Details
| Original language | English |
|---|---|
| Pages (from-to) | 344-368 |
| Number of pages | 25 |
| Journal | Engineering Fracture Mechanics |
| Volume | 209 |
| Early online date | 1 Feb 2019 |
| Publication status | Published - 15 Mar 2019 |
Abstract
The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of cracks. This paper further investigates the extended finite element method (XFEM) for the simulation of large strain fracture for hyper-elastic materials, in particular rubber ones. A crucial idea is to use a polygonal mesh to represent space of the present numerical technique in advance, and then a local refinement of structured meshes at the vicinity of the discontinuities is additionally established. Due to differences in the size and type of elements at the boundaries of those two regions, hanging nodes produced in the modified mesh are considered as normal nodes in an arbitrarily polygonal element. Conforming these special elements becomes straightforward by the flexible use of basis functions over polygonal elements. Results of this study are shown through several numerical examples to prove its efficiency and accuracy through comparison with former achievements.
Keywords
- Hanging nodes, Large fracture deformation, Level set, Polygonal elements, XFEM
ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Engineering Fracture Mechanics, Vol. 209, 15.03.2019, p. 344-368.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An extended polygonal finite element method for large deformation fracture analysis
AU - Huynh, Hai D.
AU - Tran, Phuong
AU - Zhuang, Xiaoying
AU - Nguyen-Xuan, Hung
N1 - Funding information: This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.01-2018.32. The support provided by RISE-project BESTOFRAC (734370)–H2020 is gratefully acknowledged.
PY - 2019/3/15
Y1 - 2019/3/15
N2 - The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of cracks. This paper further investigates the extended finite element method (XFEM) for the simulation of large strain fracture for hyper-elastic materials, in particular rubber ones. A crucial idea is to use a polygonal mesh to represent space of the present numerical technique in advance, and then a local refinement of structured meshes at the vicinity of the discontinuities is additionally established. Due to differences in the size and type of elements at the boundaries of those two regions, hanging nodes produced in the modified mesh are considered as normal nodes in an arbitrarily polygonal element. Conforming these special elements becomes straightforward by the flexible use of basis functions over polygonal elements. Results of this study are shown through several numerical examples to prove its efficiency and accuracy through comparison with former achievements.
AB - The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of cracks. This paper further investigates the extended finite element method (XFEM) for the simulation of large strain fracture for hyper-elastic materials, in particular rubber ones. A crucial idea is to use a polygonal mesh to represent space of the present numerical technique in advance, and then a local refinement of structured meshes at the vicinity of the discontinuities is additionally established. Due to differences in the size and type of elements at the boundaries of those two regions, hanging nodes produced in the modified mesh are considered as normal nodes in an arbitrarily polygonal element. Conforming these special elements becomes straightforward by the flexible use of basis functions over polygonal elements. Results of this study are shown through several numerical examples to prove its efficiency and accuracy through comparison with former achievements.
KW - Hanging nodes
KW - Large fracture deformation
KW - Level set
KW - Polygonal elements
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=85061058997&partnerID=8YFLogxK
U2 - 10.1016/j.engfracmech.2019.01.024
DO - 10.1016/j.engfracmech.2019.01.024
M3 - Article
AN - SCOPUS:85061058997
VL - 209
SP - 344
EP - 368
JO - Engineering Fracture Mechanics
JF - Engineering Fracture Mechanics
SN - 0013-7944
ER -