An iterative method for approximate analytical solution of elasticity problems in composite laminates is presented. The stress analysis is performed for laminates in the three-dimensional strain state independent of the longitudinal direction. Predictions of the method are compared with results from existing analytical and numerical models. Simple and accurate approximations for stresses are obtained. [S0021-8936(00)02001-8]

Issue Section:
Technical Papers
Keywords:
elasticity, composite materials, laminates, stress analysis, Poisson equation, torsion
Topics:
Approximation, Composite materials, Elasticity, Laminates, Stress, Torsion, Iterative methods
1.
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.
2.
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.
3.
Pipes
,
R. B.
, and
Pagano
,
N. J.
,
1970
, “
Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension
,”
J. Compos. Mater.
,
4
, pp.
538
–
548
.
4.
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
.
5.
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
.
6.
Makeev, A., 1997, “Geometrically Nonlinear Analysis of Laminated Composites With Extension-Twist Coupling,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
7.
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.
8.
Lekhnitski, S. G., 1981, Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow.
9.
Timoshenko, S. P., 1959, Theory of Plates and Shells, 2nd Ed., McGraw-Hill, New York.
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