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- Title
Diffraction of antiplane shear waves by a finite crack in a piezoelectric material.
- Authors
Singh, B.M.; Rokne, J.; Dhaliwal, R.S.
- Abstract
The problem of diffraction of antiplane shear waves by a crack of finite length under the permeable electric boundary conditions is investigated analytically. Using Fourier transforms the mixed boundary value problem is reduced to two pairs of dual integral equations. These dual integral equations are further reduced to a pair of Fredholm integral equations of the second kind. The iterative solutions of the Fredholm integral equations have been obtained for small values of the wave number. And analytical expressions for the dynamic stress intensity factor and electric displacement intensity factor are obtained. Finally the numerical results for dynamic stress intensity factor are displayed graphically.
- Subjects
OPTICAL diffraction; SHEAR waves; PIEZOELECTRIC materials research; FOURIER transforms; DUAL integral equations; NUMERICAL solutions to Fredholm equations
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2011, Vol 91, Issue 11, p866
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.201000160