Open Access

ARTICLE

A Dual Hybrid Boundary Node Method for 2D Elastodynamics Problems

by Yu Miao¹, Qiao Wang¹, Bihai Liao¹, Junjie Zheng¹

1 School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
2 Corresponding author. Tel: +8627-87540233; Fax: +8627-87542231; Email: shangha9459@163.com

Computer Modeling in Engineering & Sciences 2009, 53(1), 1-22. https://doi.org/10.3970/cmes.2009.053.001

Abstract

As a truly meshless method, the Hybrid Boundary Node method (Hybrid BNM) does not require a `boundary element mesh', either for the purpose of interpolation of the solution variables or for the integration of `energy'. This paper presents a further development of the Hybrid BNM to the 2D elastodynamics. Based on the radial basis function (RBF) and the Hybrid BNM, it presents an inherently meshless, boundary-only technique, which named dual hybrid boundary node method (DHBNM), for solving 2D elastodynamics. In this study, the RBFs are employed to approximate the inhomogeneous terms via dual reciprocity method (DRM), while the general solution is solved by means of Hybrid BNM, in which only requires discrete nodes constructed on the boundary of a domain, several nodes in the domain are needed just for the RBF interpolation. The rigid body movement method is employed to solve the hypersingular integrations. The `boundary layer effect', which is the main drawback of the original Hybrid BNM, has been circumvented by an adaptive integration scheme. The computation results obtained by the present method are shown that high convergence and high accuracy with a small node number are achievable.

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Keywords

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