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On the theory of stress concentration for shear-strained prismatical bodies with a non-linear stress-strain law

Published online by Cambridge University Press:  26 February 2010

D. L. Clements  and
C. Rogers
D. L. Clements
Affiliation:
University of Adelaide, Australia. University of Western Ontario, Canada.
C. Rogers
Affiliation:
University of Adelaide, Australia. University of Western Ontario, Canada.
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Abstract

The system of equations governing the stress in a shear-strained prismatical body are examined and it is shown that, provided the stress-strain law adopts certain multi-parameter forms, the system may be reduced to the Cauchy-Riemann equations. Integration of the system is then immediate and the analysis of the stress concentration round certain notches thereby facilitated.

Type
Research Article
Information
Mathematika , Volume 22 , Issue 1 , June 1975 , pp. 34 - 42
Copyright
Copyright © University College London 1975

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References

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2. Sokolovsky, V. V.. Prikl. Math, i Mekh., 23, No. 4 (1959).Google Scholar
3. Sih, G. C. and MacDonald., B.Int. J. Engng. Sci., 12, 61 (1974).Google Scholar