Three-phase-lag functionally graded thermoelastic model having double porosity and gravitational effect

Abstract

In the present article, we have used the three-phase-lag model of thermoelasticity to formulate a two dimensional problem of non homogeneous, isotropic, double porous media with a gravitational field impact. Thermal shock of constant intensity is applied on the bounding surface. The normal mode procedure is employed to derive the exact expressions of the field quantities. These expressions are also calculated numerically and plotted graphically to demonstrate and compare theoretical results. The influences of non-homogeneity parameter, double porosity and gravity on the various physical quantities are also analyzed. A comparative study is done between three-phase-lag and GN-III models. Some limiting cases are also deduced from the current study.

Keywords

• Three-phase-lag
• Pores
• Fissures
• Gravity
• Normal mode analysis