Nonlinear dynamic analysis of unsymmetric layered composite shells

Abstract

The concentration of the present study is on the transient dynamic analysis of composite shells given geometric nonlinearity. For this purpose, use is made of a 12-parameter shell model suited for thick composite structures and then strains and stresses are extracted. The so-called weak form is constructed based on the Hamilton's principle and for gaining the solution to the dynamic problem, the nonlinear finite element method, the total Lagrangian scheme, as well as the composite time integration approach are employed. To overcome the numerical anomalies pertaining to the four-node shell element, transverse shear, membrane and curvatures-thickness locking, appropriate approaches are taken into account. Finally, some problems are solved to evaluate the newly developed shell element and a comparison with the data available in the literature is made. © 2022 Elsevier Ltd