Narrow Results

The model of generalized thermoelasticity, with the dual-phase-lag theory (DPL), is applied to study the influence of gravity on a piezo-thermoelastic diffusive medium. Normal mode analysis is used to obtain the exact expressions for different physical quantities. The derived expressions are computed numerically and the results are presented in graphical form. Comparisons are made with the results predicted by the Lord–Shulman theory (LS) and the DPL model in the presence and absence of gravity.

In this paper, a novel model in a nonlocal porous thermoelastic solid is formulated based on the dual-phase-lag model (DPL), the Lord–Shulman theory and coupled theory with a memory-dependent derivative. The Laplace–Fourier technique is used to solve the problem and to obtain the exact expressions of physical fields. Numerical calculation of temperature, displacement, change in the volume fraction and stress is carried out and displayed graphically. Comparisons are made with the results predicted in the absence and presence of the gravity field as well as a nonlocal parameter. Comparisons are also made with results for different memory Kernel.