Voigt-reuss and Hashin-Shtrikman bounds revisited

DOI10.1016/j.ijengsci.2023.103903OpenAlexW4380207109MaRDI QIDQ6133295

Mark L. Kachanov, Damian Stefaniuk

Publication date: 18 August 2023

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

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2023.103903

zbMATH Keywords

boundseffective propertiescross-property connections

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Computer science (68-XX)

Related Items (1)

On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition

Cites Work

• Variational bounds on the effective moduli of anisotropic composites
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Hashin-Shtrikman bounds on the Poisson ratio of a composite material
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Explicit cross-property correlations for anisotropic two-phase composite materials
• Elastic properties of reinforced solids: Some theoretical principles
• Fourth-rank tensors of the thirty-two crystal classes: multiplication tables
• Random heterogeneous materials. Microstructure and macroscopic properties
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