The variational principle for probabilistic measure and Hashin-Shtrikman bounds

DOI10.1016/j.ijengsci.2023.104015OpenAlexW4390906921MaRDI QIDQ6155120

Victor L. Berdichevsky, Md-Tofiqul Islam

Publication date: 13 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2023.104015

zbMATH Keywords

compositesboundseffective modulipolycrystalsHashin-Shtrikman

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Quantum theory (81-XX)

Cites Work

• Distribution of local fields in composites
• Variational principles of continuum mechanics. I: Fundamentals
• The problem of averaging random structures in terms of distribution functions
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• Comportements local et macroscopique d'un type de milieux physiques heterogenes
• Variational methods for structural optimization
• Bounds and self-consistent estimates for elastic constants of random polycrystals with hexagonal, trigonal, and tetragonal symmetries
• A variational approach to the theory of the elastic behaviour of polycrystals
• Homogenization in probabilistic terms: the variational principle and some approximate solutions
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Variational and Related Methods for the Overall Properties of Composites
• Solution of Interface Problems by Homogenization. I
• The Theory of Composites
• Scaling confirmation of the thermodynamic dislocation theory
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