Bounds on the non-local effective elastic properties of composites

DOI10.1016/0022-5096(84)90003-6zbMath0535.73004OpenAlexW2088601743MaRDI QIDQ791338

J. Weissbarth, G. Diener, A. Hürrich

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-5096(84)90003-6

zbMATH Keywords

Hashin-Shtrikman boundsbinary mixturestwo-point correlation functioncomposite materialbounds are dispersivebounds of the effective elastic modulicell-like structuresgeometry of the materialstatistically isotropictrial field

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Random materials and composite materials (74A40)

Related Items (11)

Overall dynamic properties of three-dimensional periodic elastic composites ⋮ Overall dynamic constitutive relations of layered elastic composites ⋮ Computational homogenization of higher‐order continua ⋮ Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. ⋮ On modifications of Newton's second law and linear continuum elastodynamics ⋮ Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces ⋮ Computational continua ⋮ Bounds on non-local effective relations for random composites loaded by configuration-dependent body force ⋮ A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. ⋮ Acoustic and effective material parameters of heterogeneous viscoelastic bodies ⋮ A micromechanics-based nonlocal constitutive equation incorporating three-point statistics for random linear elastic composite materials

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Bounds for the non-local effective properties of random media
• Bounds for the non-local effective properties of random media. II
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• Mean field variations in a statistical sample of heterogeneous linearly elastic solids
• Linear theory of nonlocal elasticity and dispersion of plane waves
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