An incremental laod history
by J. Jäger, 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.