TECHNICAL PAPERS
Oct 1, 1999

Elasticity Solution for Torsional Rigidity of Pretwisted Composite Strips

Publication: Journal of Engineering Mechanics
Volume 125, Issue 10

Abstract

The tension-torsion problem for pretwisted antisymmetric laminated composite strips is formulated without ad hoc shell-type assumptions. No restrictions regarding the thickness-to-width aspect ratio are made. The elasticity equations are derived first and solved exactly for the torsional rigidity of orthotropic strips. An approximate solution is derived for angle-ply laminates. The torsional rigidity predictions are compared with a shell-type closed-form solution and finite-element simulations. An iterative method, which allows for the development of closed-form one-term approximations in a number of boundary-value problems, is presented. The accuracy of the method is illustrated by comparison with exact solutions for two benchmark problems.

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References

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Armanios, E. A., Makeev, A., and Hooke, D. A. (1996). “Finite displacement analysis of laminated composite strips with extension-twist coupling.”J. Aerosp. Engrg., ASCE, 9(3), 80–91.
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Kosmatka, J. B. (1991). “Extension-bend-twist coupling behavior of thin-walled advanced composite beams with initial twist.” Proc., 32nd Struct., Struct. Dyn., and Mat. Conf., American Institute of Aeronautics and Astronautics, Reston, Va., 1037–1049.
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Lekhnitski, S. G. (1981). Theory of elasticity of an anisotropic body. Mir Publishers, Moscow.
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Makeev, A., and Armanios, E. A. (1998). “On a higher order analysis of laminated strips with extension-twist coupling.” Int. J. of Solids and Struct., 36(7), 1081–1098.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 10October 1999
Pages: 1147 - 1153

History

Received: Feb 18, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999

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Postdoctoral Fellow, School of Aerosp. Engrg., Georgia Inst. of Technol., Atlanta, GA 30332-0150.
Prof., School of Aerosp. Engrg., Georgia Inst. of Technol., Atlanta, GA.

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