An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions

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	An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions
	Wang, DD ; Xuan, JC ; Wang DD(王东东)
刊名	http://dx.doi.org/10.1016/j.cma.2010.03.032
	2010
关键词	FLUID-STRUCTURE INTERACTION KERNEL PARTICLE METHODS FREE GALERKIN METHOD MESH-FREE METHODS FINITE-ELEMENTS BLOOD-FLOW IMPLEMENTATION APPROXIMATIONS COMPUTATION FORMULATION
英文摘要	National Natural Science Foundation of China [10972188, 10602049]; China Education Ministry [NCET-09-0678]; The NURBS-based isogeometric analysis offers a seamless integration between the CAD and subsequent finite element analysis and has been shown to be very effective for wide classes of problems due to its accurate geometric description However, similar to the moving least square or reproducing kernel meshfree shape functions, the NURBS basis functions generally are not interpolatory functions. In this work it is shown that the direct imposition of the inhomogeneous essential boundary conditions to the NURBS control points may lead to significant errors with deteriorated rates of convergence Consequently an improved formulation for NURBS-based isogeometric analysis is proposed This is fulfilled by employing a transformation method that relates the control variables to the collocated nodal values at the essential boundary By using open knot vectors, the resulting NURBS basis functions associated with the interior control points vanish at the boundary Thus unlike the meshfree approximation, the NURBS control points can be clearly partitioned into boundary and interior groups Therefore the transformation method can be only applied to the boundary control points via invoking collocation of physical values at a set of boundary points The NURBS approximation enhanced with transformed physical boundary variables is kinematically admissible and the essential boundary conditions can be enforced straightforwardly like the finite element method Several potential and elasticity problems evince that much higher solution accuracy with optimal convergence rates can be achieved by the present improved formulation compared with the method with direct imposition of essential boundary conditions to control variables. (C) 2010 Elsevier B.V All rights reserved
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64812]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Wang, DD,Xuan, JC,Wang DD. An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions[J]. http://dx.doi.org/10.1016/j.cma.2010.03.032,2010.
APA	Wang, DD,Xuan, JC,&王东东.(2010).An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions.http://dx.doi.org/10.1016/j.cma.2010.03.032.
MLA	Wang, DD,et al."An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions".http://dx.doi.org/10.1016/j.cma.2010.03.032 (2010).