Abstract
Bending analysis of arbitrarily laminated, anisotropic panels and closed cylinders using the mixed shear deformation theory proposed by the authors is presented. A set of equilibrium, transverse shear compatibility and boundary conditions are obtained by using the mixed variational principle proposed by Jing and Liao (1989, Int. J. Numer. Meth. Engng28, 2813–2827) with displacements and transverse shear as independent variables. The zig-zag type displacement is assumed together with piecewise parabolic transverse shear. The initial curvature effect is included in the strain-displacement relations, stress resultants and assumed transverse shear stresses. Two types of shell geometry, infinitely long cylindrical panels and closed cylinders of finite length, are employed in the numerical study. The cylindrical panels considered are subjected to a transversely sinusoidal loading, while closed cylinders are under an uniform internal pressure. Numerical results presented here are compared with exact three-dimensional elasticity solutions. From these comparisons, it is found that this mixed shear deformation theory can supply reasonably good results.
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