Title: A New Coupled Meshless-finite Element Method
Abstract:The coupled meshless-finite element methods presented by Belytschko and Huerta are dis- cussed first, and the disadvantages of the methods are explained. Then a new coupled meshless-finite element met...The coupled meshless-finite element methods presented by Belytschko and Huerta are dis- cussed first, and the disadvantages of the methods are explained. Then a new coupled meshless-finite element method is presented. The disadvantages of the Belytschko’s method are that the interface between meshless method sub-domain and finite element sub-domain must be regular, and that the finite element mesh can not be discretized arbitrarily and the meshless nodes can not be distributed arbitrarily in the interface sub-domain. The disadvantage of the Huerta’s method is that the domains of influence of the meshless nodes can not cover the interface sub-domain. Our coupled meshless-finite element method can overcome all the disadvantages of Belytschko’s and Huerta’s methods. Moreover, the nodes are arbitrary, and that the interface between the meshless subdomain and the finite element subdomain can be irregular. And the solution precision in the meshless subdomain is greater, and thus the solution precision in the whole domain is greater. Then the formulae of the new coupled meshless-finite element method for elasticity are obtained. Some numerical examples are given at last.Read More
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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