A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion-Reference-Cited by-同舟云学术

A Simplified Displacement-Rotation Form for the Equations of Motion of Nonlinearly Elastic Shells of Revolution Undergoing Combined Bending and Torsion

Published:1996-06-01 Issue:2 Volume:63 Page:539-542
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Simmonds J. G.¹

Affiliation:

1. Institute of Applied Mathematics and Mechanics, University of Virginia, Charlottesville, VA 22903

Abstract

By appropriately defining two displacements and a rotation, it is shown that the equations of motion of a shell of revolution undergoing combined axisymmetric bending and torsion, in which the extensional strains and the rotations may be arbitrarily large, can be given a form in which there are three effective extensional strains and two effective bending strains, each of which is only linear or quadratic in the displacements and rotation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/63/2/539/5879213/539_1.pdf

Reference8 articles.

1. Budiansky B. , 1968, “Notes on Nonlinear Shell Theory,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 35, pp. 393–401.

2. England R. , and SimmondsJ. G., 1991, “Simplifications under the Kirchhoff Hypothesis of Taber’s Nonlinear Theory for the Axisymmetric Bending and Torsion of Elastic Shells of Revolution,” Int. J. Solids Structures, Vol. 28, pp. 507–515.

3. Libai, A., and Simmonds, J. G., 1983, “Nonlinear Elastic Shell Theory,” Advances in Applied Mechanics, Vol. 23, J. W. Hutchinson and T. Y. Wu, eds. Academic Press, New York, pp. 271–371.

4. Schieck B. , PietraszkiewiczW., and StumpfH., 1992, “Theory and Numerical Analysis of Shells undergoing Large Elastic Strains,” Int. J. Solids Structures, Vol. 29, pp. 689–709.

5. Simmonds J. G. , and DanielsonD. A., 1972, “Nonlinear Shell Theory with Finite Rotation and Stress-Function Vectors,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 39, pp. 1085–1090.

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