Buckling of Delaminated Composite Beams with Shear Deformation Effect
Publication: Journal of Engineering Mechanics
Volume 126, Issue 11
Abstract
A general 1D model of composite delaminated beams with shear deformation effect is derived for buckling behavior. The constitutive models of composite laminated beams are derived from the classical 2D laminate theory. The present cylindrical bending models can be used—with much greater accuracy than their well-known plane-strain and plane-stress counterparts—as upper and lower bounds toward one of which the behavior tends, depending on the width-to-length ratio. The analysis is based on the first-order Timoshenko-Mindlin kinematic approach. The differential equations are solved with the aid of a specially developed, very efficient interlaced finite-difference scheme eliminating the “shear locking” phenomenon. A parametric study of the shear deformation effect associated with various constitutive models is carried out for angle-ply delaminated laminate. It was found that the most significant difference between the models is associated with the mix of local and global modes.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chen, H. P. ( 1991). “Shear deformation theory for compressive delamination buckling and growth.” AIAA J., 29(5), 813–819.
2.
Chen, H. P. ( 1993). “Transverse shear effects on buckling and post-buckling of laminated and delaminated plate.” AIAA J., 31(1), 163–169.
3.
Chen, H. P., and Chang, W. C. ( 1994). “Delamination buckling analysis for unsymmetric composite laminates.” Proc., 39th Int. SAMPE Symp., 2855–2867.
4.
Kapania, R. K., and Raciti, S. ( 1989). “Recent advances in analysis of laminated beams and plates, part I: Shear effects and buckling.” AIAA J., 27(7), 923–934.
5.
Kardomateas, G. A., and Schmueser, D. W. ( 1988). “Buckling and post-buckling of delaminated composites under compressive loads including transverse shear effects.” AIAA J., 26(3), 337–343.
6.
Kyoung, W., and Kim, C. ( 1995). “Delamination buckling and growth of composite laminated plates with transverse shear deformation.” J. Comp. Mat., 29, 2047–2068.
7.
Moradi, S., and Taheri, F. ( 1998). “Differential quadrature approach for delamination buckling analysis of composites with shear deformation.” AIAA J., 36(10), 1869–1875.
8.
Sheinman, I. (1982). “Large deflection of curved beam with shear deformation.”J. Engrg. Mech. Div., ASCE, 108(4), 636–647.
9.
Sheinman, I., and Adan, M. ( 1987). “The effect of shear deformation on post-buckling behavior of laminated beams.” J. Appl. Mech., 54, 558–562.
10.
Sheinman, I., Bass, M., and Ishai, O. ( 1989). “Effect of delamination on stability of laminated composite strip.” Comp. and Struct., 11, 227–242.
11.
Sheinman, I., Eisenberger, M., and Bernstein, Y. ( 1996). “High-order element for prebuckling analysis of laminated plane frame.” Int. J. Numer. Methods in Engrg., 39, 2155–2168.
12.
Sheinman, I., and Frostig, Y. ( 2000). “On the constitutive equations of composite laminated beams.” AIAA J., 38(4), 735–736.
13.
Sheinman, I., Kardomateas, G. A., and Pelegri, A. ( 1998). “Delamination growth during pre- and post-buckling phases of delaminated composite laminates.” Int. J. Solids and Struct., 35, 19–31.
14.
Sheinman, I., and Soffer, M. ( 1991). “Post-buckling analysis of composite delaminated beams.” Int. J. Solids and Struct., 27(5), 639–646.
15.
Simitses, G. J., Sallam, S., and Yin, W. L. ( 1985). “Effect of delamination of axially loaded homogeneous laminated plates.” AIAA J., 23(9), 1437–1444.
16.
Taylor, M. W., Vasiliev, V. V., and Dillard, D. A. ( 1997). “On the problem of shear locking in finite-elements based on shear-deformable plate theory.” Int. J. Solids and Struct., 34(7), 859–875.
17.
Timoshenko, S. ( 1937). Vibration problems in engineering, 2nd Ed., Van Nostrand Reinhold, Amsterdam, 337–338.
18.
Tene, Y., Epstein, M., and Sheinman, I. ( 1975). “Dynamics of curved beams involving shear deformation.” Int. J. Solids and Struct., 11, 827–840.
19.
Whitney, J. M. ( 1969). “Cylindrical bending of unsymmetrically laminated plates.” J. Comp. Mat., 3, 715–719.
20.
Zienkiewicz, O. C., and Taylor, R. L. ( 1991). The finite element method, 4th Ed., Vol. 2, McGraw-Hill, London.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 11 • November 2000
Pages: 1148 - 1155
History
Received: Aug 3, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.