Reduced basis approximation and a posteriori error estimation for stress intensity factors

Authors

  • D. B. P. Huynh,

    1. National University of Singapore, Singapore-MIT Alliance, Singapore
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  • A. T. Patera

    Corresponding author
    1. Massachusetts Institute of Technology, Department of Mechanical Engineering, 77 Mass. Ave., Cambridge, MA 02139, U.S.A.
    • Massachusetts Institute of Technology, Department of Mechanical Engineering, Room 3-266, 77 Mass. Ave., Cambridge, MA 02139, U.S.A.
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Abstract

We develop reduced basis approximations, rigorous a posteriori error bounds, and offline–online computational procedures for the accurate, fast, and reliable prediction of stress intensity factors or strain energy release rates for ‘Mode I’ linear elastic crack problems relevant to fracture mechanics. We demonstrate the efficiency and rigor of our numerical method in several examples. Copyright © 2007 John Wiley & Sons, Ltd.

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