TECHNICAL PAPERS
Jul 1, 1996

Finite-Displacement Analysis of Laminated Composite Strips with Extension-Twist Coupling

Publication: Journal of Aerospace Engineering
Volume 9, Issue 3

Abstract

An analytical model for laminated composite strips exhibiting extension-twist coupling is presented. The analysis is developed first for flat laminates and subsequently extended to include finite pretwist. The displacement field is developed in three steps, each accounting for a kinematic contribution. A finite rigid-body twisting rotation is considered first. This is subsequently modified to include Saint-Vénant's type warping where the transverse normal and out-of-plane shear strains are neglected. Finally, inplane extension, shear, bending, and twisting curvatures are accounted for by superimposing a classical-type small-displacement field. Closed-form expressions relating applied extension to twisting rotation are obtained and the contribution of axial force to the twisting moment is isolated. Three approximate models are derived and the influence of the free-edge conditions and Saint-Vénant's assumptions are assessed. Based on this assessment, a simple two-parameter model accounting for the axial force contribution to the twisting moment is proposed. Comparisons of analytical predictions with a finite-element simulations for both flat and pretwisted laminates illustrate the accuracy of the developed models. A set of pretwisted laminated composite strips made of a graphite/cyanate material system is manufactured and tested. A custom-made apparatus designed to allow the laminate to twist freely under axial loading is used to measure the twist angle associated with applied axial force. Test results depict the nonlinear axial force-twist behavior and the analytical predictions are in close agreement with test data.

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References

1.
Armanios, E. A., Hooke, D. A., and Makeev, A. (1996). “Testing and geometrically nonlinear analysis of pre-twisted laminated composite strips with extension-twist coupling.”Proc., 13th ASTM Symp. on Composite Mat.: Testing and Des., ASTM, Philadelphia, Pa.
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Hooke, D. A., and Armanios, E. A. (1994). “Development of three methods for testing extension-twist coupled laminates.”Proc., 12th ASTM Symp. on Composite Mat.: Testing and Des., ASTM STP 1274, ASTM, Philadelphia, Pa.
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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., AIAA Paper 91-1023, Am. Inst. of Aeronautics and Astronautics, Washington, D.C., 1037–1049.
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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 9Issue 3July 1996
Pages: 80 - 91

History

Published online: Jul 1, 1996
Published in print: Jul 1996

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Authors

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Erian A. Armanios
Assoc. Prof., School of Aerospace Engrg., Georgia Inst. of Technol., Atlanta, GA 30332-0150.
Andrew Makeev
Grad. Res. Asst., School of Aerospace Engrg., Georgia Inst. of Technol., Atlanta, GA.
David Hooke
Grad. Res. Asst., School of Aerospace Engrg., Georgia Inst. of Technol., Atlanta, GA.

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