An efficient augmented finite element method for arbitrary cracking and crack interaction in solids | |
Liu, W. ; Yang, Q. D. ; Mohammadizadeh, S. ; Su, X. Y. | |
刊名 | 国际工程数值法杂志 |
2014 | |
关键词 | composites finite element methods fracture stability damage ASSUMED STRAIN METHODS COHESIVE-ZONE MODELS STRONG DISCONTINUITIES COMPOSITE-MATERIALS LOCALIZED FAILURE ADHESIVE JOINTS DYNAMIC CRACK II FRACTURE MESH SIZE PROPAGATION |
DOI | 10.1002/nme.4697 |
英文摘要 | This paper presents an augmentation method that enables bilinear finite elements to efficiently and accurately account for arbitrary, multiple intra-elemental discontinuities in 2D solids. The augmented finite element method (A-FEM) employs four internal nodes to account for the crack displacements due to an intra-elemental weak or strong discontinuity, and it permits repeated elemental augmentation to include multiple interactive cracks. It thus enables a unified treatment of damage evolution from a weak discontinuity to a strong discontinuity, and to multiple interactive cohesive cracks, all within a single bilinear element that employs standard external nodal DoFs only. A novel elemental condensation procedure has been developed to solve the internal nodal DoFs as functions of the external nodal DoFs for any irreversible, piece-wise linear cohesive laws. It leads to a fully condensed elemental equilibrium equation with mathematical exactness, eliminating the need for nonlinear equilibrium iterations at elemental level. The new A-FEM's high-fidelity simulation capabilities to interactive cohesive crack formation and propagation in homogeneous, and heterogeneous solids have been demonstrated through several challenging numerical examples. It is shown that the proposed A-FEM, empowered by the new elemental condensation procedure, is numerically very efficient, accurate, and robust. Copyright (C) 2014 John Wiley & Sons, Ltd.; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; SCI(E); EI; 2; ARTICLE; qdyang@miami.edu; 6; 438-468; 99 |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/209647] |
专题 | 工学院 |
推荐引用方式 GB/T 7714 | Liu, W.,Yang, Q. D.,Mohammadizadeh, S.,et al. An efficient augmented finite element method for arbitrary cracking and crack interaction in solids[J]. 国际工程数值法杂志,2014. |
APA | Liu, W.,Yang, Q. D.,Mohammadizadeh, S.,&Su, X. Y..(2014).An efficient augmented finite element method for arbitrary cracking and crack interaction in solids.国际工程数值法杂志. |
MLA | Liu, W.,et al."An efficient augmented finite element method for arbitrary cracking and crack interaction in solids".国际工程数值法杂志 (2014). |
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