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Asymmetrical Dynamic Propagation Problem on the Edges of Mode III Interface Crack Subjected to Superimpose Loads

Published online by Cambridge University Press:  29 January 2013

N.-C. Lü ,
X.-G. Li ,
Y.-H. Cheng  and
J. Cheng
N.-C. Lü
Affiliation:
School of Material Science and Engineering, Shenyang Ligong University, Shenyang 110159, P R, China Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P R, China
X.-G. Li
Affiliation:
School of Civil Engineering, Harbin Engineering University, Harbin 150001, P R, China
Y.-H. Cheng*
Affiliation:
Department of Civil Engineering, Northeastern University, Shenyang 110006, P R, China
J. Cheng
Affiliation:
Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P R, China
*
*Corresponding author ([email protected])
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Abstract

By application of the theory of complex variable functions, asymmetrical dynamic propagation problem on the edges of mode III interface crack subjected to superimpose loads was studied. Analytical solutions of the stresses displacements and dynamic stress intensity factors are obtained by means of self- similar functions. The problems researched can be facilely transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple according to this measure. After those solutions are utilized by superposition theorem, the solutions of arbitrarily complex problems can be gained.

Keywords

Complex variable functionsMode III interface crackAsymmetrical dynamic propagationSelf- similar functionAnalytical solutions
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 319 - 326
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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