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Compression of an elastic roller between two rigid plates

Sternberg, Eli and Turtletaub, M. J. (1971) Compression of an elastic roller between two rigid plates. California Institute of Technology , Pasadena, CA. http://resolver.caltech.edu/CaltechAUTHORS:TechRptNo22

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Abstract

A closed solution - exact within two-dimensional linear elastostatics - is deduced for the problem appropriate to the compression of an elastic circular cylinder between two smooth, flat and parallel, rigid plates. The boundary displacements obtained for the cylinder involve elliptic integrals, whereas its stress field is given in terms of elementary functions exclusively. The results found for the distribution of the contact pressure and for the width of the contact zone are compared with the corresponding predictions of Hertz's approximate theory, for which elementary corrections are determined by asymptotic means. Analogous corrections are established for a previously available approximate estimate of the diametral compression undergone by the roller, which remains indeterminate in the Hertz treatment of this two-dimensional contact problem.


Item Type:Report or Paper (Technical Report)
Additional Information:The results communicated in this paper were obtained while one of the authors (E.S.) was on a visit to the University of Chile and during his tenure of a Fulbright-Hays grant. The partial support of this investigation under Contract N00014-67-A-0094-0020 of the California Institute of Technology with the Office of Naval Research in Washington, D.C., is also gratefully acknowledged.
Record Number:CaltechAUTHORS:TechRptNo22
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:TechRptNo22
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9241
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:29 Nov 2007
Last Modified:26 Dec 2012 09:46

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