Prediction of the plastic deformation of circular cylindrical shells

A study of plastic deformation of circular cylindrical shells subject to dynamic forces is presented. The five governing equations in terms of resultant forces and moments with respect to basic displacement vector components u, v and w are used. Theoretical formulations, based on first-order shear deformation theory (FSDT), take into consideration transverse shear deformation and rotary inertia. The deformation theory of plasticity is employed. Galerkin method is used to convert the partial differential equations (PDEs) to ordinary differential equations (ODEs). The Newmark family of methods is used to solve the system of five coupled second order ordinary differential equations. In order to prove the validity of the presented method and the solving process, the results obtained with the present analysis are compared with a set of available experimental data. Certainly, the aim of this paper is to create a more reliable and precise mathematical model of cylinders to avoid performing several experiments.