Numerical Implementation of Transitional Element-Based PD-FEM Coupling Model

The coupling of Peridynamics (PD) and FEM offers a promising approach for addressing discontinuities in continua by leveraging the strengths of both methods.However, its numerical implementation remains a key challenge for practical applications.Building upon our previously proposed PD-FEM coupling model based on transitional elements, this paper focuses on the numerical realization of the approach.The coupling method comprehensively considers modelling, computation, and post-processing, making it highly suitable for numerical implementation.The entire model is formulated in a unified finite element framework, where different regions are computed using native Abaqus elements or user-defined element subroutines (UEL), with post-processing and visualization performed through the UMAT subroutine.Implemented entirely in Abaqus, this approach offers a significantly more straightforward and practical solution compared with other methods.Comparisons and case studies confirm the model's accuracy, effectiveness, and capability in tracking complex crack propagation, highlighting its engineering potential.