Assessment of a global higher-order deformation theory for laminated composite and sandwich plates

Interlaminar stresses and displacements in cross-ply laminated composite and sandwich plates subjected to lateral pressures are analyzed by a global higher-order plate theory which can take into account the effects of both transverse shear and normal stresses. By using the method of power series expansion of continuous displacement components, a set of fundamental governing equations of a two-dimensional global higher-order theory for rectangular laminates subjected to lateral pressures is derived through the principle of virtual work. Several sets of truncated Mth-order approximate theories are applied to solve the static boundary value problems of a simply supported multilayered plate. Transverse shear and normal stresses can be calculated by integrating the three-dimensional equations of equilibrium in the thickness direction 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 single-layer (global) higher-order theory are clarified in multilayered composite plates.

[1]  N. Pagano,et al.  Exact Solutions for Composite Laminates in Cylindrical Bending , 1969 .

[2]  Chih‐Ping Wu,et al.  Vibration And Stability Of Laminated Plates Based On A Local High Order Plate Theory , 1994 .

[3]  Erasmo Carrera,et al.  Single- vs Multilayer Plate Modelings on the Basis of Reissner's Mixed Theorem , 2000 .

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

[5]  Erdogan Madenci,et al.  Analysis of thick sandwich construction by a {3,2}-order theory , 2001 .

[6]  E. Carrera.  Layer-Wise Mixed Models for Accurate Vibrations Analysis of Multilayered Plates , 1998 .

[7]  Chih‐Ping Wu,et al.  An interlaminar stress mixed finite element method for the analysis of thick laminated composite plates , 1993 .

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

[9]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

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

[11]  Erasmo Carrera,et al.  Transverse Normal Stress Effects in Multilayered Plates , 1999 .

[12]  Kostas P. Soldatos,et al.  On the stress analysis of cross-ply laminated plates and shallow shell panels , 1999 .

[13]  N. Pagano,et al.  Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates , 1970 .

[14]  Erasmo Carrera,et al.  A priori vs. a posteriori evaluation of transverse stresses in multilayered orthotropic plates , 2000 .

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

[16]  Chih‐Ping Wu,et al.  Interlaminar stresses analysis for laminated composite plates based on a local high order lamination theory , 1992 .

[17]  Charles W. Bert,et al.  Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory , 1991 .

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

[19]  Rakesh K. Kapania,et al.  Free vibration analysis of laminated plates using a layerwise theory , 1993 .

[20]  N. J. Pagano,et al.  Global-local laminate variational model , 1983 .

[21]  E. Carrera.  A study of transverse normal stress effect on vibration of multilayered plates and shells , 1999 .

[22]  Wang Yung-Ming,et al.  A three-dimensional analysis of anisotropic inhomogeneous and laminated plates , 1994 .