A New and Efficient Boundary Element-Free Method for 2-D Crack Problems
Joint Authors
Yue, Jin-Chao
Chang, Liwu
Sun, Yuzhou
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An efficient boundary element-free method is established for 2-D crack problems by combining a pair of boundary integral equations and the moving-least square approximation.
The displacement boundary integral equation is collated on the on-crack boundary, and a new traction boundary integral equation is applied on the crack surface without the separate consideration of the upper and lower sides.
In virtue of integration by parts, only singularity in order 1/r is involved in the integral kernels of new traction boundary integral equation, which brings convenience to the numerical implementation.
Meanwhile, the integration by parts produces the new variables, the displacement density, and displacement dislocation density, and they are the coexisting unknowns along with the displacement and displacement dislocation.
With the high-order continuity of the moving-least square approximation, these new variables are directly approximated with the nodal displacement or displacement dislocation, and the final system of equations contains the unknowns of nodal displacements and displacement dislocations only.
The boundary element-free computational scheme is established, and several examples show the efficiency and flexibility of the proposed method.
American Psychological Association (APA)
Yue, Jin-Chao& Chang, Liwu& Sun, Yuzhou. 2017. A New and Efficient Boundary Element-Free Method for 2-D Crack Problems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1189682
Modern Language Association (MLA)
Yue, Jin-Chao…[et al.]. A New and Efficient Boundary Element-Free Method for 2-D Crack Problems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1189682
American Medical Association (AMA)
Yue, Jin-Chao& Chang, Liwu& Sun, Yuzhou. A New and Efficient Boundary Element-Free Method for 2-D Crack Problems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1189682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189682