Open Access
ARTICLE
Improved Staggered Algorithm for Phase-Field Brittle Fracture with the Local Arc-Length Method
Zhijian Wu, Li Guo*, Jun Hong
Jiangsu Key Laboratory of Engineering Mechanics, Department of Engineering Mechanics, School of Civil Engineering, Southeast
University, Nanjing, 214135, China
* Corresponding Author: Li Guo. Email:
(This article belongs to this Special Issue: Numerical Methods in Engineering Analysis, Data Analysis and Artificial Intelligence)
Computer Modeling in Engineering & Sciences 2023, 134(1), 611-636. https://doi.org/10.32604/cmes.2022.020694
Received 07 December 2021; Accepted 06 February 2022; Issue published 24 August 2022
Abstract
The local arc-length method is employed to control the incremental loading procedure for phase-field brittle
fracture modeling. An improved staggered algorithm with energy and damage iterative tolerance convergence
criteria is developed based on the residuals of displacement and phase-field. The improved staggered solution
scheme is implemented in the commercial software ABAQUS with user-defined element subroutines. The layered
system of finite elements is utilized to solve the coupled elastic displacement and phase-field fracture problem. A
one-element benchmark test compared with the analytical solution was conducted to validate the feasibility and
accuracy of the developed method. Our study shows that the result calculated with the developed method does
not depend on the selected size of loading increments. The results of several numerical experiments show that the
improved staggered algorithm is efficient for solving the more complex brittle fracture problems.
Keywords
Cite This Article
Wu, Z., Guo, L., Hong, J. (2023). Improved Staggered Algorithm for Phase-Field Brittle Fracture with the Local Arc-Length Method.
CMES-Computer Modeling in Engineering & Sciences, 134(1), 611–636.