Crack propagation modeling

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 67)


Fracture-related damage is estimated at more than $10 billion annually in the United States. It is a major safety concern for airline industries, electric utilities, off-shore oil recovery operations, and many other industries. Computational simulation of crack propagation should be useful for the analysis of existing problems, and for the design of structures more resistant to failure. However, the finite element method requires a difficult and time consuming rediscretization of the entire volume as the crack evolves, and the standard “multidomain” boundary integral approach also suffers from remeshing problems. On October 15, 1993 Leonard J. Gray from Oak Ridge National Laboratory presented a boundary integral algorithm which only requires remeshing of the crack surface. This method is based upon employing the hypersingular integral equation for surface traction in conjunction with the original boundary integral relation for surface displacement. He discussed the computation of the strongly singular terms, and presented some applications. This is ongoing work with A.R. Ingraffea, L.F. Martha, E.D. Lutz, P.A. Wawrzynck and D.O. Potyondy from Cornell; much of it appeared in [1] and [2].


Integral Equation Boundary Element Method Energy Release Rate Singular Term Dimensional Fracture 
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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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