Thermo-Elastic Study of Sandwich Plates by Alternative Hierarchical Finite Element Method Based on Reddy’s C1HSDT

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

Keywords:

: Free vibration, thick composites plates, sandwich plate, hierarchical finite element method, C1 HSDT, heat conduction thermo-elastic analysis,

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