Application of Natural Element Method in Numerical Simulation of Crack Propagation
Joint Authors
Weidong, Wang
Cheng, Gang
Gai, Shanshan
Zhang, Dunfu
Source
Advances in Mechanical Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-14
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The properties of interpolation of nodal data, ease of imposing essential boundary conditions, and the computational efficiency are some of the most important advantages of natural element method based on the non-Sibsonian interpolation over other meshless methods based on the moving least squares approximants.
Accurate imposition of essential boundary conditions is accomplished directly by constructing vector of the displacement field by using non-Sibsonian interpolation method, which is based on the Voronoi diagram and its dual Delaunay tessellation.
The discrete control equations of natural element method are developed by utilizing the variational principle of elastic theory and combining the natural element method with the theory of the linear elastic fracture mechanics.
Without the connectivity information of elements, the burdensome remeshing, which is used in finite element method, is avoided in the present natural element method.
The analysis of crack propagation is simplified dramatically.
The numerical examples reveal the advantages and effectiveness of the present method.
American Psychological Association (APA)
Weidong, Wang& Cheng, Gang& Zhang, Dunfu& Gai, Shanshan. 2013. Application of Natural Element Method in Numerical Simulation of Crack Propagation. Advances in Mechanical Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-454506
Modern Language Association (MLA)
Weidong, Wang…[et al.]. Application of Natural Element Method in Numerical Simulation of Crack Propagation. Advances in Mechanical Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-454506
American Medical Association (AMA)
Weidong, Wang& Cheng, Gang& Zhang, Dunfu& Gai, Shanshan. Application of Natural Element Method in Numerical Simulation of Crack Propagation. Advances in Mechanical Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-454506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454506