An antiplane crack in a nonhomogeneous material is studied by assuming a continuously varying shear modulus which characterizes a decreasing rigidity near the crack tip. Explicit expressions for the stress and displacement fields are obtained and the influence of material softening upon these quanti
External crack in nonhomogeneous elasticity
โ Scribed by V.I. Fabrikant
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 218 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
The analysis deals with an elastic space whose modulus of elasticity varies with the depth according to a power law. Two types of external crack problems are considered: (i) arbitrary normal stresses are prescribed at the crack faces: (ii) arbitrary normal displacements are prescribed at the crack faces. Exact expressions are derived for both types. evaluating the stress concentration factor and the crack energy directly in terms of given quantities-namely, the stresses or the displacements.
๐ SIMILAR VOLUMES
Abdmc-A cylindrical crack at the interface of dissimilar nonhomogeneous elastic materials is studied. Three types of boundary conditions are considered. The mixed boundary conditions lead to dual integral equations which are. further reduced to a Fredholm integral equation of the second kind. A clos