Abstract
This paper presents a unified formulation of classical and refined finite, plate elements for bending and vibrations analysis of layered composites structures. Classical formulation which are based on displacement assumptions and Principle of Virtual Displacement (PVD) applications, are compared to advanced mixed elements which are formulated on the basis of Reissner's Mixed Variational Theorem (RMVT). Finite elements which preserve the independence of the number of the independent variables from the numbers of the Ni-layers (Equivalent Single Layer Models) as well as those elements in which the number of the unknown variables remains Ni-dependent (Layer Wise Models) are both considered. Linear up-to-fourth order expansions in the thickness direction are treated for the unknown stress and displacement variables. Extensive use of indicial notations has been made. As a results finite element matrices have been all written in terms of a few fundamental nuclei which have only 9 terms. Some results have been proposed to assess and compare the implemented elements. It is shown that the a priori fulfillment of the interlaminar continuity for transverse stresses makes mixed models more attractive than other available models that violate such a continuity.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call