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Dynamic Propagation Problems Concerning Asymmetrical Mode III Interface Crack

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By application of the theory of complex functions, dynamic propagation problems concerning asymmetrical mode III interface crack were studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems researched can be easily transformed into Riemann-Hilbert problems and analytical solutions of an asymmetrical propagation crack under the conditions of variable moving loads and unit-step moving loads, respectively, are attained. After those solutions are utilized by superposition theorem, the solutions of arbitrarily complex problems can be gained.

Keywords: Analytical solutions; Asymmetrical mode III interface crack; Complex functions; Dynamic propagation; Self-similar function

Document Type: Research Article


Affiliations: 1: School of Material Science and Engineering, Shenyang Ligong University, Shenyang, P.R. China 2: Department of Civil Engineering, Northeastern University, Shenyang, P.R. China 3: Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin, P.R. China

Publication date: 2008-07-01

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