Simple algebraic approximations for the effective elastic moduli of cubic arrays of spheres

DOI10.1016/j.jmps.2004.02.008zbMath1115.74357OpenAlexW2080810062MaRDI QIDQ2573300

Israel Cohen

Publication date: 7 November 2005

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/j.jmps.2004.02.008

zbMATH Keywords

Anisotropic materialMicrostructuresElastic materialParticulate-reinforced material

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15)

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Elastic properties of solid material with various arrangements of spherical voids ⋮ Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries ⋮ Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification ⋮ Eigenstrain formulation of boundary integral equations for modeling particle-reinforced composites ⋮ Unnamed Item ⋮ A fast multipole BEM with higher-order elements for 3-D composite materials ⋮ Accuracy of the fast multipole boundary element method with quadratic elements in the analysis of 3D porous structures ⋮ Elastic behavior of composites containing Boolean random sets of inhomogeneities ⋮ Effective properties of elastic periodic composite media with fibers ⋮ Prediction of elastic properties of heterogeneous materials with complex microstructures

Cites Work

• Unnamed Item
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• Elastostatic resonances - A new approach to the calculation of the effective elastic constants of composites
• Interacting cracks and inclusions in a solid by multipole expansion method
• Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal particles
• Effective elastic properties of periodic composite medium.
• Effective stiffness tensor of composite media. I: Exact series expansions
• Effective stiffness tensor of composite media. II: Applications to isotropic dispersions
• Elastic properties of reinforced solids: Some theoretical principles
• On effective moduli of an elastic body containing periodically distributed voids
• Composites with periodic microstructure

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