Geomechanics and Engineering A

Volume 36, Number 1, 2024, pages 019-26

DOI: 10.12989/gae.2024.36.1.019

Effect of the gravity on a nonlocal micropolar thermoelastic media with the multi-phase-lag model

Samia M. Said

Abstract

Erigen's nonlocal thermoelasticity model is used to study the effect of viscosity on a micropolar thermoelastic solid in the context of the multi-phase-lag model. The harmonic wave analysis technique is employed to convert partial differential equations to ordinary differential equations to get the solution to the problem. The physical fields have been presented graphically for the nonlocal micropolar thermoelastic solid. Comparisons are made with the results of three theories different in the presence and absence of viscosity as well as the gravity field. Comparisons are made with the results of three theories different for different values of the nonlocal parameter. Numerical computations are carried out with the help of Matlab software.

Key Words

initial stress; micropolar; multi-phase-lags; nonlocal; viscosity

Address

Samia M. Said: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt