A Posteriori Estimates for the Shear Correction Factors in Multi‐layered Composite Cylinders
Publication: Journal of Engineering Mechanics
Volume 115, Issue 6
Abstract
A predictor‐corrector approach is presented for calculating the composite shear correction factors and analyzing multilayered composite cylinders. In the predictor phase a two‐dimensional first‐order shear deformation theory is used to predict the gross response characteristics of the cylinder (vibration frequencies, average through‐the‐thickness displacements, rotations, and transverse shear strain energy per unit area) as well as the in‐plane strains and stresses in the thickness direction. The three‐dimensional equilibrium equations and constitutive relations are then used to compute the transverse stresses and strains as well as the transverse shear factors, and they are also used to correct the predicted response quantities of the cylinder. For simply supported multilayered cylinders the response quantities obtained by using the proposed approach are shown to be in close agreement with three‐dimensional elasticity solutions for a wide range of lamination and geometric parameters. Also, the potential of the proposed approach for use in conjunction with large‐scale finite element models of composite cylinders is outlined.
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References
1.
Ambartsumyan, S. A. (1974). General theory of anisotropic shells. Izdatelstvo Nauka, Moscow (in Russian).
2.
Bert, C. W. (1983). “Simplified analysis of static shear correction factors for beams of nonhomogeneous cross section.” J. Composite Mat. 7, 525–529.
3.
Bhimaraddi, A. (1985). “Dynamic response of orthotropic, homogeneous and laminated cylindrical shells.” AIAA J. 27(11), 1834–1837.
4.
Chow, T. S. (1971). “On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load.” J. Composite Mat. 5, 306–319.
5.
Dong, S. B., and Tso, F. K. W. (1972). “On a laminated orthotropic shell theory including transverse shear deformation.” J. Appl. Mech. 39, 1091–1097.
6.
Grigolyuk, E. I., and Kogan, F. A. (1974). “State of the art of the theory of multilayer shells.” Moscow Aviation Inst., translated from Prikladnaya Mekhanika 8(6), 3–17, Consultants Bureau of Plenum Publishing Corp.
7.
Hearmon, R. F. S. (1961). An introduction to applied anisotropic elasticity. Oxford Univ. Press, London and New York.
8.
Lekhnitskii, S. G. (1981). Theory of elasticity of an anisotropic elastic body. Mir Publishers, Moscow.
9.
Librescu, L. (1975). Elastostatics and kinetics of anisotropic and heterogeneous shelltype structures. Nordhoff International, Leyden.
10.
Nelson, R. B. (1976). “Simplified calculation of eigenvector derivatives.” AIAA J. 14(9), 1201–1205.
11.
Noor, A. K., and Peters, J. M. (1989). “Stress, vibration and buckling of multilayered cylinders.” J. Struct. Engrg., ASCE, 115(1), 69–88.
12.
Noor, A. K., and Rarig, P. L. (1974). “Three‐dimensional solutions of laminated cylinders.” Computer Methods in Appl. Mech. and Engrg. 3, 319–334.
13.
Reddy, J. N., and Liu, C. F. (1985). “A higher‐order shear deformation theory of laminated elastic shells.” Int. J. Engrg. Sci. 23(3), 319–330.
14.
Whitney, J. M. (1973). “Shear correction factors for orthotropic laminates under static load.” J. Appl. Mech. 40, 302–304.
15.
Whitney, J. M., and Sun, C. T. (1974). “A refined theory for laminated anisotropic cylindrical shells.” J. Appl. Mech. 41(2), 471–476.
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Copyright © 1989 ASCE.
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Published online: Jun 1, 1989
Published in print: Jun 1989
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