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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.

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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.

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Additional Information:© 1986 Springer. (Received February 12, 1985). The author gratefully acknowledges the helpful suggestions of C. O. Horgan and E. Sternberg.
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51857
Deposited By: George Porter
Deposited On:17 Nov 2014 22:07
Last Modified:10 Nov 2021 19:16

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