NURBS-Based Isogeometric Analysis of Beams and Plates Using High Order Shear Deformation Theory. (5th October 2013)

• Record Type: Journal Article
• Authors: Li, Xinkang; Zhang, Jifa; Zheng, Yao
• Other Names: Cen Song Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-10-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/159027
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Isogeometric analysis (IGA) based on nonuniform rational B-splines (NURBS) is developed for static analysis of beams and plates using the third-order shear deformation theory (TSDT). TSDT requires C 1 -continuity of generalized displacements; quadratic, cubic, and quartic NURBS basis functions are utilized to satisfy this requirement. Due to the noninterpolatory nature of NURBS basis functions, a penalty method is presented to enforce the essential boundary conditions. A series of numerical examples of thick and thin beams and plates with different boundary conditions are presented. Results are compared with analytical solutions and other numerical methods. First-order shear deformation theory (FSDT) is also employed and compared with TSDT in the stress analysis. The effects of aspect ratios and boundary conditions are discussed as well.