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Internal stresses in heterogeneous solids. (English) Zbl 0760.73001
Physical Research. 9. Berlin: Akademie-Verlag GmbH. 225 p. (1989).
This book is concerned with the mechanical behaviour of heterogeneous solids. The main purpose is to derive analytical relations between the relevant macroscopic characteristics of materials and the microstructural mechanical and geometrical data. The internal stresses which vary on the scale of the heterogeneities play a central role in this analysis since they cause phenomena such as concentrated deformation, local plastic flow, microcracking and others, which may add up to macroscopic effects.
The analysis is restricted to the linear thermoelastic behaviour for polycrystalline, multiphase composite or porous materials for which the heterogeneities are of such a small size that the heterogeneous material appears to be homogeneous from a macroscopic point of view and, at the same time, the heterogeneities are still large enough to be described by continuum mechanics.
The matter in this book is organized in 7 chapters. Chapter 1 is an introductory one. Chapter 2 presents the theoretical foundations for the analysis of stresses and includes also some elements of probability theory since the random microstructures are mostly considered. Chapter 3 is concerned with stress concentrations around isolated heterogeneities, and chapters 4 and 5 develop the theory of overall or effective thermoelastic constants of heterogeneous solids. The final chapters 6 and 7 comprise authors’ results on this topic. The book is very interesting and useful for all specialists interested in modern problems of continuum mechanics.

74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74A60 Micromechanical theories
74M25 Micromechanics of solids