Structural Engineering and Mechanics
Volume 34, Number 3, 2010, pages 377-390
DOI: 10.12989/sem.2010.34.3.377
Influence of elastic T-stress on the growth direction of two parallel cracks
X.-F. Li , B.-Q. Tang , X.-L. Peng , Y. Huang
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 e-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 Tstress 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.
Key Words
crack kinking angle; T-stress; crack growth; biaxiality ratio.
Address
- X.-F. Li — School of Civil Engineering and Architecture, Central South University, Changsha 410075, China
- B.-Q. Tang — School of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410114, China
- X.-L. Peng — School of Civil Engineering and Architecture, Central South University, Changsha 410075, China
- Y. Huang — School of Civil Engineering and Architecture, Central South University, Changsha 410075, China
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