This study presents a formulation method for implementing a material constitutive model using a memory surface in finite element analysis, capable of accurately reproducing the cyclic hardening and softening behavior of SN490B structural steel under constant strain amplitude. The formulation employs an implicit discretization method, specifically the backward Euler method. For solving plastic multipliers, elastic predictors and plastic correctors are used. Additionally, to ensure the convergence and stability of the nonlinear analysis, the derivation of the consistent tangent modulus tensor is demonstrated. The validity of the modeling method was verified through finite element analysis.