A higher-order shear deformation theory of laminated elastic shells

A higher-order shear deformation theory of elastic shells is developed for shells laminated of orthotropic layers. The theory is a modification of the Sanders' theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces of the shell. The Navier-type exact solutions for bending and natural vibration are presented for cylindrical and spherical shells under simply supported boundary conditions.

[1]  S. T. Gulati,et al.  Effects of Anisotropy in Axisymmetric Cylindrical Shells , 1967 .

[2]  C. Sun,et al.  A higher order theory for extensional motion of laminated composites , 1973 .

[3]  Teh-Min Hsu,et al.  A theory of laminated cylindrical shells consisting of layers of orthotropic laminae , 1970 .

[4]  Stanley B. Dong,et al.  On the Theory of Laminated Anisotropic Shells and Plates , 1962 .

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

[6]  A. E. H. Love,et al.  The Small Free Vibrations and Deformation of a Thin Elastic Shell , 1887 .

[7]  E. Reissner,et al.  Stress Strain Relations in the Theory of Thin Elastic Shells , 1952 .

[8]  C. W. Bert.  Literature Review : Damping of Composite and Sandwich Panels: Part I , 1976 .

[9]  J. N. Reddy,et al.  Exact Solutions of Moderately Thick Laminated Shells , 1984 .

[10]  J. N. Reddy,et al.  Energy and variational methods in applied mechanics , 1984 .

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

[12]  C. W. Bert.  Damping of Composite and Sandwich Panels: Part II , 1976 .

[13]  J. N. Reddy,et al.  A refined nonlinear theory of plates with transverse shear deformation , 1984 .

[14]  Jack R. Vinson,et al.  Laminated Transversely Isotropic Cylindrical Shells , 1971 .

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

[16]  J. N. Reddy,et al.  A comparison of closed-form and finite-element solutions of thick laminated anisotropic rectangular plates , 1981 .