Adaptive coupling peridynamic least-square minimization with finite element method for fracture analysis

TL;DR

This paper introduces an adaptive coupling of peridynamic least-square minimization with finite element method to efficiently analyze crack propagation, achieving improved computational efficiency and accurate fracture predictions in 2D and 3D problems.

Contribution

The work presents a novel adaptive PDLSM-FEM coupling method that minimizes the PD region and applies it to quasi-static crack propagation analysis.

Findings

Significant reduction in computational cost.

Reasonable accuracy in crack propagation prediction.

Effective application to 2D and 3D fracture problems.

Abstract

This study presents an adaptive coupling peridynamic least-square minimization with the finite element method (PDLSM-FEM) for fracture analysis. The presented method utilizes the PDLSM modeling discontinuities while maximizing the FEM region for computational efficiency. Within the presented adaptive PDLSM-FEM, only elements intersecting with the crack path and their neighboring elements are defined as PD elements, whose stiffness matrices are derived based on PDLSM equations. The remaining elements are conventional finite elements. Numerical integration of interaction integral is proposed and implemented to evaluate the stress intensity factors (SIFs) for 2-D problems. The criterion of maximum hoop tensile stress is employed for failure prediction. New contributions of this work include the adaptive coupling of PDLSM with FEM for minimizing the PD region and the application of the adaptive PDLSM-FEM to quasi-static crack propagation analysis. Simulations of three 2-D plane stress plates and one 3-D block with static or quasi-static cracks propagation are performed. Results show the proposed method improves computational efficiency substantially and has reasonable accuracy and good capability of crack propagation prediction.