Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads

LÜ Nian-chun; CHENG Yun-hong; LI Xin-gang; CHENG Jin

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(10): 1161-1171

LÜ Nian-chun, CHENG Yun-hong, LI Xin-gang, CHENG Jin. Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1161-1171.

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Dynamic Propagation Problems Concerning the Surfaces of Asymmetrical Mode Ⅲ Crack Subjected to Moving Loads

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

Received Date: 2008-05-15
Rev Recd Date: 2008-09-16
Publish Date: 2008-10-15

Abstract

Abstract

By the measures of the theory of complex functions,dynamic propagation problems concerning the surfaces of asymmetrical mode Ⅲ crack subjected to moving loads were investigated.General representations of analytical solutions were obtained by the approaches 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 action of constant moving loads and unit-step moving loads situated at the surfaces of asymmetrical extension crack,respectively,are acquired.By application of those solutions gained and superposition principle,the solutions of discretionarily intricate problems can be attained.
- complex functions,
- asymmetrical mode Ⅲ crack,
- dynamic propagation,
- self-similar function,
- analytical solutions

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References(40)

References

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