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Fracture dynamics problem on mode I semi-infinite crack

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Abstract

By means of the theory of complex functions, fracture dynamics problems concerning mode I semi-infinite crack were studied. Analytical solutions of stress, displacement and dynamic stress intensity factor under the action of moving increasing loads Pt 3/x 3, Px 3/t 2, respectively, are very easily obtained using the ways of self-similar functions. The correlative closed solutions are attained based on the Riemann–Hilbert problems.

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Authors and Affiliations

  1. School of Material Science and Engineering, Shenyang Ligong University, 110159, Shenyang, Peoples Republic of China

    Nian Chun Lü

  2. School of Civil Engineering, Harbin Engineering University, 150001, Harbin, Peoples Republic of China

    Xin Gang Li

  3. Department of Civil Engineering, Northeastern University, 110006, Shenyang, Peoples Republic of China

    Yun Hong Cheng

  4. Department of Astronautics and Mechanics, Harbin Institute of Technology, 150001, Harbin, Peoples Republic of China

    Nian Chun Lü & Jin Cheng

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  1. Nian Chun Lü
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  2. Xin Gang Li
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  3. Yun Hong Cheng
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  4. Jin Cheng
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Correspondence to Nian Chun Lü.

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Lü, N.C., Li, X.G., Cheng, Y.H. et al. Fracture dynamics problem on mode I semi-infinite crack. Arch Appl Mech 81, 1181–1193 (2011). https://doi.org/10.1007/s00419-010-0476-x

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  • DOI: https://doi.org/10.1007/s00419-010-0476-x

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