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Transverse bending of infinite and semi-infinite thin elastic plates. I

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali
W. A. Bassali
Affiliation:
Faculty of ScienceAlexandria University, Egypt
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Extract

In recent years several authors have treated the fundamental problems of two-dimensional statical elasticity for isotropic and aeolotropic materials by the use of functions of a complex variable; references are given at the end of (7). In this paper Stevenson's notation (8,9) is adopted. Dawoud (2) has expressed the continuity conditions across a curve between two differently loaded regions in terms of the complex potentials and particular integrals for the two regions. A form of the boundary condition defining certain types of boundary constraint, including the rigidly clamped and hinged boundaries, has been introduced by the author and Dawoud (1). The introduction of this boundary condition is of practical importance, since neither rigidly clamped nor simply supported conditions can be realized fully under actual physical conditions and thus any case met in practice must lie somewhere between these two limiting cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 248 - 255
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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(2)Dawoud, R. H. Proc. Math. Phys. Soc. Egypt 5 (1954), 51. See also Ph.D. thesis (London, 1950).Google Scholar
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