On approximate symmetries of the elastic properties and elliptic orthotropy

DOI10.1016/j.ijengsci.2007.11.003zbMath1213.74083OpenAlexW1992146872MaRDI QIDQ540931

Igor Sevostianov, Mark L. Kachanov

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2007.11.003

zbMATH Keywords

anisotropyorthotropyapproximate symmetryelastic symmetry

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

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Effective elastic properties of a particulate composite with transversely-isotropic matrix ⋮ Evaluation of the effective elastic and conductive properties of a material containing concave pores ⋮ On the anisotropy of cracked solids ⋮ Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials ⋮ On a possible approximation of changes in elastic properties of a transversely isotropic material due to an arbitrarily oriented crack ⋮ Compressibility and shear compliance of spheroidal pores: exact derivation via the Eshelby tensor, and asymptotic expressions in limiting cases ⋮ On an arbitrarily oriented crack in a transversely-isotropic medium ⋮ An exact closed-form solution of three-dimensional transient Green's functions in a constrained transversely isotropic half-space ⋮ Maxwell's methodology of estimating effective properties: alive and well ⋮ 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 ⋮ Micromechanical modeling of a cracked elliptically orthotropic medium ⋮ Transient Green's functions of a buried pulse in a constrained transversely isotropic half-space

Cites Work

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• The structure of the linear anisotropic elastic symmetries
• Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization
• Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution
• Explicit cross-property correlations for anisotropic two-phase composite materials
• On quantitative characterization of microstructures and effective properties
• ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS
• Fourth-rank tensors of the thirty-two crystal classes: multiplication tables
• Positive Definiteness of Anisotropic Elastic Constants
• Spectral decomposition of anisotropic elasticity

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