Effect of several fields on a generalized thermoelastic medium with voids in the context of Lord-Shulman or dual-phase-lag models

Abstract

The aim of the present study is concerned with an electromagnetic field, gravity field, rotation and initial stress on generalized thermoelastic medium with voids in the dual-phase-lag model (DPL) and Lord-Shulman (L-S). The problem deals with more applications in geophysics, engineering, acoustics, astronomy, industry, and petroleum extraction. A normal mode method is proposed to analyze the problem and obtain numerical solutions for the displacement components, stresses, temperature distribution and change in the volume fraction field. The results of the physical quantities have been illustrated graphically by comparison between (DPL) and Lord-Schulman (L–S) theory in the presence and absence of the considered variables. The results indicate that the effect of the voids, rotation, initial stress and gravity field is very pronounced. If the external previous parameters neglect, the results obtained considering diffusion are deduced to the results obtained by Abo-Dahab and Abd-Alla.

Keywords:

• Electromagnetic field
• gravity field
• rotation
• initial stress
• voids
• Normal mode analysis
• Lord-Shulman
• Dual-phase-lag