Fracture dynamics problem on mode I semi-infinite crack |
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Authors: | Nian Chun Lü Xin Gang Li Yun Hong Cheng Jin Cheng |
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Affiliation: | (1) School of Material Science and Engineering, Shenyang Ligong University, Shenyang, 110168, P.R. China;(2) Department of Civil Engineering, Northeastern University, Shenyang, 110006, P.R. China;(3) School of Civil Engineering, Harbin Engineering University, Harbin, 150001, P.R. China;(4) Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin, 150001, P.R. China |
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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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