The Complex Potential Approach to Power-Logarithmic Stress Singularities for V-Notched Cracks in a Bi-Material
Power-logarithmic stress singularites and the coefficient vectors for V-notched cracks in a bi material are obtained by using complex potentials and the concept of repeated roots for general solutions. On several examples, it is shown that the results obtained using the complex potential approach ar...
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Veröffentlicht in: | Journal of mechanical science and technology 1999, Vol.13 (1), p.19-25 |
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description | Power-logarithmic stress singularites and the coefficient vectors for V-notched cracks in a bi material are obtained by using complex potentials and the concept of repeated roots for general solutions. On several examples, it is shown that the results obtained using the complex potential approach are identical to those found by Bogy (1970) using the Mellin transform method, and to those found by Dempsey and Sinclair (1979, 1981) using the Airy stress function approach. |
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subjects | Bogies Cracks Logarithms Mathematical analysis Mellin transforms Singularities Stress functions Stresses Vectors (mathematics) |
title | The Complex Potential Approach to Power-Logarithmic Stress Singularities for V-Notched Cracks in a Bi-Material |
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