应用数学和力学2024，Vol.45Issue(4)：391-399,9.DOI:10.21656/1000-0887.440299
断裂相场模型的三维自适应有限元方法
A Three-Dimensional Adaptive Finite Element Method for Phase-Field Models of Fracture
摘要
Abstract
A robust predictor-corrector algorithm was developed and a 3D adaptive finite element analysis for the fracture phase-field model was established.This model can deal with complex fracture problems convenient-ly,avoiding extra tracking of crack paths and without mesh-dependency.However,the 3D phase-field modeling usually requires extremely fine meshes,which brings reduction of the solving efficiency.Aimed at this problem,the predictor-corrector adaptive mesh refinement algorithm was developed based on a staggered solution scheme,to achieve high-precision analysis of crack propagation in 3D structures.Numerical examples show that,the developed method can accurately and reasonably describe crack propagation in structures,and the meshes can be adaptively refined along the crack propagation paths.关键词
断裂力学/相场模型/自适应细化/有限元法/三维裂纹Key words
fracture mechanics/phase-field model/adaptive refinement/finite element method/3D crack分类
力学引用本文复制引用
裘沙沙,刘星泽,宁文杰,姚伟岸,段庆林..断裂相场模型的三维自适应有限元方法[J].应用数学和力学,2024,45(4):391-399,9.基金项目
中央高校基本科研业务费(DUT21GF304) （DUT21GF304）
