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Stress Field Gradient Analysis Technique Using Lower-Order C0 Elements
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
For evaluating the stress gradient, a mathematical technique based on the stress field of lower-order C0 elements is developed in this paper.
With nodal stress results and location information, an overdetermined and inconsistent equation of stress gradient is established and the minimum norm least squares solution is obtained by the Moore-Penrose pseudoinverse.
This technique can be applied to any element type in comparison with the superconvergent patch (SCP) recovery for the stress gradient, which requires the quadratic elements at least and has to invert the Jacobi and Hessian matrices.
The accuracy and validity of the presented method are demonstrated by two examples, especially its merit of achieving high accuracy with lower-order linear C0 elements.
This method can be conveniently introduced into the general finite element analysis programs as a postprocessing module.
American Psychological Association (APA)
Xing, Jianwei& Zheng, Gangtie. 2015. Stress Field Gradient Analysis Technique Using Lower-Order C0 Elements. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073876
Modern Language Association (MLA)
Xing, Jianwei& Zheng, Gangtie. Stress Field Gradient Analysis Technique Using Lower-Order C0 Elements. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1073876
American Medical Association (AMA)
Xing, Jianwei& Zheng, Gangtie. Stress Field Gradient Analysis Technique Using Lower-Order C0 Elements. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073876