A simple and efficient solution scheme of coupling method between phase field regularized cohesive zone model and linear elastic model for fracture

Abstract

To improve computational efficiency, in this work, a coupling scheme between a phase field regularized cohesive zone model and a linear elastic model is proposed. According to the crack pattern, the entire solution domain is partitioned into different subregions, the phase field regularized cohesive zone model is applied only in the subregion where the crack appears, the linear elastic model is considered in the remaining region, combining the characteristics and advantages of the two models to improve computational efficiency. Secondly, in the light of the similarity between the phase field model governing equation and the heat transfer equation, the analogous relationships for different coefficients are given, and the coupling model is implemented using an equivalent thermal coupling framework, avoiding post-processing of complex element. Finally, the validity of the presented model is verified by some typical examples. The results indicate that the coupling model can be used to study the complex fracture process under different failure modes. Its load displacement response, energy characteristic and crack pattern are in line with that of the pure phase field regularized cohesive zone model and are in agreement with experiment and literature results. Meanwhile, compared to pure phase field model, the proposed coupling model consumes lower time cost.