A bridging transition technique for the combination of meshfree method with finite element method in 2D solids and structures

Gu, YuanTong & Yarlagadda, Prasad K. (2009) A bridging transition technique for the combination of meshfree method with finite element method in 2D solids and structures. Computational Mechanics, 44, pp. 119-131.

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For certain continuum problems, it is desirable and beneficial to combine two different methods together in order to exploit their advantages while evading their disadvantages. In this paper, a bridging transition algorithm is developed for the combination of the meshfree method (MM) with the finite element method (FEM). In this coupled method, the meshfree method is used in the sub-domain where the MM is required to obtain high accuracy, and the finite element method is employed in other sub-domains where FEM is required to improve the computational efficiency. The MM domain and the FEM domain are connected by a transition (bridging) region. A modified variational formulation and the Lagrange multiplier method are used to ensure the compatibility of displacements and their gradients. To improve the computational efficiency and reduce the meshing cost in the transition region, regularly distributed transition particles, which are independent of either the meshfree nodes or the FE nodes, can be inserted into the transition region. The newly developed coupled method is applied to the stress analysis of 2D solids and structures in order to investigate its’ performance and study parameters. Numerical results show that the present coupled method is convergent, accurate and stable. The coupled method has a promising potential for practical applications, because it can take advantages of both the meshfree method and FEM when overcome their shortcomings.

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2 citations in Scopus
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2 citations in Web of Science®

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ID Code: 26431
Item Type: Journal Article
Refereed: Yes
Keywords: Numerical Analysis, Coupled Method, Meshfree Method, Finite Element Method, Bridging transition
DOI: 10.1007/s00466-008-0359-y
ISSN: 0178-7675
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Deposited On: 23 Jul 2009 03:15
Last Modified: 29 Feb 2012 13:54

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