A Green’s function approach to third-order elastic constants of disordered solids

DOI10.1063/1.527256zbMath0602.73003OpenAlexW1978029483MaRDI QIDQ3738653

A. N. Basu, Shyamal Sengupta, T. R. Middya

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527256

zbMATH Keywords

approximationsGreen functiondisordered materialsstrain distributionself-consistent solutionapproach to nonlinear domaineffective nonlinear static mechanical susceptibilityexact formal solutionextension of effective mediummacroscopic homogeneous materialmicroscopic inhomogeneitiesrandom elasticitythird-order elastic constant is a genericVoigt- and Reuss-type averaging

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random materials and composite materials (74A40)

Cites Work

• A variational approach to the theory of the elastic behaviour of polycrystals
• The determination of the elastic field of an ellipsoidal inclusion, and related problems

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