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

Abstract EN

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 C1-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.