The Complex Potential Approach to Power-Logarithmic Stress Singularities for V-Notched Cracks in a Bi-Material

The Complex Potential Approach to Power-Logarithmic Stress Singularities for V-Notched Cracks in a Bi-Material

Power-logarithmic stress singularites and the coefficient vectors for V-notched cracks in a bi material are obtained by using complex potentials and the concept of repeated roots for general solutions. On several examples, it is shown that the results obtained using the complex potential approach ar...

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Veröffentlicht in:Journal of mechanical science and technology 1999, Vol.13 (1), p.19-25
Hauptverfasser: Cho, Sang Bong, Carpenter, William C.
Format: Artikel
Sprache:eng
Schlagworte:
Bogies
Cracks
Logarithms
Mathematical analysis
Mellin transforms
Singularities
Stress functions
Stresses
Vectors (mathematics)
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Zusammenfassung:Power-logarithmic stress singularites and the coefficient vectors for V-notched cracks in a bi material are obtained by using complex potentials and the concept of repeated roots for general solutions. On several examples, it is shown that the results obtained using the complex potential approach are identical to those found by Bogy (1970) using the Mellin transform method, and to those found by Dempsey and Sinclair (1979, 1981) using the Airy stress function approach.
ISSN:1226-4865
1738-494X
1976-3824
DOI:10.1007/BF02946119