A refined theory of laminated shells with higher-order transverse shear deformation

Abstract Based on refined analysis, a theory of laminated composite shells with higher-order transverse shear deformation is presented. The continuity conditions of displacements and transverse shear stresses at layer interfaces and the conditions of zero transverse shear stresses on the surfaces of the shells are introduced to improve and simplify the displacement field. The number of the displacement unknowns and the order of the equilibrium equations are the same as in the first-order shear deformation theory, but the present theory can predict continuous parabolic transverse shear stresses. The closed-form solutions of simply-supported cross-ply shells are obtained and compared with the elasticity solutions and other theories' solutions. For both shallow and deep shells, the present solutions of displacements and in-plane stresses are very close to the elasticity solutions.

[1]  Anthony N. Palazotto,et al.  Laminated shell in cylindrical bending, two-dimensional approach vs exact , 1991 .

[2]  Maurice Touratier,et al.  A refined theory of laminated shallow shells , 1992 .

[3]  Xiaoping Shu,et al.  Thermomechanical buckling of laminated composite plates with higher-order transverse shear deformation , 1994 .

[4]  Linghui He,et al.  A linear theory of laminated shells accounting for continuity of displacements and transverse shear stresses at layer interfaces , 1994 .

[5]  N. N. Huang,et al.  Influence of shear correction factors in the higher order shear deformation laminated shell theory , 1994 .

[6]  M. Di Sciuva,et al.  An Improved Shear-Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates , 1987 .

[7]  Stanley B. Dong,et al.  On a Laminated Orthotropic Shell Theory Including Transverse Shear Deformation , 1972 .

[8]  Liviu Librescu,et al.  A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I: Free vibration and buckling , 1989 .

[9]  J. N. Reddy,et al.  A higher-order shear deformation theory of laminated elastic shells , 1985 .

[10]  J. Whitney,et al.  A Refined Theory for Laminated Anisotropic, Cylindrical Shells , 1974 .

[11]  Ahmed K. Noor,et al.  A posteriori estimates for shear correction factors in multilayered composite cylinders , 1989 .

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

[13]  Hung-Sying Jing,et al.  Refined shear deformation theory of laminated shells , 1993 .

[14]  Shu Xiao-ping,et al.  An improved simple higher-order theory for laminated composite plates , 1994 .

[15]  Shu Xiao-ping.  An improved simple higher-order theory for laminated composite shells , 1996 .