The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact

På svenska

Author

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.

Publishing year

2000

Language

English

Pages

551-566

Publication/Series

SIAM Journal on Applied Mathematics

Volume

61

Issue

2

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Mathematics

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 0036-1399