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NURBS-Based Isogeometric Analysis of Beams and Plates Using High Order Shear Deformation Theory

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  • Xinkang Li
  • Jifa Zhang
  • Yao Zheng

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.

Suggested Citation

  • Xinkang Li & Jifa Zhang & Yao Zheng, 2013. "NURBS-Based Isogeometric Analysis of Beams and Plates Using High Order Shear Deformation Theory," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:159027
    DOI: 10.1155/2013/159027
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