Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory

A two-dimensional global higher-order deformation theory is presented for thermal buckling of cross-ply laminated composite and sandwich plates. By using the method of power series expansion of continuous displacement components, a set of fundamental governing equations which can take into account the effects of both transverse shear and normal stresses is derived through the principle of virtual work. Several sets of truncated Mth-order approximate theories are applied to solve the eigenvalue problems of a simply supported multilayered plate. Modal transverse shear and normal stresses can be calculated by integrating the three-dimensional equations of equilibrium in the thickness direction, and satisfying the continuity conditions at the interface between layers and stress boundary conditions at the external surfaces. Numerical results are compared with those of the published three-dimensional layerwise theory in which both in-plane and normal displacements are assumed to be C0 continuous in the continuity conditions at the interface between layers. Effects of the difference of displacement continuity conditions between the three-dimensional layerwise theory and the global higher-order theory are clarified in thermal buckling problems of multilayered composite plates.

[1]  T. Kant,et al.  REFINED HIGHER ORDER FINITE ELEMENT MODELS FOR THERMAL BUCKLING OF LAMINATED COMPOSITE AND SANDWICH PLATES , 2000 .

[2]  Yogesh M. Desai,et al.  Thermomechanical Buckling of Laminated Composite Plates Using Mixed, Higher-Order Analytical Formulation , 2002 .

[3]  A. Leissa.  A Review of Laminated Composite Plate Buckling , 1987 .

[4]  Hiroyuki Matsunaga,et al.  A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings , 2004 .

[5]  Hiroyuki Matsunaga,et al.  Vibration and stability of angle-ply laminated composite plates subjected to in-plane stresses , 2001 .

[6]  Ahmed K. Noor,et al.  Assessment of Shear Deformation Theories for Multilayered Composite Plates , 1989 .

[7]  Hiroyuki Matsunaga,et al.  Assessment of a global higher-order deformation theory for laminated composite and sandwich plates , 2002 .

[8]  Ahmed K. Noor,et al.  Three-dimensional solutions for thermal buckling of multilayered anisotropic plates , 1992 .

[9]  Matsunaga Hiroyuki,et al.  A general nonlinear theory of elastic shells , 1974 .

[10]  Ahmed K. Noor,et al.  Three-Dimensional Solutions for the Thermal Buckling and Sensitivity Derivatives of Temperature-Sensitive Multilayered Angle-Ply Plates , 1992 .

[11]  C. Bert,et al.  The behavior of structures composed of composite materials , 1986 .

[12]  H. Matsunaga.  Vibration of cross-ply laminated composite plates subjected to initial in-plane stresses , 2002 .

[13]  J. N. Reddy,et al.  A review of refined theories of laminated composite plates , 1990 .

[14]  Hiroyuki Matsunaga,et al.  Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory , 2000 .

[15]  Leonard Meirovitch,et al.  Elements Of Vibration Analysis , 1986 .

[16]  Ahmed K. Noor,et al.  Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates , 1992 .

[17]  Tarun Kant,et al.  Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models , 2000 .

[18]  J. N. Reddy,et al.  Three-dimensional thermal analysis of laminated composite plates , 1995 .

[19]  Ahmed K. Noor,et al.  Three‐Dimensional Solutions for Initially Stressed Structural Sandwiches , 1994 .