Elastic moduli of heterogeneous solids with ellipsoidal inclusions and elliptic cracks

DOI10.1007/BF01215417zbMath0923.73035OpenAlexW2073590733MaRDI QIDQ1914949

Yanyan Li

Publication date: 3 November 1999

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

Full work available at URL: https://doi.org/10.1007/bf01215417

zbMATH Keywords

crack density parameterHashin-Shtrikman's boundsMori-Tanaka's theorytwo-dimensional randomly oriented inclusionstwo-point spheroidal correlation functionWillis' transversely isotropic bounds

Mathematics Subject Classification ID

Composite and mixture properties (74E30)

Related Items (8)

Control of fracture at the interface of dissimilar materials using randomly oriented inclusions and networks ⋮ The inverse doubly periodic problem of fracture mechanics for a composite reinforced with unidirectional fibres ⋮ Biography of the Prager Medalist: Professor George Weng ⋮ Nucleation of cracks in an isotropic medium with periodic system of rigid inclusions under transverse shear ⋮ Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks ⋮ Thermoelectroelastic solution for elliptic inclusions and application to crack-inclusion problems ⋮ A numerical elastic-plastic contact model for a half-space with inhomogeneous inclusions and cracks ⋮ A micromechanics theory for the transformation toughening of two-phase ceramics.

Cites Work

• Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
• Effective thermoelastic properties of short-fiber composites
• Elastic moduli for a class of porous materials
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Explicit evaluation of Willis' bounds with ellipsoidal inclusions
• Elastic moduli of a cracked solid
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• The determination of the elastic field of an ellipsoidal inclusion, and related problems

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