A method of homogenization of elastic media

DOI10.1016/0020-7225(87)90125-XzbMath0612.73011OpenAlexW2033625620MaRDI QIDQ1088435

Michael Ortiz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90125-x

zbMATH Keywords

Fourier transformeffective moduliperturbation techniquetwo-phase continuumfirst-order approximationfluctuation fieldseffective behaviorClosed form expressionsaverage stress tensorequation of second kindfluctuation stress potentialheterogeneous elastic mediummicrostructural responsenontrivial correction to the Voigt average modulirandomly distributed inclusionsstrain fluctuations

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Fredholm integral equations (45B05)

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Cites Work

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• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Mean field variations in a statistical sample of heterogeneous linearly elastic solids
• Analysis of Composite Materials—A Survey
• First-principle approach to the calculation of elastic moduli for arbitrary periodic composites
• The Elastic Constants of a Solid containing Spherical Holes

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