THERMO-ELASTIC STUDY OF SANDWICH PLATES BY ALTERNATIVE HIERARCHICAL FINITE ELEMENT METHOD BASED ON REDDY’S C1HSDT

Abstract

The dynamic behavior of a structure is influenced by the environment in whichit is located it among the community seeking more structure, we have thethermal loading, this work investigates a plate sandwich subjected to thermalstress, the modeling of the plate is made by a third order model developed byReddy TSDT (Third Order Shear Deformation Theory), while the TLT theory(Theory Thermal Layers) is used to transform the three-dimensional problemto a two-dimensional thermal problem. Next, a rectangular-p element withfour nodes at the vertices and four sides is used to model the structure, andthe thermal conduction. In the structure part, the forms used functions aretrigonometric family C0 type for membrane displacements and rotations andtype C1 for inflected movements, the thermal portion is modeled by C0 typesof shape functions where the degrees of freedom to the nodes are thetemperature, the temperature gradient and the temperature curve, thethermoelastic study to determine the displacements of the submerged plate bythe method of integration time PTIM (Precis Time Integration Method).Finally, a study of convergence of the developed numerical code is made, thefound results are validated with those found in the literature, and differentparametric studies are made for the sandwich plates in different situations,structure, and thermo- elastic.