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Diffraction of antiplane shear waves by two cracks in the presence of a magnetic field

โœ Scribed by Singh, B. M. ;Dhaliwal, R. S.

Publisher
Springer
Year
1980
Tongue
English
Weight
535 KB
Volume
36
Category
Article
ISSN
0003-6994

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โœฆ Synopsis

The problem of scattering of horizontal polarized shear waves by the two cracks in a uniform magnetostatic field is considered. The magnetic field is assumed to be parallel to the crack surfaces as well as perpendicular to the crack surfaces. The elastic medium under consideration is a homogeneous, isotropic and infinitely conducting one. The solution of the problem is reduced into a pair of triple integral equations having trigonometrical kernels. Using the finite Hilbert transform technique, solution of the pair of triple integral equations is obtained for the low frequencies. Finally, approximate formulae are derived for the stress intensity factors.

๐Ÿ“œ SIMILAR VOLUMES

Interaction of antiplane shear waves by
Interaction of antiplane shear waves by a Griffith crack at the interface of two bonded dissimilar elastic half-spaces
โœ K. N. Srivastava; R. M. Palaiya; D. S. Karaulia ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 448 KB

The paper deals with the problem of finding the distribution of stress in the neighbourhood of a Griffith crack located at the interface of two bonded dissimilar elastic half-spaces. The crack is excited by a normally incident antiplane shear wave. The problem is reduced to that of solving a Fredhol