Refined computational models for laminated shells
Résumé
This paper presents refined computational models for non homogeneous, deep, doubly curved shells. The theory is based on a kinematical approach in which the continuity conditions for displacements and shear stresses at layer interfaces and on the bounding surfaces of the shell are exactly satisfied, while at the same time, refinements of the transverse shear and membrane are taken into account by means of trigonometric functions. The accuracy of the model is assessed in statics and dynamics through investigation of significant problems, for which an exact three-dimensional elasticity solution is known. Finite element approximations of this model have been developed for both laminated plates/shells, and beam under bending torsion coupling including warping. Further extension of the proposed model are piezoelectric laminates.