Admissible boundary conditions and solutions to internally pressurized thin arbitrarily laminated cylindrical shell boundary-value problems

Admissible boundary conditions are derived for an arbitrarily laminated internally pressurized cylindrical shell of finite length, under the framework of Donnell’s, Love–Timoshenko’s and Sanders’ kinematic relations, and the CLT (based on Love’s first approximation theory). Closed-form solutions for the same cylindrical shell are presented for Love–Timoshenko’s theory, with two sets of asymmetrically placed prescribed boundary conditions. As the first example, internally pressurized thin hybrid general (asymmetric) four-layer cylindrical shells with RS2-C4 boundary conditions, made of glass and carbon fiber reinforced composite layers, are numerically investigated. In the second example, the numerical results for two-layer asymmetrically laminated cylindrical shells, with RS2-SS1 boundary conditions, are compared with those, computed using triangular finite elements based on the layer-wise constant shear-angle theory (LCST), in order to evaluate the limit of applicability of the CLT.