On Smooth Finite Element Discretizations for Frictional Contact Problems

2D frictional polynomial node to segment contact elements are developed using the Mathematica SMS (Symbolic Mechanics System) package. The weak formulation and the penalty method are used for the description of large deformation frictional contact problems. Presented approach, based on non‐associated frictional law and elastic‐plastic tangential slip decomposition, is resulting into the quadratic rate of convergence within Newton‐Raphson iteration loop.