An incremental laod history

 by J. Jger, Blattwiesentstr. 7, D-76227 Karlsruhe, Germany

Presentation at Euromech 273, La Grande Motte, 1990

Abstract: In this article we present an iterative method of the Gauss-Seidel type for the solution of contact problems with dry friction, which works on IBM Personal computers. This method can be applied to incremental laoding histories, where two bodies are shiftied and twisted withuot  rolling. An example with a contact area consisting of 400 rectangles is presented. The complete set of equations for this examples would need 11.5 Megabytes memory, while our algorithm needs 29 Kilobytes only, The savings of   memory due to symmetry relaltions in the matrix and a Gaussian block iteration with the name Panagiotopoulos process is already implemented in Kalkers program CONTACT (1982). Furthermore, we present a simplified solution and  compare it with our numerical work.