Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications

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	Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications
	WANG, HP ; WANG, DD ; Wang DD(王东东)
刊名	http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000026
	2009-10
关键词	KERNEL PARTICLE METHODS FREE GALERKIN METHOD COLLOCATION METHOD MESHLESS METHODS FINITE-ELEMENT IMPLEMENTATION FORMULATION ENRICHMENT CONTACT
英文摘要	National Natural Science Foundation of China [10602049]; Program for New Century Excellent Talents in Fujian Province University of China; This paper presents a fast treatment of essential boundary conditions in three-dimensional (3D) meshfree computation for computational efficiency. Due to the loss of Kronecker delta properties in the meshfree shape functions, the imposition of essential boundary conditions is tedious, especially in 3D applications. The proposed boundary singular kernel (BSK) method introduces singularities to the kernel functions associated with the essential and kinematically constrained boundary nodes so that the corresponding coefficients of the singular kernel shape functions recover nodal values, and consequently constraints can be imposed directly. In this work, the recovery of nodal value properties on essential boundary nodes is proved for general n-dimensional geometries. The extension of previously proposed two-dimensional BSK method to 3D formulation thus becomes straightforward, and essential boundary treatment consumes almost no additional cost to meshfree computation and makes the method affordable for industrial applications. The effectiveness of the proposed method is demonstrated in 3D metal forming examples.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64817]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	WANG, HP,WANG, DD,Wang DD. Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications[J]. http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000026,2009.
APA	WANG, HP,WANG, DD,&王东东.(2009).Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications.http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000026.
MLA	WANG, HP,et al."Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications".http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000026 (2009).