The resemblance between frictional contact problems and elastoplasticity theory is mentioned in order to implement frictional contact problems in the finite element method. The equations used for regularity in frictional contact problems are defined. Then, forming simulations of surface coated steels are performed using a finite element program based on the dynamic explicit method in which a nonlinear friction model is implemented. First, a sliding friction test is simulated to check whether this implementation is successful. Secondly, deep drawing with a rear member die set is carried out to estimate the efficiency of the nonlinear friction model in the actual forming. From these verification, results of numerical simulations using nonlinear friction model strongly coincide with the experimental results.