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The paper deals with the formulation, approximation and numerical realization of a constrained hemivariational inequality describing the behavior of two elastic bodies in mutual contact, taking into account a nonmonotone friction law on a contact surface. The original hemivariational inequality is transformed into a problem of finding substationary points of a nonconvex, locally Lipschitz continuous function representing the discrete total potential energy functional. The resulting discrete problem is solved by using a nonsmooth variant of the Newton method. Numerical results of a model example are shown.

This contribution deals with the simple planar asymmetric pin-connected truss with 3 members. The ways and methods of derivations and solutions according to theories of first and second order and other possible linearizations are shown (i.e. internal forces, reactions, elongations, stresses). There are applied linear and nonlinear approaches and their simplifications via Taylor's series. Finally, the errors of all approaches are evaluated and compared.

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