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BRIEF NOTES

Saint-Venant Decay Rates for the Rectangular Cross Section Rod

[+] Author and Article Information
N. G. Stephen

School of Engineering Sciences, Mechanical Engineering, The University of Southampton, Highfield, Southampton SO17 1BJ, UK

P. J. Wang

School of Mechanical, Materials, Manufacturing Engineering and Management, The University of Nottingham, University Park, Nottingham NG7 2RD, UK

J. Appl. Mech 71(3), 429-433 (Jun 22, 2004) (5 pages) doi:10.1115/1.1687794 History: Received January 22, 2003; Revised October 28, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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References

Klemm,  R. L., and Little,  R. W., 1970, “The Semi-Infinite Elastic Cylinder Under Self-Equilibrated End Loading,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 19, pp. 712–719.
Stephen,  N. G., and Wang,  M. Z., 1992, “Decay Rates for the Hollow Circular Cylinder,” ASME J. Appl. Mech., 59, pp. 747–753.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, Third Ed., McGraw-Hill, New York, Art. 26.
Shun,  Cheng, 1979, “Elasticity Theory of Plates and a Refined Theory,” ASME J. Appl. Mech., 46, pp. 644–650.
Toupin,  R. A., 1965, “Saint-Venant’s Principle,” Arch. Ration. Mech. Anal., 18, pp. 83–96.
Horgan,  C. O., and Knowles,  J. K., 1983, “Recent Developments Concerning Saint-Venant’s Principle,” Adv. Appl. Mech., 23, pp. 179–269.
Horgan,  C. O., 1989, “Recent Developments Concerning Saint-Venant’s Principle: An Update,” Appl. Mech. Rev., 42, pp. 295–303.
Horgan,  C. O., 1996, “Recent Developments Concerning Saint-Venant’s Principle: A Second Update,” Appl. Mech. Rev., 49, pp. 101–111.
Stephen,  N. G., and Wang,  P. J., 1996, “Saint-Venant Decay Rates: A Procedure for the Prism of General Cross-Section,” Comput. Struct., 58, pp. 1059–1066.
Stephen,  N. G., and Wang,  P. J., 1996, “On Saint-Venant’s Principle for the Pin-Jointed Framework,” Int. J. Solids Struct., 33, pp. 79–97.

Figures

Grahic Jump Location
Semi-infinite elastic rod of rectancxgular cross section subject to self-equilibrated load on the end z=0, and repeating cell of length lc
Grahic Jump Location
Self-equilibrated twisting moment on the end z=0; aspect ratio a/b<1

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