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Green's functions for thin perforated elastic slabs

Published online by Cambridge University Press:  26 February 2010

W. A. Bassali
W. A. Bassali
Affiliation:
Faculty of Science, University of Alexandria, Egypt.
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Summary

An exact expression in finite terms is found for the small deflexion at any point of an infinitely large plate clamped along an inner curvilinear edge, with outer edge free, and loaded by a concentrated force at an arbitrary point of the plate. The plate can be mapped on the area outside the unit circle by a rational mapping function involving two parameters. By varying these parameters holes having various shapes and several axes of symmetry are obtained. Infinite plates with holes in the forms of regular and approximately rectilinear polygons are included as special cases.

Type
Research Article
Information
Mathematika , Volume 7 , Issue 2 , December 1960 , pp. 101 - 112
Copyright
Copyright © University College London 1960

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