Fracture mechanics of composite materials: By GENADY P. CHEREPANOV Publishing House “Nauka,” Moscow, 1983. 296 pages, 119 figures, 203 refs. (in Russian)
✍ Scribed by A.A. Kaminsky
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 393 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
THE AUTHOR of this book is apparently known to Western readers, first of all, by the English edition of his fundamental treatise [l] summarizing, in the main, his work in fracture during the 1960s. He is certainly the great name in Soviet fracture science.
Composite materials are widespread in nature and engineering practice. Their characteristics can be effectively planned like those of constructions. Cracks originate in composites during manufacture or in the very early stage of operation due to essential heterogeneity, which is the main difficulty with the theory. Therefore, the limiting loads and the lives of composites are governed by the laws of growth of various cracks.
The basic results of the book (which contains three chapters, an appendix and a list of references) concentrate on the following four directions :
(1) Mechanisms and laws of fracture of composites.
(2) The asymptotic theory of reinforcement of elastic structures by singular elements.
(3) The theory of lamination cracks in multilayer structures and optimal planning of multilayer shells. (4) The theory of I-integration and of I-residues. These contributions are discussed below in more detail.
- Mechanisms and laws of fracture of composites (Chapter 1). The first section of the chapter treats the formulation of the general theory of fracture for arbitrary solids. The theory was advanced by the author in 1967 [2,3]. Moreover, there are some generalizations in the book, certain of which are unnecessary, in my opinion (e.g. an account of electromagnetic properties of solids). The physical essence of the theory is that the rectilinear local growth of a crack is governed by only one local parameter r that represents the irreversible work spent to form a unit surface of the crack at a point under consideration. This parameter is defined for a solid of any configuration as the increment