This paper presents the appliction of a remeshing algorithm to solution of elastic-plastic torsion of bars with isotropic strain hardening. The remeshing algorithm uses a grid generator with mesh size function . The method of grid generation is based on a coupling of the advancing front method and the Delaunay triangulation. The optimal mesh size for the posed problem is obtained iteratively. For the consequtive steps of the adaptation algorithm error indicators at nodes and in elements are used for mesh size modification. The discretized system of nonlinear algebraic equations is solved by the application of the Newton-Raphson method.