The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method
Joint Authors
Hong, Wang
Qing, Zhang
XiaoZhou, Xia
Qun, Jiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In the frame of the extended finite element method, the exponent disconnected function is introduced to reflect the discontinuous characteristic of crack and the crack tip enrichment function which is made of triangular basis function, and the linear polar radius function is adopted to describe the displacement field distribution of elastoplastic crack tip.
Where, the linear polar radius function form is chosen to decrease the singularity characteristic induced by the plastic yield zone of crack tip, and the triangle basis function form is adopted to describe the displacement distribution character with the polar angle of crack tip.
Based on the displacement model containing the above enrichment displacement function, the increment iterative form of elastoplastic extended finite element method is deduced by virtual work principle.
For nonuniform hardening material such as concrete, in order to avoid the nonsymmetry characteristic of stiffness matrix induced by the non-associate flowing of plastic strain, the plastic flowing rule containing cross item based on the least energy dissipation principle is adopted.
Finally, some numerical examples show that the elastoplastic X-FEM constructed in this paper is of validity.
American Psychological Association (APA)
XiaoZhou, Xia& Qing, Zhang& Hong, Wang& Qun, Jiang. 2013. The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1031699
Modern Language Association (MLA)
XiaoZhou, Xia…[et al.]. The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1031699
American Medical Association (AMA)
XiaoZhou, Xia& Qing, Zhang& Hong, Wang& Qun, Jiang. The Numerical Simulation of the Crack Elastoplastic Extension Based on the Extended Finite Element Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1031699
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031699