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Diffraction of torsional waves by a penny-shaped crack in a non-homogeneous thick fibre bonded to a non-homogeneous matrix |
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| Authors: | BM Singh J Rokne RS Dhaliwal J Vrbik |
| Institution: | aDepartment of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4;bDepartment of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4;cDepartment of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S-3A1 |
| Abstract: | In this paper the equation of motion is solved when the shear modulus and density are functions of r and z and the latter part of this paper contains an analysis of the interaction of torsional waves normally with penny-shaped crack located in a thick infinite elastic fibre. The infinite elastic fibre is bonded to an infinite elastic matrix. The matrix and the thick elastic fibre are non-homogeneous and are of dissimilar materials. The solution of the problem is reduced to a Fredholm integral equation of the second kind, which is solved numerically. The numerical solution is used to calculate the stress intensity factor at the rim of the penny-shaped crack. Finally the results of the stress intensity factors are displayed graphically. |
| Keywords: | Diffraction Torsional waves Crack Non-homogeneous |
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