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TECHNICAL PAPERS

On Torsion of Closed Thin-Wall Members With Arbitrary Stress-Strain Laws: A General Criterion for Cross Sections Exhibiting No Warping

[+] Author and Article Information
A. Chiskis, R. Parnes

Department of Solid Mechanics, Materials and Structures, Faculty of Engineering, Tel-Aviv University, Ramat Aviv 69978, Israel

J. Appl. Mech 67(3), 460-464 (May 05, 2000) (5 pages) doi:10.1115/1.1313821 History: Received April 13, 1999; Revised May 05, 2000
Copyright © 2000 by ASME
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References

Day,  W. A., 1981, “Generalized Torsion: The Solution of a Problem of Truesdell’s,” Arch. Ration. Mech. Anal., 76, pp. 283–288.
Podio-Guidugli,  P., 1983, “St. Venant Formulae for Generalized St. Venant Problems,” Arch. Ration. Mech. Anal., 81, pp. 13–20.
Ericksen,  J. L., 1979, “On St.-Venant’s Problem for Thin-Walled Tubes,” Arch. Ration. Mech. Anal., 70, pp. 7–12.
Truesdell, C., 1972, A First Course in Rational Continuum Mechanics, The Johns Hopkins University Press, Baltimore, MD.
Yakobson,  B. I., Brabec,  C. J., and Bernholc,  J., 1996, “Nanomechanics of Carbon Tubes: Instabilities Beyond Linear Response,” Phys. Rev. Lett., 76, pp. 2511–2514.
Falvo,  M. R., Clary,  G. J., Taylor,  R. M., Chi,  V., Brooks,  F. P., Washburn,  S., and Superfine,  R., 1997, “Bending and Buckling of Carbon Nanotubes Under Large Strain,” Nature (London), 389, pp. 582–584.
Bell, F. J., 1973, Mechanics of Solids, I. (Handbuch der Physik, Vol. VIa/1), C. Truesdell ed., Springer, Berlin.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, 3rd Ed., McGraw-Hill, New York.
Murray, N. W., 1984, Introduction to the Theory of Thin-Walled Structures, Clarendon Press, Oxford, UK.

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