Abstract
Polar coördinates (r, θ are particularly suited to problems in which the boundaries can be expressed in terms of equations like r = a,θ = α. This includes the stresses in a circular disk or around a circular hole, the curved bar with circular boundaries and the wedge, all of which will be discussed in this and subsequent chapters.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Notes
It might be thought that the term involving A22 is inappropriate because it does not decay with r. However, it leads to stresses which decay with r, which is of course what we require.
G.N. Savin, Stress Concentration around Holes, Pergamon Press, Oxford, (1961).
R.E. Peterson, Stress Concentration Design Factors, John Wiley, New York, (1974).
J.H. Michell, On the direct determination of stress in an elastic solid, with application to the theory of plates, Proc. London Math. Soc., Vol. 31 (1899), 100–124.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Barber, J.R. (1992). Problems in Polar Coördinates. In: Elasticity. Solid Mechanics and Its Applications, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2454-6_8
Download citation
DOI: https://doi.org/10.1007/978-94-011-2454-6_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-1610-7
Online ISBN: 978-94-011-2454-6
eBook Packages: Springer Book Archive