A method for the determination of the effective moduli of elastic solids containing a doubly periodic rectangular array of cracks is given. The derivation is based on the analysis of a unit cell in which the displacement vector is expanded to a second order in the distances from centerlines. The equ
Mechanical behavior of cracked solids
โ Scribed by C.R. Chiang
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 394 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
A general relation between the apparent fracture toughness and the crack growth distance developed earlier is used to study mechanical behavior of a micro-cracked solid in this paper. A one-dimensional model is constructed in which the micro-crack length is regarded as an internal variable. Following the argument in traditional damage mechanics, an incremental form of the constitutive relationship between stress and strain is derived. Numerical results of the theory are used to illustrate the influence of the material parameters appearing in the model.
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Richard J.d. Tilley. Includes Bibliographical References And Index.