An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact

نویسندگان

  • Gunnar Peters
  • Johan Helsing
چکیده

An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certain contact inequalities. The location of a priori unknown contact zones and the solutions to the field equations must be determined simultaneously. The algorithm is based on a rapidly converging sequence of relaxed Fredholm integral equations of the second kind in which the contact problem is viewed as a perturbation of a noncontacting crack problem. The algorithm exhibits great stability and speed. The numerical results are orders-of-magnitudes more accurate than those of previous investigators.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2000