composites, Uniformity of the Green operator and Eshelby tensor for hyperboloidal domains in infinite media, Finite-Strain Homogenization Models for Anisotropic Dielectric Elastomer Composites, On inelasticity of damaged quasi rate independent anisotropic materials, On the effective anisotropic elastic properties of porous hydroxyapatite, porous collagen, and cortical bone: A homogenization scheme with percolation threshold concept, Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix, Elastic properties of hybrid composites by the effective field approach., Justification of an effective field method in elasto-statics of heterogeneous solids, An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution, Analytical solutions for the effective viscoelastic properties of composite materials with different shapes of inclusions, Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids, A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis, Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations, A multiscale modeling of damage and time-dependent behavior of cohesive rocks



Cites Work