Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method

MIAO Yu; WANG Yuan-han

Volume 27 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(5): 597-604

MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.

Citation:

MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.

Citation:

MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.

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Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method

School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Received Date: 2004-12-03
Rev Recd Date: 2006-02-10
Publish Date: 2006-05-15

Abstract

Abstract

The singular hybrid boundary node method (SHBNM) is proposed for solving threedimensional problems in linear elasticity. The SHBNM represents a coupling between the hybrid displacement variational formulations and moving least squares (MLS) approximation. The main idea is to reduce the dimensionality of the former and keep the meshless advantage of the later. The rigid movement method was employed to solve the hyper-singular integrations. The ‘boundary layer effect', which is the main drawback of the original hybrid BNM, was overcomed by an adaptive integration scheme. The source points of the fundamental solution were arranged directly on the boundary. Thus the uncertain scale factor taken in the regular hybrid boundary node method (RHBNM) can be avoided. Numerical examples for some 3-D elastic problems were given to show the characteristics. The computation results obtained by the present method are in excellent agreement with the analytical solution. The parameters that influence the performance of this method were studied through the numerical examples.
- three-dimensional elasticity,
- moving least squares,
- meshless method,
- modified variational principle,
- singular hybrid boundary node method

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References

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