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

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 uti...

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Bibliographic Details
Published inJournal of mechanics Vol. 26; no. 3; pp. 393 - 401
Main Authors Chen, J. T., Lee, Y. T., Chou, K. H.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2010
Oxford University Press
Subjects
Boundaries
Density
Displacement
Elasticity
Exact solutions
Formulations
Fourier series
Integral equations
Integrals
Kernels
Mathematical analysis
Stress concentration
Stresses
Stress concentration factor
Degenerate kernel
Null-field boundary integral equation
Lamé problem
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Summary: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.
Bibliography:ObjectType-Article-2
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ISSN:1727-7191
1811-8216
DOI:10.1017/S1727719100003956