Dynamic penny-shaped crack in a transversely isotropic material
โ Scribed by Y.M. Tsai
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 563 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
The scattering of a harmonic longitudinal wave by a penny-shaped crack in a transversely isotropic material is investigated using the techniques of Hankel transform. The wave impinges normally on the crack surfaces. A complete contour integration is employed to simplify the expressions of the results. An exact expression of the dynamic stress-intensity factor is obtained as a function of the frequency factor and the anisotropic material constants. The normalized dynamic stress-intensity factor is shown to have different maximum values at different wave frequencies for the sample composite and metallic materials. The distortion of the dynamic crack shape and the displacement at the crack center are also shown to be dependent of the wave frequency and the anisotropy of the material.
๐ SIMILAR VOLUMES
TItt? problem of a ~~~~~~~ crack at tk? interface of two ~j~jrnj~ar traosmly isotropic Iayers has bexm considered. The m&od of Hankei trattsfm-ms &as been empliayed to reduce the problem to the solution of a system of singular integra1 equations, These equations have been further reduced to a system
This paper deals with the problem of determining the stress intensity factors when a penny-shaped crack 0 < r d 1, z = 0 is located at the interface of two bonded dissimilar transversely isotropic elastic half-spaces. Analytical solutions for contact stresses, stress intensity factors and difference