Dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads |
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Authors: | Nian-chun Lü Yun-hong Cheng Xin-gang Li Jin Cheng |
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Institution: | (1) School of Material Science and Engineering, Shenyang Ligong University, Shenyang, 110168, P. R. China;(2) Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin, 150001, P. R. China;(3) Department of Civil Engineering, Northeastern University, Shenyang, 110006, P. R. China |
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Abstract: | With the theory of complex functions, dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected
to moving loads are investigated. General representations of analytical solutions are obtained with self-similar functions.
The problems can be easily converted into Riemann-Hilbert problems using this technique. Analytical solutions to stress, displacement
and dynamic stress intensity factor under constant and unit-step moving loads on the surfaces of asymmetrical extension crack,
respectively, are obtained. By applying these solutions, together with the superposition principle, solutions of discretionarily
intricate problems can be found.
Project supported by the Post-Doctoral Science Foundation of China (No. 2005038199) and the Natural Science Foundation of
Heilongjiang Province of China (No. ZJG04-08) |
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Keywords: | complex functions asymmetrical mode III crack dynamic propagation self-similar functions analytical solutions |
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