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Revisit of Two Classical Elasticity Problems by using the Null-Field Boundary Integral Equations

Published online by Cambridge University Press:  05 May 2011

J. T. Chen ,
Y. T. Lee  and
K. H. Chou
J. T. Chen*
Affiliation:
Department of Harbor and River Engineering, Department of Mechanical and Mechatronics Engineering, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C.
Y. T. Lee*
Affiliation:
Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C.
K. H. Chou*
Affiliation:
Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C.
*
* Life-time Distinguished Professor, corresponding author
** Ph.D.
*** Master student
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Abstract

In this paper, the two classical elasticity problems, Lamé problem and stress concentration factor, are revisited by using the null-field boundary integral equation (BIE). The null-field boundary integral formulation is utilized in conjunction with degenerate kernels and Fourier series. To fully utilize the circular geometry, the fundamental solutions and the boundary densities are expanded by using degenerate kernels and Fourier series, respectively. In the two classical problems of elasticity, the null-field BIE is employed to derive the exact solutions. The Kelvin solution is first separated to degenerate kernel in this paper. After employing the null-field BIE, not only the stress but also the displacement field are obtained at the same time. In a similar way, Lamé problem is solved without any difficulty.

Keywords

Degenerate kernelNull-field boundary integral equationStress concentration factorLamé problem
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 393 - 401
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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