Elastic plastic fracture mechanics relies on the finite element method both as an engineering tool to evaluate residual strength
of a damaged structure and to implement research theories that cannot be evaluated analytically. One common formulation assumes
that the crack plane is flat and that the structure is symmetric about the crack plane. This situation arises for typical
laboratory coupons such as the compact tension and middle crack tension specimens. Crack growth is modeled by monitoring analysis
results for a critical fracture criterion, extending the crack, and resuming the analysis. When a symmetry plane corresponds
to the crack-plane, an efficient crack growth procedure called nodal release can be used. A typical implementation reduces to the simultaneous solution of a set of linear equations, each of which corresponds
to a displacement in the body being modeled. The system of equations is symmetric positive definite and sparse. This paper
presents scalable sparse matrix factorization and update techniques required for efficient crack extension using nodal release.
This work has been funded in part by the National Aeronautics and Space Agency through grant NAG-1-01085 and by the National
Science Foundation through grants NSF CCR-981334 and NSF ACI-0102537 and through the Maria Goeppert Mayer Award from the Department
of Energy and the Argonne National Labs. This work was performed by Dr. James when he was an NRC Research Associate at NASA
Langley Research Center, Hampton, VA 23681.