Self-consistent methods for composites. Vol. 1: Static problems
From MaRDI portal
Publication:2464134
zbMath1142.74003MaRDI QIDQ2464134
Publication date: 10 December 2007
Published in: Solid Mechanics and Its Applications (Search for Journal in Brave)
Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Random structure in solid mechanics (74E35)
Related Items (69)
Stress fields in 3D-elastic material containing multiple interacting cracks of arbitrary shapes: efficient calculation ⋮ Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape ⋮ On the optimality of the window method in computational homogenization ⋮ Exact relations between the effective thermoelectroelastic characteristics of piezoelectric composites ⋮ Effective elastic properties of a particulate composite with transversely-isotropic matrix ⋮ Polarization approximations for macroscopic conductivity of isotropic multicomponent materials ⋮ Acoustic field generated by an axisymmetric source embedded in a fluid-filled cylindrical hole located in a micro-cracked medium ⋮ Nonlinear effective behavior of a dispersion of randomly oriented coated ellipsoids with arbitrary temporal dispersion ⋮ Effective conductivity of matrix composites and foam materials by self-consistent field method using commercial FEA software ⋮ Phase transformations surfaces and exact energy lower bounds ⋮ Hydraulic fracture crack propagation in an elastic medium with varying fracture toughness ⋮ Connections between anisotropic tensors of thermal conductivity and thermal expansion coefficients ⋮ Scattering problem for a spherical inclusion in poroelastic media: application of the asymptotic expansion method ⋮ Overall elastic properties of a material containing inhomogeneities of concave shape ⋮ Effective viscoelastic properties of short-fiber reinforced composites ⋮ Efficient homogenization techniques for elastic composites: Maxwell scheme vs. effective field method ⋮ Effective thermal conductivity of micro-inhomogeneous media containing imperfectly bonded ellipsoidal inclusions ⋮ Discrete model of hydraulic fracture crack propagation in homogeneous isotropic elastic media ⋮ Micromechanical schemes for Stokes to Darcy homogenization of permeability based on generalized Brinkman inhomogeneity problems ⋮ Segregated carbon nanotube networks in CNT-polymer nanocomposites for higher electrical conductivity and dielectric permittivity, and lower percolation threshold ⋮ An efficient homogenization method for elastic media with multiple cracks ⋮ Effective coefficient of thermal expansion of \(n\)-layered composite sphere model: exact solution and its finite element validation ⋮ Two models for determination of the effective conductivity of concentrated suspensions of ellipsoidal particles with surface phenomena ⋮ Determination of effective electromagnetic parameters of concentrated suspensions of ellipsoidal particles using generalized differential effective medium approximation ⋮ The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics ⋮ Characteristic lengths in natural bundle assemblies arising from fiber-matrix energy competition: a Floquet-based homogenization theory ⋮ Effect of branched cracks on the elastic compliance of a material ⋮ Multiscale modeling of fluid permeability of a non-homogeneous porous media ⋮ An efficient homogenization method for composite materials with elasto-plastic components ⋮ Evaluating bounds and estimators for constants of random polycrystals composed of orthotropic elastic materials ⋮ Generalized Maxwell's scheme for homogenization of poroelastic composites ⋮ Effective properties of two-dimensional dispersed composites. II: Revision of self-consistent methods ⋮ Effective anti-plane properties of piezoelectric fibrous composites ⋮ Cavities and cracks subjected to pressure of injected fluid in poroelastic media ⋮ The effect of porosity on the elastic properties of cortical bone and ultrasound propagation ⋮ 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 ⋮ INFLUENCE OF SPATIAL INTERACTIONS OF INCLUSIONS ON THE EFFECTIVE ELASTIC TENSOR OF CRACKED POROUS MEDIUM ⋮ Effects of the orientation distribution of thin soft inclusions on the effective elastic moduli of microheterogeneous material ⋮ Homogenization approaches for the effective characteristics of fractional visco-piezoelastic fibrous composites ⋮ Effective medium method in solution of the elastic and thermo-elastic homogenization problems for polycrystals with spheroidal transverse isotropic grains ⋮ Radially transverse isotropic inclusions in isotropic conductive media: local fields, effective properties, neutral inclusions ⋮ On reflected interactions in elastic solids containing inhomogeneities ⋮ Modeling stress‐affected chemical reactions in composite materials ⋮ An elliptical crack in an anisotropic elasic medium subjected to a constant external field ⋮ Fast solution of 3D-elasticity problem of a planar crack of arbitrary shape ⋮ A unified methodology for calculation of compliance and stiffness contribution tensors of inhomogeneities of arbitrary 2D and 3D shapes embedded in isotropic matrix -- open access software. ⋮ Local fields and effective conductivity of composites with anisotropic components ⋮ On the thermo-elastostatics of heterogeneous materials. I: General integral equation ⋮ On the thermo-elastostatics of heterogeneous materials. II: Analysis and generalization of some basic hypotheses and propositions ⋮ Scattering of monochromatic elastic waves on a planar crack of arbitrary shape ⋮ Combining self-consistent and numerical methods for the calculation of elastic fields and effective properties of 3D-matrix composites with periodic and random microstructures ⋮ Quantitative characterization of the microstructure of a porous material in the context of tortuosity ⋮ Effective conductivity of anisotropic media with crack-like inclusions and cracks of arbitrary shapes ⋮ Plastic energy-based analytical approach to predict the mechanical response of two-phase materials with application to dual-phase steels ⋮ On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites ⋮ Effective electrokinetic parameters of porous media with ellipsoidal inclusions. The differential effective medium approximation ⋮ Compliance contribution tensor of an arbitrarily oriented ellipsoidal inhomogeneity embedded in an orthotropic elastic material ⋮ Effect of saturation on the elastic properties and anisotropy of cortical bone ⋮ Fluid filtration through the media with random sets of crack-like inclusions ⋮ Elliptical cracks arbitrarily oriented in 3D-anisotropic elastic media ⋮ Fast solution of the elasticity problem for a planar crack of arbitrary shape in 3D-anisotropic medium ⋮ On the effective elastic properties of matrix composites: combining the effective field method and numerical solutions for cell elements with multiple inhomogeneities ⋮ Solvability of the equivalent inclusion problem for an ellipsoidal inhomogeneity ⋮ An exact analytical solution of an \(\mathbb{R}\)-linear conjugation problem for a \(n\)-phased concentric circular heterogeneous structure ⋮ Effective thermal conductivity of particulate composites for time-varying temperature fields ⋮ Replacement relations for elastic composite materials having different matrices and related problems ⋮ Scattering of plane monochromatic waves from a heterogeneous inclusion of arbitrary shape in a poroelastic medium: an efficient numerical solution ⋮ Creep and relaxation contribution tensors for spheroidal pores in hereditary solids: fraction-exponential operators approach
This page was built for publication: Self-consistent methods for composites. Vol. 1: Static problems
