A consistently coupled isogeometric-meshfree method

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	A consistently coupled isogeometric-meshfree method
	Wang, Dongdong ; Zhang, Hanjie ; Wang DD(王东东)
刊名	http://dx.doi.org/10.1016/j.cma.2013.10.014
	2014
关键词	KERNEL PARTICLE METHODS FLUID-STRUCTURE INTERACTION ELEMENT-METHOD NEFEM FINITE-ELEMENTS WIND TURBINES T-SPLINES NURBS APPROXIMANTS ELASTICITY VIBRATION
英文摘要	National Natural Science Foundation of China [11222221]; A consistently coupled isogeometric-meshfree method is presented. This method takes advantage of the geometry exactness of isogeometric analysis and the refinement flexibility of meshfree method. The coupling of isogeometric approximation and meshfree approximation is based upon the reproducing or consistency conditions which are crucial for the coupled method to achieve the expected optimal convergence rates. It is shown that unlike the reproducing kernel meshfree shape functions which satisfy the reproducing conditions with the nodal points as the reproducing locations, the monomial reproducing points for different orders of B-spline basis functions in isogeometric analysis are different and consequently a rational method is proposed to compute these reproducing points. Both theoretical proof and computational justification of the reproducing conditions for B-spline basis functions are given. Subsequently within the framework of reproducing conditions, a mixed reproducing point vector is proposed to ensure arbitrary order monomial reproducibility for both B-spline basis functions and reproducing kernel meshfree shape functions, which leads to a consistently coupled approximation with smoothing transition between B-spline basis functions and reproducing kernel meshfree shape functions. Consequently a coupled isogeometric-meshfree method is established with the Galerkin formulation. The effectiveness of the proposed coupled isogeometric-meshfree method is demonstrated through a series of benchmark numerical examples. (C) 2013 Elsevier B.V. All rights reserved.
语种	英语
出版者	ELSEVIER SCIENCE SA
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/90024]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Wang, Dongdong,Zhang, Hanjie,Wang DD. A consistently coupled isogeometric-meshfree method[J]. http://dx.doi.org/10.1016/j.cma.2013.10.014,2014.
APA	Wang, Dongdong,Zhang, Hanjie,&王东东.(2014).A consistently coupled isogeometric-meshfree method.http://dx.doi.org/10.1016/j.cma.2013.10.014.
MLA	Wang, Dongdong,et al."A consistently coupled isogeometric-meshfree method".http://dx.doi.org/10.1016/j.cma.2013.10.014 (2014).