The Lyapunov exponents as a quantitative criterion for the dynamic buckling of composite plates

The dynamic stability of infinitely wide composite plates subjected to suddenly applied thermal or mechanical loading is investigated. The stability analysis is performed by evaluating the largest Lyapunov exponent, the sign of which characterizes the nature of the response. It is shown that this approach forms an efficient tool which provides a quantitative and unequivocal answer to the question of dynamic buckling of composite plates subjected to various types of loading.

[1]  Jacob Aboudi,et al.  Dynamic stability analysis of viscoelastic plates by Lyapunov exponents , 1990 .

[2]  A. L. Florence,et al.  Dynamic pulse buckling , 1987 .

[3]  Bernard Budiansky,et al.  DYNAMIC BUCKLING OF ELASTIC STRUCTURES: CRITERIA AND ESTIMATES**This work was supported in part by the National Aeronautics and Space Administration under Grant NsG-559, and by the Division of Engineering and Applied Physics, Harvard University , 1967 .

[4]  J. Aboudi Mechanics of composite materials - A unified micromechanical approach , 1991 .

[5]  Isaac Elishakoff,et al.  Dynamic instability of shear-deformable viscoelastic laminated plates by lyapunov exponents , 1991 .

[6]  Wolfgang Hahn,et al.  Stability of Motion , 1967 .

[7]  J. Bernard,et al.  The Dynamic Response of Columns Under Short Duration Axial Loads , 1973 .

[8]  J. Aboudi,et al.  DYNAMIC INELASTIC RESPONSE AND BUCKLING OF METAL MATRIX COMPOSITE INFINITELY WIDE PLATES DUE TO THERMAL SHOCKS , 1995 .

[9]  Gabriel Cederbaum,et al.  Dynamic stability of nonlinear viscoelastic plates , 1994 .

[10]  George J. Simitses,et al.  Dynamic Stability of Suddenly Loaded Structures , 1989 .

[11]  Steven A. Orszag,et al.  Stability and Lyapunov stability of dynamical systems: A differential approach and a numerical method , 1987 .

[12]  Judah Ari-Gur,et al.  Dynamic pulse buckling of rectangular composite plates , 1997 .

[13]  Jacob Aboudi,et al.  PARAMETRIC STABILITY OF NON-LINEARLY ELASTIC COMPOSITE PLATES BY LYAPUNOV EXPONENTS , 2000 .