Phenomenological modeling and numerical simulation of different modes of creep damage evolution

This paper deals with a numerical analysis of creep components until failure. We will take an interest in the macroscopic modeling of the creep curves with its three stages based on the irreversible thermodynamics theory with internal variables. A “unified” viscoplastic model is used to describe primary and secondary creep behaviors, and the tertiary creep description is based on the introduction of a scalar damage variable and the nonlinear effects of changes in geometry. Therefore, viscoplastic damage models in nonlinear geometry are defined in order to describe different modes of creep damage development. The numerical properties of the models allow us to obtain a different crack growth development, in order to know the post-critical behavior and the damage development until failure. The numerical treatment uses the finite element method and the large time increment method in a version adapted to solve nonlinear problems with geometrical nonlinearities, in order to obtain a rapid creep life assessment.