Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (6): 751-757 .doi: https://doi.org/10.1007/s10483-007-0605-y

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Numerical solutions of singular integral equations for planar rectangular interfacial crack in three dimensional bimaterials

XU Chun-hui, QIN Tai-yan, Nao-Aki Noda   

  • Received:2006-10-20 Revised:2007-03-12 Online:2007-06-18 Published:2007-06-18
  • Contact: QIN Tai-yan

Abstract: Stress intensity factors for a three dimensional rectangular interfacial crack were considered using the body force method. In the numerical calculations, unknown body force densities were approximated by the products of the fundamental densities and power series; here the fundamental densities are chosen to express singular stress fields due to an interface crack exactly. The calculation shows that the numerical results are satisfied. The stress intensity factors for a rectangular interface crack were indicated accurately with the varying aspect ratio, and bimaterial parameter.

Key words: fracture mechanics, singular integral equation., stress intensity factor, body force method, interface crack, composite material

2010 MSC Number: 

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