A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics
Joint Authors
Chen, L.
Vu-Bac, N.
Liu, G. R.
Lee, C. K.
Rabczuk, Timon
Zhuang, Xiaoying
Zi, Goangseup
Nguyen-Xuan, Hung
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics.
In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements.
This approach is quite simple to implement into existing explicit finite element programs.
The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes.
The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh.
The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM).
Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method.
Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.
American Psychological Association (APA)
Vu-Bac, N.& Nguyen-Xuan, Hung& Chen, L.& Lee, C. K.& Zi, Goangseup& Zhuang, Xiaoying…[et al.]. 2013. A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-513005
Modern Language Association (MLA)
Vu-Bac, N.…[et al.]. A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-513005
American Medical Association (AMA)
Vu-Bac, N.& Nguyen-Xuan, Hung& Chen, L.& Lee, C. K.& Zi, Goangseup& Zhuang, Xiaoying…[et al.]. A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-513005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513005