Buckling of fiber-reinforced viscoelastic composite plates using various plate theories

This paper studies the quasi-static stability analysis of fiber-reinforced viscoelastic composite plates subjected to in-plane edge load systems. The study is based on a unified shear-deformable plate theory. This theory enables the trial and testing of different through-thickness transverse shear-strain distributions and, among them, strain distributions that do not involve the undesirable implications of the transverse shear correction factors. Using the method of effective moduli solves the equations governing the stability of simply supported fiber-reinforced viscoelastic composite plates. The solution concerns the determination of the critical in-plane edge loads associated with the asymptotic instability of plates. In a study of this problem the general quasi-static stability solutions are compared with those based on the classical, first-order and sinusoidal transverse shear-deformation theories. Numerical applications using higher-order shear-deformation theory are presented and comparisons with the results of other theories are formulated.

[1]  S. Timoshenko Theory of Elastic Stability , 1936 .

[2]  S. Ahmed,et al.  A review of particulate reinforcement theories for polymer composites , 1990 .

[3]  Zvi Hashin,et al.  The Elastic Moduli of Heterogeneous Materials , 1962 .

[4]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[5]  A. Zenkour,et al.  Stress concentration factor of a structurally anisotropic composite plate weakened by an oval opening , 2003 .

[6]  A. Zenkour,et al.  Bending response of a fiber-reinforced viscoelastic arched bridge model , 2003 .

[7]  M. Levinson,et al.  An accurate, simple theory of the statics and dynamics of elastic plates , 1980 .

[8]  Ashraf M. Zenkour,et al.  Analytical solution for bending of cross-ply laminated plates under thermo-mechanical loading , 2004 .

[9]  Chun-Gon Kim,et al.  VISCOELASTIC SANDWICH PLATES WITH CROSSPLY FACES , 1988 .

[10]  Zvi Hashin,et al.  Viscoelastic Behavior of Heterogeneous Media , 1965 .

[11]  E. Reissner,et al.  Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates , 1961 .

[12]  A. Zenkour Buckling and free vibration of elastic plates using simple and mixed shear deformation theories , 2001 .

[13]  A. Zenkour Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates , 2003 .

[14]  Dale W. Wilson,et al.  Viscoelastic analysis of laminated plate buckling , 1984 .

[15]  R. Christensen,et al.  A HIGH-ORDER THEORY OF PLATE DEFORMATION, PART 1: HOMOGENEOUS PLATES , 1977 .

[16]  Chien Ming Wang,et al.  Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions , 2000 .

[17]  J. Whitney Structural Analysis of Laminated Anisotropic Plates , 1987 .

[18]  J. N. Reddy,et al.  Theory and analysis of elastic plates , 1999 .

[19]  Ashraf M. Zenkour,et al.  Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories , 1999 .

[20]  Kostas P. Soldatos,et al.  A unified formulation of laminated composite, shear deformable, five-degrees-of-freedom cylindrical shell theories , 1993 .

[21]  Zvi Hashin,et al.  On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry , 1965 .