On the behavior of elastic composites with transverse isotropic symmetry

DOI10.1016/0022-5096(91)90046-QzbMath0754.73068OpenAlexW2023703307MaRDI QIDQ1196727

Robert P. Lipton

Publication date: 16 January 1993

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(91)90046-q

zbMATH Keywords

axial shear modulusfinite rank laminar microstructuresHashin's boundsHill's boundsoptimal tensor inequalitytransverse shear modulus

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Elastic materials (74B99)

Related Items (7)

Fourth-order moments of nonnegative measures on \(S^ 2\) and applications ⋮ Levin and Ghins on the ``no miracle argument and naturalism ⋮ A physically motivated set of invariants and tensor generators in the case of transverse isotropy ⋮ On the possibility of inference to the best explanation ⋮ Patterns of abduction ⋮ On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials ⋮ A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations

Cites Work

• Homogenization and optimal bounds in linear elasticity
• Variational bounds on the effective moduli of anisotropic composites
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• An interpolation problem in the class of Stieltjes functions and its connection with other problems
• Laminar Elastic Composites with Crystallographic Symmetry
• Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion

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