Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities

DOI10.1007/BF01180221zbMath0811.73045MaRDI QIDQ1341912

V. Pereyra

Publication date: 11 January 1995

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

zbMATH Keywords

representative volume elementrenormalization procedurealigned penny-shaped microcracksensemble-volume averaged field equations

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Composite and mixture properties (74E30) Micromechanical theories (74A60)

Related Items (28)

Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Components ⋮ Micromechanical modelling and simulation of chopped random fiber reinforced polymer composites with progressive debonding damage ⋮ Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities ⋮ Micromechanics-based elastic-damage analysis of laminated composite structures ⋮ Elastic solids with high concentration of arbitrarily oriented multiphase particles ⋮ The overall elastoplastic behavior of multiphase materials with isotropic components ⋮ Micromechanics-based viscoelastic damage model for particle-reinforced polymeric composites ⋮ New higher-order bounds on effective transverse elastic moduli of three-phase fiber-reinforced composites with randomly located and interacting aligned circular fibers ⋮ Effective transverse elastic moduli of three-phase hybrid fiber-reinforced composites with randomly located and interacting aligned circular fibers of distinct elastic properties and sizes ⋮ Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions ⋮ Interface energy effect on effective elastic moduli of spheroidal particle-reinforced nanocomposites ⋮ Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions ⋮ A combined analytical formulation and genetic algorithm to analyze the nonlinear damage responses of continuous fiber toughened composites ⋮ An elastoplastic damage model for metal matrix composites considering progressive imperfect interface under transverse loading ⋮ Maximum entropy-based stochastic micromechanical model for a two-phase composite considering the inter-particle interaction effect ⋮ Binary inclusion model for the overall elasticity of imperfectly bonded composites ⋮ Strain energy-based homogenization of nonlinear elastic particulate composites ⋮ Micromechanics-based modelling of stiffness and yield stress for silica/polymer nanocomposites ⋮ Elastoplastic modeling of progressive interfacial debonding for particle-reinforced metal-matrix composites ⋮ Derivation of a mesoscopic model for nonlinear particle-reinforced composites from a fully microscopic model ⋮ A stochastic micromechanical model for multiphase composites containing spherical inhomogeneities ⋮ An elastoplastic multi-level damage model for ductile matrix composites considering evolutionary weakened interface ⋮ Differential scheme-based stochastic micromechanical framework for saturated concrete repaired by EDM ⋮ Effective elastic moduli of three-phase composites with randomly located and interacting spherical particles of distinct properties ⋮ A micromechanical damage model for effective elastoplastic behavior of ductile matrix composites considering evolutionary complete particle debonding ⋮ The Multiscale Analysis of Multiple Interacting Inclusions Problem: Finite Number of Interacting Inclusions ⋮ Elastic interactions in particulate composites with perfect as well as imperfect interfaces ⋮ A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape

Cites Work

• On the Mori-Tanaka method in cracked bodies
• Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
• Effective elasticity tensor of a periodic composite
• The effective mechanical properties of nonlinear isotropic composites
• On methods for bounding the overall properties of nonlinear composites
• Elastic coefficients of composites containing spherical inclusions in a periodic array
• Elastic solids with many cracks: a simple method of analysis
• Elastic moduli for a class of porous materials
• The differential scheme and its application to cracked materials
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Solutions for effective shear properties in three phase sphere and cylinder models
• On two kinds of ellipsoidal inhomogeneities in an infinite elastic body: An application to a hybrid composite
• Bounds on the elastic and transport properties of two-component composites
• Elastic moduli of a cracked solid
• A study of the differential scheme for composite materials
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• The solution of the equations of linear elasticity for an infinite region containing two spherical inclusions
• The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations
• Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities
• Overall moduli of solids with microcracks: load-induced anisotropy
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• On the overall elastic moduli of composite materials
• A variational approach to the theory of the elastic behaviour of polycrystals
• The theoretical connection between Mori-Tanaka's theory and the Hashin- Shtrikman-Walpole bounds
• On the application of Mori-Tanaka's theory involving transversely isotropic spheroidal inclusions
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Dislocations in visco-elastic materials
• The Elastic Moduli of Heterogeneous Materials
• On effective moduli of an elastic body containing periodically distributed voids
• Analysis of Composite Materials—A Survey
• An Examination of the Mori-Tanaka Effective Medium Approximation for Multiphase Composites
• On effective moduli of an elastic body containing periodically distributed voids: Comments and corrections
• On the overall properties of nonlinearly viscous composites
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• On Stiffness and Strength of an Aligned Short-Fiber Reinforced Composite Containing Fiber-End Cracks Under Uniaxial Applied Stress
• New bounds on effective elastic moduli of two-component materials
• Composites with periodic microstructure
• A Micromechanical Damage Model for Uniaxially Reinforced Composites Weakened by Interfacial Arc Microcracks
• THE OVERALL ELASTIC MODULI OF A DILUTE SUSPENSION OF SPHERES
• Effective Elastic Moduli of Two-Dimensional Brittle Solids With Interacting Microcracks, Part I: Basic Formulations
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• THE ELASTIC BEHAVIOUR OF A SUSPENSION OF SPHERICAL PARTICLES

This page was built for publication: Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities