Improved Staggered Algorithm for Phase-Field Brittle Fracture with the Local Arc-Length Method  

作　　者：Zhijian Wu Li Guo Jun Hong 

机构地区：[1]Jiangsu Key Laboratory of Engineering Mechanics,Department of Engineering Mechanics,School of Civil Engineering,Southeast University,Nanjing,214135,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第1期611-636,共26页工程与科学中的计算机建模（英文）

基　　金：supports by the National Key R&D Program of China(No.2018YFD1100401);the National Natural Science Foundation of China(No.51578142);the Fundamental Research Funds for the Central Universities(No.LEM21A03);Jiangsu Key Laboratory of Engineering Mechanics(Southeast University)are gratefully acknowledged.

摘　　要：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.

关 键 词：Phase-field model brittle fracture crack propagation ABAQUS subroutine staggered algorithm 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]