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Published 1986 | public
Book Section - Chapter

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


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.

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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August 19, 2023
October 18, 2023