An efficient C1 finite element with continuity requirements for multilayered/sandwich shell structures

Abstract

This paper deals with a new triangular finite element to analyze the behaviour of multilayered shells. This element is based on a refined kinematical model and uses both conforming finite element method and higher-order approximations. Including a nonlinear distribution with respect to the normal co-ordinate for the transverse shear stresses and continuity requirements between layers for both transverse shear stresses and displacements, this model does not require any shear correction factors. Moreover, it allows to satisfy the boundary conditions at the top and bottom surfaces of the shell. Various strain expressions available for shells are discussed. Although the program is able to calculate arbitrary shell shapes, present shell element performances are evaluated here in comparison with available analytical tests issued from literature. The present finite element shown very good responses on the classical shell test: pinched cylinder, pinched hemispherical shell, Scordelis–Lo roof. Finally, results in linear static, free vibrations and transient dynamic response for multilayered shells show the efficiency of this new shell finite element.