Fracture dynamics problems of mode I semi-infinite crack for anisotropic orthotropic body |
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Authors: | N. C. Lü Y. H. Cheng X. G. Li J. Cheng |
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Affiliation: | 1.School of Material Science and Engineering,Shenyang Ligong University,Shenyang,P.R. China;2.Department of Civil Engineering,Northeastern University,Shenyang,P.R. China;3.Department of Astronautics and Mechanics,Harbin Institute of Technology,Harbin,P.R. China;4.School of Civil Engineering,Harbin Engineering University,Harbin,P.R. China |
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Abstract: | By means of the theory of complex functions, fracture dynamics problems of mode I semi- infinite crack for anisotropic orthotropic body were researched. Analytical solutions of stress, displacement, and dynamic stress intensity factor under the action of moving increasing loads Px 3/t 3, Pt 4/x 3, respectively, are very easily obtained utilizing the approaches of self-similar functions. In the light of relevant material’s coefficients, the alterable rule of dynamic stress intensity factor was depicted very well. The correlative closed solutions are attained based on the Riemann–Hilbert problems. After those analytical solutions were applied by the superposition principle, the solutions of discretional complex problems could be attained. |
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