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An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact

Författare

Summary, in English

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.

Publiceringsår

2000

Språk

Engelska

Sidor

551-566

Publikation/Tidskrift/Serie

SIAM Journal on Applied Mathematics

Volym

61

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

Society for Industrial and Applied Mathematics

Ämne

  • Mathematics

Nyckelord

  • cracks
  • contact
  • contact zone
  • integral equations of Fredholm type
  • numerical methods
  • linear elasticity

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0036-1399