Influence of In-Plane Shear Nonlinearity on Buckling and Postbuckling Responses of Composite Plates and Shells

Abstract

Based on linear and nonlinear in-plane shear formulations for fiber- composite laminate materials, finite-element buckling analyses for composite plates under uniaxial compression and biaxial compression and for composite shells under end com pression and hydrostatic compression are presented. It has been shown that the nonlinear in-plane shear has significant influence on the buckling and postbuckling responses of composite plates and shells, specially for those with [45/-45]_2S layup.

Keywords

in-plane shear nonlinearity buckling postbuckling finite element com posite plates composite shells.

References

Leissa, A.W. 1985. "Buckling of Laminated Plates and Shell Panels ," Report AFWAL-TR-85-3069, Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, OH.

Knight, N.F. and J.H. Starnes. 1985. "Postbuckling Behavior of Axially Compressed GraphiteEpoxy Cylindrical Panels with Circular Holes ," Journal of Pressure Vessel Technology, ASME, 107:394-402

Jun, S.M. and C.S. Hong 1988 "Buckling Behavior of Laminated Composite Cylindrical Panels under Axial Compression," Computers and Structures , 29.479-490

Noor, A.K. , J.H. Starnes and W.A. Waters 1990 "Numerical and Expenmental Simulations of the Postbuckling Response of Laminated Anisotropic Panels," Proceedings of the 31st AIAA/ ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, pp. 848-861.

Hahn, H.T. and S.W. Tsai 1973 "Nonlinear Elastic Behavior of Unidirectional Composite Laminate," Journal of Composite Materials, 7 102-118

Hashin, Z. , D. Bagchi and B.W. Rosen. 1974 "Non-Linear Behavior of Fiber Composite Laminates," NASA Contractor Report, NASA CR-2313

Kuppusamy, T. , A. Nanda and J.N. Reddy 1984. "Materially Nonlinear Analysis of Laminated Composite Plates," Composite Structures , 2:315-328.

Hajali, R. and S.S. Wang 1990 "Nonlinear Behavior of Fiber Composite Materials and Its Effect on the Postbuckling Response of Laminated Plates," Report UIUC-NCCMR-90-10, National Center for Composite Materials Research, University of Illinois, Urbana, IL

Sun, C.T. and J.L. Chen 1989. "A Simple Flow Rule for Characterizing Nonlinear Behavior of Fiber Composites," Journal of Composite Matenals , 23.1009-1020.

10.

Vaziri, R. , M.D. Olson and D.L. Anderson 1991 "A Plasticity-Based Constitutive Model for Fibre-Reinforced Composite Laminates," J of Composite Matenals, 25:512-535.

11.

Arnold, R.R. and J. Mayers 1984. "Buckling, Postbuckling, and Crippling of Materially Nonlinear Laminated Composite Plates ," International Journal of Solids and Structures, 20:863—880

12.

Hibbitt, Karlsson and Sorensen, Inc 1991. ABAQUS User and Theory Manuals, Version 4-8. Providence, RI

13.

Mindlin, R.D. 1951. "Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates," Journal of Applied Mechanics, 18.31-38.

14.

Irons, B.M. 1976 "The Semi-Loof Shell Element," in Finite Elements for Thin Shells and Curved Members, D. G. Ashwell and R. H. Gallagher , eds., London. John Wiley & Sons, pp. 197-222

15.

Riks, E. 1979. "An Incremental Approach to the Solution of Snapping and Buckling Problems," International Journal of Solids and Structures , 15:529-551