Numerical simulation of cyclic behavior of ductile metals with a coupled damage-viscoplasticity model

► A rate-dependent elasto-viscoplasticity damage model is applied. ► The linear and nonlinear isotropic-kinematic hardening rules are employed. ► The damage variable is applied on the basis of the plastic strain behavior. ► The crack closure effect is employed in the stress-strain constitutive relations. ► The cyclic loading is modeled for ductile metals based on the visco-plasticity model.