Abstract
We present a unified treatment of discrete, single-step, time-discretized contact problems with Coulomb friction that include quasistatic and dynamic problems involving rigid or elastic bodies undergoing small or large displacements. A general existence theory for these finite-dimensional problems is established under broad assumptions that are easily satisfied by many special models. The proof is based on a homotopy argument. This result extends many existence results known to date for discrete contact problems.
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