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

Year 2018, , 83 - 98, 30.06.2018

Nadjib Serdoun

https://doi.org/10.36222/ejt.450789

Abstract

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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