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TECHNICAL PAPERS

The Exact One-Dimensional Theory for End-Loaded Fully Anisotropic Beams of Narrow Rectangular Cross Section

[+] Author and Article Information
P. Ladevèze

Laboratoire de Mécanique et Technologie, ENS Cachan/CNRS/Universite Paris 6, 94235 Cachan, France

J. G. Simmonds

Department of Civil Engineering, University of Virginia, Charlottesville, VA 22903

J. Appl. Mech 68(6), 865-868 (Jun 02, 2001) (4 pages) doi:10.1115/1.1412238 History: Received February 12, 2001; Revised June 02, 2001
Copyright © 2001 by ASME
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References

Ladevèze,  P., 1983, “Sur le principe de Saint-Venant en élasticité,” J. Mec. Theor. Appl., 1, pp. 161–184.
Ladevèze, P., 1985, “On Saint-Venant’s Principle in Elasticity,” Local Effects in Structures, P. Ladevèze, ed., Elsevier, New York, pp. 3–34.
Ladevèze,  P., and Simmonds,  J. G., 1996, “New Concepts for Linear Beam Theory With Arbitrary Geometry and Loading,” Comptes Rendus Acad. Sci. Paris, 332, Ser IIb, pp. 455–462 (partially in French).
Ladevèze,  P., and Simmonds,  J. G., 1998, “New Concepts for Linear Beam Theory With Arbitrary Geometry and Loading,” Eur. J. Mech. A/Solids, 17, pp. 377–402.
Ladevèze,  P., 1982, “Principes de Saint-Venant en déplacement et en contrainte pour les poutres droites élastique semi-infinies,” Z. Angew. Math. Phys., 33, pp. 132–139.
Libai, A., and Simmonds, J. G., 1998, The Nonlinear Theory of Elastic Shells, 2nd Ed., Cambridge University Press, Cambridge, UK.
Gregory,  R. D., and Wan,  F. Y. M., 1984, “Decaying States of Plane Strain in a Semi-Infinite Strip and Boundary Conditions for Plate Theory,” J. Elast., 14, pp. 27–64.
Gregory,  R. D., and Gladwell,  I., 1982, “The Cantilever Beam Under Tension, Bending, or Flexure at Infinity,” J. Elast., 12, pp. 317–343.
Crafter,  E. C., Heise,  R. M., Horgan,  C. O., and Simmonds,  J. G., 1993, “The Eigenvalues for a Self-Equilibrated, Semi-Infinite, Elastically Anisotropic Strip,” ASME J. Appl. Mech., 60, pp. 276–281.
Wang,  M. Z., Ting,  T. C. T., and Yan,  G., 1993, “The Anisotropic Elastic Semi-Infinite Strip,” Q. J. Mech. Appl. Math., 51, pp. 283–297.

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