An integral equation approach to self-similar plane-elastodynamic crack problems |
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Authors: | H G Georgiadis |
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Institution: | (1) Mechanics Division, Naval Academy of Greece, 33-35 G. Papandreou St., 16231 Athens, Greece;(2) Present address: Mechanics Division, School of Technology, The Aristotle University of Thessaloniki, Box 422, 54006, Greece |
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Abstract: | The elastodynamic problem of an expanding crack under homogeneous polynomialform loading was reduced to the solution of a Cauchy singular integral equation. In this manner the solution of the original problem can be obtained by using well-known numerical treatments available for Cauchy SIEs. The procedure was accomplished by means of the Busemann-Chaplygin similarity technique and complex variable methods. The analysis has been restricted to the subsonic case. |
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