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Three-Dimensional Mode Separation to Obtain Stress Intensity Factors

[+] Author Affiliations
Pei Gu

MSC.Software Corporation, San Diego, CA

R. J. Asaro

University of California at San Diego, La Jolla, CA

Paper No. PVP2006-ICPVT-11-93249, pp. 5-10; 6 pages
doi:10.1115/PVP2006-ICPVT-11-93249
From:
  • ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference
  • Volume 2: Computer Technology
  • Vancouver, BC, Canada, July 23–27, 2006
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-4753-5 | eISBN: 0-7918-3782-3
  • Copyright © 2006 by ASME

abstract

For mixed-mode loading at a crack tip under small-scale yielding condition, mode I, mode II and mode III stress intensity factors control the crack propagation. This paper discusses three-dimensional mode separation to obtain the three stress intensity factors using the interaction integral approach. The 2D interaction integral approach to obtain mode I and mode II stress intensity factors is derived to 3D arbitrary crack configuration for mode I, mode II and mode III stress intensity factors. The method is implemented in a finite element code using domain integral method and numerical examples show good convergence for the domains around the crack tip. A complete solution for the three stress intensity factors is obtained for a bar with inclined crack face to the cross-section from numerical calculations. The solution for the bar is plotted into curves in terms of a set of non-dimensional parameters for practical engineering purpose. From the solution, mode mixity along the crack front and its implication to the direction of crack propagation is discussed.

Copyright © 2006 by ASME

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