An adaptive coupling method of state-based peridynamics theory and finite element method for modeling progressive failure process in cohesive materials

Abstract

In this study, an adaptive coupling method is proposed for the combination of the state-based peridynamics theory (PD) and the classical finite element method (FEM). The non-local PD theory is used for dealing with localized cracking process while the FEM is adopted for modeling elastic (or plastic) problems without localization. The evolving boundary between cracking domain and the elastic or plastic domain without localization is taken into account. A new bond damage model is implemented into the ordinary state-based PD theory, by considering the progressive degradation of bond strength and residual strength. The proposed coupling method and bond damage model are implemented in MATLAB framework. The accuracy of the PD-FEM coupling method is verified by the analytical solutions in elastic cases. The efficiency of the new bond damage model implemented in the adaptive PD-FEM coupling method for modeling the progressive failure process in cohesive materials is clearly validated through a series of representative laboratory tests on concrete structures.