A Three-Field Variational Formulation for a Frictional Contact Problem with Prescribed Normal Stress

In the present work, we address a nonlinear boundary value problem that models frictional contact with prescribed normal stress between deformable body and foundation. The is nonlinearly elastic, constitutive law being subdifferential inclusion. We deliver three-field variational formulation by means of new approach governed theory bipotentials combined Lagrange-multipliers technique. this approach, unknown mechanical model triple consisting displacement field, Lagrange multiplier related to friction force Cauchy tensor. obtain existence, uniqueness, boundedness convergence results.