Abstract
Dynamic and static frictional contact problems are described using the normal compliance law on the contact boundary. Dynamic problems are recast into quasistatic problems by time discretization. An a posteriori error estimator is developed for a nonlinear elliptic equation of corresponding static or quasistatic problems. The a posteriori error estimator is applied to a frictionless case and extended to frictional contact problems. Also an adaptive strategy is introduced and h- p finite element meshes are obtained through a procedure based on a priori and a posteriori error estimations. Numerical examples are given to support the theoretical results.
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