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An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials  

Kim, Jin-kwang (Graduate School, Kyungnam University)
Cho, Sang-Bong (Div. of Mechanical and Automation Engineering, Kyungnam University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.3, no.2, 2002 , pp. 33-44 More about this Journal
Abstract
The problem of eigenvalues and eigenvectors is obtained from a v-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded conditions at interface. The complex stress function of the two-term William's type is used. The eigenvalues are solved by a commercial numerical program, MATHEMATICA. Stress singularities for v-notched cracks in pseudo-isotropic dissimilar materials are discussed. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of eigenvector coefficients associated with eigenvalues with egenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.
Keywords
Eigenvalue; Eigenvector; Stress Singularity; V-notched Crack; Pseudo-isotropic Material; RWCIM(Reciprocal Work Contour Integral Method);
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