Yoon-Nam An, Joo-Sung Lee, Myung-Il Roh, Bum-Sang Yoon, Kyoung-Sik Chang, "Parametric Study of Isogeometric Analysis Using NURBS", Proceedings of the 23rd Asian-Pacific TEAM(Technical Exchange and Advisory Meeting on Marine Structures) 2009, Kaohsiung, Taiwan, pp. 169-173, 2009.11.30-12.03
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|In the present work, isogeometric analysis in 3D linear elasticity problem is conducted using the basis functions from NURBS. The objective of isogeometric analysis introduced by Hughes is to integrate both geometric modeling (CAD) and computational analysis (CAE). This can be accomplished from direct usage of geometric modeling by NURBS as the computational mesh that means isogeometric analysis. NURBS surface are able to represent exact geometry from the control points and knot vectors. Also subsequent refinement is so simple relatively. The test geometry is the solid circular cylinder subjected to the constant internal pressure loading and the results are compared with the exact solution. Quadratic, cubic and quartic NURBS are considered. After generating the circular cylinder geometry based on the control points and knot vectors, the effects of the knot insertion (h-refinement) and the order elevation of the basis (p-refinement) are investigated. Meshes produced by h-refinement and the contours of the radial displacement are presented. The convergence rate of the calculated variables is checked with respect to
some discretization orders and various mesh sizes.