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TECHNICAL PAPERS

An Iterative Method for Solving Elasticity Problems for Composite Laminates

[+] Author and Article Information
A. Makeev, E. A. Armanios

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150

J. Appl. Mech 67(1), 96-104 (May 18, 1999) (9 pages) doi:10.1115/1.321154 History: Received July 15, 1998; Revised May 18, 1999
Copyright © 2000 by ASME
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References

Sen, J. K., and Fish, J. C., 1995, “Fracture of Glass-Epoxy Laminates Under Torsional and Combined Tension-Torsion Loads,” Composite Materials: Fatigue and Fracture, Fifth Volume, R. H. Martin, ed., ASTM STP 1230, ASTM, Philadelphia, PA, pp. 440–466.
Sen, J. K., and Fish, J. C., 1996, “Failure Prediction of Composite Laminates under Torsion,” Key Engineering Materials Vols. 121-122, Fracture of Composites, E. Armanios, ed., Transtec Publications, Zuerich-Uetikon, Switzerland, pp. 285–306.
Pipes,  R. B., and Pagano,  N. J., 1970, “Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension,” J. Compos. Mater., 4, pp. 538–548.
Wang,  S. S., and Choi,  I., 1982, “Boundary-Layer Effects in Composite Laminates: Part 1—Free-Edge Stress Singularities,” ASME J. Appl. Mech., 49, pp. 541–548.
Wang,  S. S., and Choi,  I., 1982. “Boundary-Layer Effects in Composite Laminates: Part 2—Free-Edge Stress Solutions and Basic Characteristics.” ASME J. Appl. Mech., 49, pp. 549–560.
Makeev, A., 1997, “Geometrically Nonlinear Analysis of Laminated Composites With Extension-Twist Coupling,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
Makeev, A., and Armanios, E. A., 1998, “A Simple Elasticity Solution for Predicting Interlaminar Stresses in Composite Flexbeams,” Proceedings of the American Helicopter Society 54th Annual Forum, AHS International, Washington, DC, pp. 977–985.
Lekhnitski, S. G., 1981, Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow.
Timoshenko, S. P., 1959, Theory of Plates and Shells, 2nd Ed., McGraw-Hill, New York.

Figures

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Coordinate system and dimensions
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Shear stress distribution at the free edge x=b for orthotropic beam torsion. Comparison of one-term approximation with exact solution.
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Shear stress distribution at the free edge x=b for orthotropic beam torsion. Comparison of two-term approximation with exact solution.
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Shear stress distribution at the free edge x=b for orthotropic beam torsion. Comparison of three-term approximation with exact solution.
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Two-term approximation. Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate.
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Two-term approximation. Comparison of interlaminar shear stress predictions at the free edge x=b for torsion of [012/±302]s laminate.
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One-term approximation. Comparison of interlaminar shear stress predictions at the free edge x=b for torsion of [012/±302]s laminate.
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Comparison of interlaminar shear stress predictions at the free edge for axial extension of [+45/−45]s laminate
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Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate
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Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate
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Two-term approximation. Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate.
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One-term approximation. Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate.
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One-term approximation. Comparison of stress predictions at +45/−45 ply interface for axial extension of [+45/−45]s laminate.
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Comparison of second iterations for one and two-term approximations with exact solution for orthotropic beam torsion

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