Location of Optimal Stress Points in Isogeometric Analysis
| Autor: | Behrooz Hassani, Ahmad Ganjali |
|---|---|
| Jazyk: | perština |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | مجله مدل سازی در مهندسی, Vol 13, Iss 40, Pp 151-167 (2015) |
| Druh dokumentu: | article |
| ISSN: | 2008-4854 2783-2538 |
| DOI: | 10.22075/jme.2017.1710 |
| Popis: | Abstract Isogeomteric Analysis is a newly developed method with some features that can be considered as a potential substitute to other numerical methods such as finite elements and meshless approaches. The NURBS technique, that allows precise geometrical modeling, plays an important role in this method. However, similar to other numerical methods, existence of errors in the approximation of the unknown function is inevitable. This paper is devoted to finding points with higher accuracy in stress recovery by the isogeometric analysis. It can be shown that these points are coincident with the Gauss quadrature points. By making use of these superconvergent points together with the NURBS technique and the least square method, a surface is constructed for each component of the stress tensor that represents the improved stresses. For this purpose, three examples with available analytical results has been solved. The comparison of the obtained improved stresses with the exact solution is used for the sake of verification of the proposed method. It is concluded that the superconvergent points location in the isogeometric analysis are the same as the minimum required Gauss points for the integration of a square element. |
| Databáze: | Directory of Open Access Journals |
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