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Remarks on a Question of Ericksen Concerning Elastostatic Fields of Saint-Venant Type

Knowles, James K. (1986) Remarks on a Question of Ericksen Concerning Elastostatic Fields of Saint-Venant Type. In: The Breadth and Depth of Continuum Mechanics. Springer , Berlin, pp. 759-771. ISBN 978-3-540-16219-3. https://resolver.caltech.edu/CaltechAUTHORS:20141117-134940318

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Abstract

In an effort to understand better the relationship between approximate theories —such as those for thin rods—and the three-dimensional theory of elasticity, Ericksen [1]–[3] has recently suggested a reconsideration of Saint-Venant’s problem for elastic cylinders with traction-free lateral surfaces. Among the various questions raised in [1]–[3], one concerns the structure and role of the set of all possible elastostatic fields in an infinitely long cylinder in the absence of lateral loading and body force, but in the presence of a restriction on the size of a suitable cross-sectional norm of the associated strain tensor field.


Item Type:Book Section
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http://dx.doi.org/10.1007/978-3-642-61634-1_35DOIArticle
http://link.springer.com/chapter/10.1007%2F978-3-642-61634-1_35PublisherArticle
Additional Information:© 1986 Springer. (Received February 12, 1985). The author gratefully acknowledges the helpful suggestions of C. O. Horgan and E. Sternberg.
Record Number:CaltechAUTHORS:20141117-134940318
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141117-134940318
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ID Code:51857
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:17 Nov 2014 22:07
Last Modified:03 Oct 2019 07:36

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