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A note on surface geometry with special reference to twist

Published online by Cambridge University Press:  24 October 2008

P. G. Lowe
Affiliation:
University of Strathclyde, Glasgow

Abstract

Classical differential geometry defines two symmetrical fundamental forms, the first dealing with length measurement, the second essentially with curvature. In applications, particularly in the mechanics of plates and shells, certain unsymmetrical features of the fundamental forms are of interest and are here investigated.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

(1)Jaeger, L. G.Elementary theory of elastic plates (Pergamon, 1964).Google Scholar
(2)Lowe, P. G.Internal Report, Struct. 1, Department of Civil Engineering, University of Strathclyde, 05 1978.Google Scholar
(3)Mohr, O.Civiling. (1882), 139.Google Scholar
(4)Struik, D. J.Lectures on classical differential geometry (Addison-Wesley, 1950).Google Scholar
(5)Weatherburn, C. E.Differential geometry of three dimensions, vol. 1 (Cambridge, 1927).Google Scholar
(6)Weingarten, J.Crelle's Journal für Mathematik 59 (1861), 382.Google Scholar
(7)Willmore, T. J.An introduction to differential geometry (Oxford, 1959).Google Scholar