Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Influence of elastic T-stress on the growth direction of two parallel cracks

  • Li, X.F. (School of Civil Engineering and Architecture, Central South University) ;
  • Tang, B.Q. (School of Mathematics and Computational Science, Changsha University of Science and Technology) ;
  • Peng, X.L. (School of Civil Engineering and Architecture, Central South University) ;
  • Huang, Y. (School of Civil Engineering and Architecture, Central South University)
  • Received : 2007.04.18
  • Accepted : 2009.11.16
  • Published : 2010.02.20
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Abstract

This paper studies fracture initiation direction of two parallel non-coplanar cracks of equal length. Using the dislocation pile-up modelling, singular integral equations for two parallel cracks subjected to mixed-mode loading are derived and the crack-tip field including singular and non-singular terms is obtained. The kinking angle is determined by using the maximum hoop stress criterion, or the ${\sigma}_{\theta}$-criterion. Results are presented for simple uniaxial tension and biaxial loading. The biaxiality ratio has a noticeable influence on crack growth direction. For the case of biaxial tension, when neglecting the T-stress the crack branching angle is overestimated for small crack inclination angles relative to the largest applied principal stress direction, and underestimated for large crack inclination angles.

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References

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