Abstract
In this paper, general equations relating to the stability of laminated plates of symmetric cross-ply with initial imperfection factors are derived by using the variational principle. Taking the deflection as the perturbation parameter, the equilibrium path of the post-buckling path of a simply supported rectangular plate is investigated with the perturbation method. An approximation expression and a typical numerical example are presented to manifest the post-buckling behavior of the rectangular plate.
Similar content being viewed by others
References
W. T. Koiter, On the Stability of Elastic Equilibrium, NASA TT-F10 (1967).
M. Stein, Loads and Deformations of Buckled Rectangular Plates, NASA TR-R-40 (1959).
J. M. T. Thompson, Basic principles in the general theory of elastic stability,J. Mech. Phys. Solids,11 (1963).
J. M. T. Thompson and G. M. Hunt,A General Theory of Elastic Stability, John Wiley & Sone, London (1973).
A. C. Walker, The post-buckling behavior of simply supported square plates,Aero. Quart.,20 (1969).
Zhang Jianwu and Fan Züyao, A perturbation solution of the equilibrium path of the post-buckling of simply supported rectangular plates,J. Shanghai Jiaotong University,18, 5 (1984). (in Chinese)
G. Z. Harris, The buckling and post-buckling behavior of composite plates under biaxial loading,Int. J. Mech. Sci., Mar.,7 (1975).
Zhang Jianwu, Investigation to the buckling and post-buckling behavior of shear-flexible plates of composite construction,Acta Mechanica Sinica,26, 2, (1994), 176 (in Chinese)
Zhou Chengti, Theory of nonlinear dynamic stability for composite laminated plates,Appl. Math. and Mech. (English Ed.),12, 2 (1991), 113–120.
Zhou Chengti,Theory of Stability of Elasto-Plastic Thin Shells, The publishing House of National Defence (1979). (in Chinese)
R. M. Jones,Mechanics of Composite Materials, McGraw-Hill (1975).
S. Srinirasan and A. K. Rao, Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates,Int. J. Solid Struct. 6, (1970), 1463–1481.
Author information
Authors and Affiliations
Additional information
Communicated by Zhou Chengti and Xu Cida
Rights and permissions
About this article
Cite this article
Zongyi, W. An analysis of the post-buckling of laminated plates of symmetric cross-ply. Appl Math Mech 16, 1221–1230 (1995). https://doi.org/10.1007/BF02466992
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02466992