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20.—Some Results for Two-phase Elastic Planes

Published online by Cambridge University Press:  14 February 2012

K. Aderogba
K. Aderogba
Affiliation:
Department of Engineering, University of Lagos, Nigeria.
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Synopsis

The first part of this paper is concerned with the elastic response of an isotropie infinite plane containing a central circular inhomogeneity to a deformation such that in the homogeneous infinite plane the associated elastic displacement is the gradient of a harmonic function. Based upon the Papkovich stress-function approach, it is shown that it is possible to represent all solutions to such problems by means of only one family of equations. The second part of the paper is concerned with the elastokinetics of two bonded dissimilar half-planes subjected to any uniformly moving body force. It is again shown that there exist simple relations between components of the elastic field in the composite plane and those of a particular field in the homogeneous infinite plane.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 3 , 1973 , pp. 249 - 262
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

References to Literature

Aderogba, K. and Berry, D. S., 1971. J. Mech. Phys. Solids, 19, 285.Google Scholar
Chorlton, F., 1967. Mathl Gaz., 51, 120.CrossRefGoogle Scholar
Eason, G., Fulton, J. and Sneddon, I. N., 1956. Phil. Trans. Roy. Soc. Lond., 248A, 575.Google Scholar
Fukui, K., Dundurs, J. and Fukui, T., 1967. Bull. Jap. Soc. Mech. Engrs, 10, 9.Google Scholar
Goodier, J. N., 1957. J. Appl. Mech., 24, 467.CrossRefGoogle Scholar
Gradshteyn, I. S. and Ryzhik, I. M., 1965. Table of Integrals, Series and Products. New York: Academic Press.Google Scholar
Guell, D. L. and Dundurs, J., 1967. Devs Theor. Appl. Mech., 3, 105.Google Scholar
Mindlin, R. D. and Cheng, D. H., 1950. J. Appl. Phys., 21, 926.CrossRefGoogle Scholar
Neuber, H., 1958. Stress Concentrations (2nd edn.). Berlin: Springer.Google Scholar
Sternberg, E., 1960. Archs Ration. Mech. Analysis, 6, 34.Google Scholar