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Fracture dynamics problems of orthotropic solids under anti-plane shear loading

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Abstract

By application of the approaches of the theory of complex functions, fracture dynamics problems of orthotropic solids under anti-plane shear loading were researched. Universal representation of analytical solutions was obtained by means of self-similar functions. The problems dealt with can be facilely transformed into Riemann–Hilbert problems by this technique, and analytical solutions of the stress, the displacement and dynamic stress intensity factor under the actions of moving increasing loads Px 2/t 2 and Pt 3/x 2 for the edges of asymmetrical mode III crack, respectively, were acquired. In the light of corresponding material properties, the variable rule of dynamic stress intensity factor was illustrated very well.

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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

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

    Yun-hong Cheng

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

    Nian-chun Lü, Yun-tao Wang & Jin Cheng

Authors
  1. Nian-chun Lü
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  2. Yun-hong Cheng
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  3. Yun-tao Wang
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  4. Jin Cheng
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Correspondence to Nian-chun Lü.

Additional information

Project supported by the postdoctoral foundation of China (No. 2005038199), HeiLongJiang Provincial Nature Science Foundation of China (ZJG04-08).

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Lü, Nc., Cheng, Yh., Wang, Yt. et al. Fracture dynamics problems of orthotropic solids under anti-plane shear loading. Nonlinear Dyn 63, 793–806 (2011). https://doi.org/10.1007/s11071-010-9838-8

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  • DOI: https://doi.org/10.1007/s11071-010-9838-8

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