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Dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads

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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.

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Authors and Affiliations

  1. School of Material Science and Engineering, Shenyang Ligong University, Shenyang, 110168, P. R. China

    Nian-chun Lü  (吕念春)

  2. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin, 150001, P. R. China

    Nian-chun Lü  (吕念春), Xin-gang Li  (李新刚) & Jin Cheng  (程靳)

  3. Department of Civil Engineering, Northeastern University, Shenyang, 110006, P. R. China

    Yun-hong Cheng  (程云虹)

Authors
  1. Nian-chun Lü  (吕念春)
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  2. Yun-hong Cheng  (程云虹)
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  3. Xin-gang Li  (李新刚)
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  4. Jin Cheng  (程靳)
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Corresponding author

Correspondence to Nian-chun Lü  (吕念春).

Additional information

(Communicated by WANG Yin-bang)

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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Lü, Nc., Cheng, Yh., Li, Xg. et al. Dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads. Appl. Math. Mech.-Engl. Ed. 29, 1279–1290 (2008). https://doi.org/10.1007/s10483-008-1003-z

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  • DOI: https://doi.org/10.1007/s10483-008-1003-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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