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Micromechanics: Overall Properties of Heterogeneous Materials
Author(s) -
Sia NematNasser,
M. Lori,
S. K. Datta
Publication year - 1996
Publication title -
journal of applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 97
eISSN - 1528-9036
pISSN - 0021-8936
DOI - 10.1115/1.2788912
Subject(s) - micromechanics , elastic modulus , elasticity (physics) , linear elasticity , traction (geology) , microstructure , materials science , mechanics , classical mechanics , mathematical analysis , mathematics , physics , composite material , thermodynamics , geology , composite number , geomorphology , finite element method
Part 1 Overall properties of heterogeneous solids: aggregate properties and averaging methods aggregate properties, averaging methods elastic solids with microcavities and microcracks linearly elastic solids, elastic solids with traction-free defects, elastic solids with micrcavities, elastic solids with microcracks elastic solids with micro-inclusions overall elastic modulus and compliance tensors, examples o elastic solids with elastic micro-inclusions, upper and lower bounds for overall elastic moduli, self-consistent differential and related averaging methods, Eshelby's tensor and related topics solids with periodic microstructure general properties and field equations, overall properties of solids with periodic microstructure, mirror-image decomposition of periodic fields. Part 2 Introduction to basic elements of elasticity theory: foundations geometric foundations, kinematic foundations, dynamic foundations, constitutive relations elastostatic problems of linear elasticity boundary-value problems and extremum principles three-dimensional problems solution of singular problems. Appendix: references.

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