The Temperature Distribution of a Two‐Dimensional Thermoelastic Material with Voids

Abstract

In this paper, an attempt has been made to investigate the temperature field in a two-dimensional thermoelastic medium with voids. This takes place when it is subjected to a time-dependent temperature source under the conditions of conduction heat transfer and interaction between the thermoelastic medium and its surroundings. Analytical expressions of displacements, stresses, temperature increment, and change in the volume fraction field for a layer of thermoelastic medium and a half-space thermoelastic problem are derived by using the Laplace and Fourier transformation techniques. Two scalar potential functions of the displacement are introduced in the solution process. Then, the integral transform is inverted by using a numerical technique, and numerical results are illustrated graphically to analyze the distribution of the fields. Furthermore, the influence of the thermo-void coefficient for two kinds of temperature boundaries is discussed. A comparison is also presented with the corresponding half-space thermoelastic model without voids to ascertain the validity and the difference between these models.

Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties

“…Quintanilla and Racke 9 provided a comprehensive analysis of the stability characteristics associated in the three-phase-lag heat conduction equation, as well as the interrelationships among all three distinct phase-lag parameters. Extensive research has been conducted utilizing these theoretical frameworks, one can look at Liu et al, 10 Sheoran et al, 11 Sobhy and Zenkour, 12 Kumari and Singh, 13 and Lata and Singh. 14 The theories pertaining to porous media hold significant significance in various engineering disciplines, such as petroleum industry, material science, bone mechanics, chemical engineering and other associated fields.…”

“…Quintanilla and Racke 9 provided a comprehensive analysis of the stability characteristics associated in the three‐phase‐lag heat conduction equation, as well as the interrelationships among all three distinct phase‐lag parameters. Extensive research has been conducted utilizing these theoretical frameworks, one can look at Liu et al, 10 Sheoran et al, 11 Sobhy and Zenkour, 12 Kumari and Singh, 13 and Lata and Singh 14 …”