Meshless Method of Dual Reciprocity Hybrid Radial Boundary Node Method for Elasticity
Combining the radial point interpolation method (RPIM), the dual reciprocity method (DRM) and the hybrid boundary node method (HBNM), a dual reciprocity hybrid radial boundary node method (DHRBNM) is proposed for linear elasticity. Compared to DHBNM, RPIM is exploited to replace the moving least square (MLS) in DHRBNM, and it gets rid of the deficiency of MLS approximation, in which shape functions lack the delta function property, the boundary condition can not be applied easily and directly and it’s computational expense is high. Besides, different approximate functions are discussed in DRM to get the interpolation property, in which the accuracy and efficiency for different basis functions are compared. Then RPIM is also applied in DRM to replace the conical function interpolation, which can greatly improve the accuracy of the present method. To demonstrate the effectiveness of the present method, DHBNM is applied for comparison, and some numerical examples of 2-D elasticity problems show that the present method is much more effective than DHBNM.
Key wordsmeshless method hybrid boundary node method dual reciprocity method radial point interpolation method elasticity
Unable to display preview. Download preview PDF.
- Miao, Y., Wang, Y.H. and Yu, F., An improved hybrid boundary node method in two-dimensional solids. Acta Mechanica Solida Sinica, 2005, 18(4): 307–315.Google Scholar
- Nardini, D. and Brebbia, C.A., Boundary integral formulation of mass matrices for dynamic analysis. In: Topics in Boundary Element Research, Vol. 2, Springer-Verlag, Berlin and New York, 1985.Google Scholar
- Wang, F.Z., Chen, W. and Jiang, X.R., Investigation of regularized techniques for boundary knot method. Communication in Numerical Methods in Engineering, 2009, DOI: 10.1002/cnm. 1275.Google Scholar