Asymmetrical Dynamic Propagation Problems on Mode Ⅲ Interface Crack

Lü Nian-chun; YANG Ding-ning; CHENG Yun-hong; CHENG Jin

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Lü Nian-chun, YANG Ding-ning, CHENG Yun-hong, CHENG Jin. Asymmetrical Dynamic Propagation Problems on Mode Ⅲ Interface Crack[J]. Applied Mathematics and Mechanics, 2007, 28(4): 453-461.

Citation:

Lü Nian-chun, YANG Ding-ning, CHENG Yun-hong, CHENG Jin. Asymmetrical Dynamic Propagation Problems on Mode Ⅲ Interface Crack[J]. Applied Mathematics and Mechanics, 2007, 28(4): 453-461.

Citation:

Lü Nian-chun, YANG Ding-ning, CHENG Yun-hong, CHENG Jin. Asymmetrical Dynamic Propagation Problems on Mode Ⅲ Interface Crack[J]. Applied Mathematics and Mechanics, 2007, 28(4): 453-461.

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Asymmetrical Dynamic Propagation Problems on Mode Ⅲ Interface Crack

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

Received Date: 2005-06-20
Rev Recd Date: 2007-01-23
Publish Date: 2007-04-15

Abstract

Abstract

By application of the theory of complex functions, asymmetrical dynamic propagation problems on mode Ⅲ interface crack are studied. The universal representations of analytical solutions are obtained by the approaches of self-similar functions. The problems researched can be facilely transformed into Riemann-Hilbert problems and analytical solutions to an asymmetrical propagation crack under the condition of point loads and unit-step loads, respectively, are acquired. After those solutions were used by superposition theorem, the solutions of arbitrarily complex problems could be attained.
- complex functions,
- mode Ⅲ interface crack,
- self-similar function,
- analytical solutions

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References(34)

References

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