Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory

- Journal title : Geomechanics and Engineering
- Volume 10, Issue 3, 2016, pp.357-386
- Publisher : Techno-Press
- DOI : 10.12989/gae.2016.10.3.357

Title & Authors

Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory

El-Hassar, Sidi Mohamed; Benyoucef, Samir; Heireche, Houari; Tounsi, Abdelouahed;

El-Hassar, Sidi Mohamed; Benyoucef, Samir; Heireche, Houari; Tounsi, Abdelouahed;

Abstract

In this research work, an exact analytical solution for thermal stability of solar functionally graded rectangular plates subjected to uniform, linear and non-linear temperature rises across the thickness direction is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the efficient hyperbolic plate theory based on exact neutral surface position is employed to derive the governing stability equations. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the quadratic distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Just four unknown displacement functions are used in the present theory against five unknown displacement functions used in the corresponding ones. The non-linear strain-displacement relations are also taken into consideration. The influences of many plate parameters on buckling temperature difference will be investigated. Numerical results are presented for the present theory, demonstrating its importance and accuracy in comparison to other theories.

Keywords

thermal buckling;solar functionally graded plate;analytical modeling;neutral surface position;

Language

English

Cited by

1.

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