On solution multiplicity in friction problems with normal compliance

This work is concerned with the normal compliance model and friction in linear elastostatics. We consider the two-dimensional sliding problem and we seek those interface parameters leading to infinitely many solutions of the continuous and the finite element discretized problem. The determination of the interface parameters uses a specific eigenvalue problem. In the discrete case the framework is illustrated with an elementary example and some finite element computations.  2004 Elsevier Inc. All rights reserved