Advances in Materials Research

Volume 13, Number 4, 2024, pages 253-267

DOI: 10.12989/amr.2024.13.4.253

Influence of viscosity and locality on a fiber-reinforced thermoelastic solid with two different theories

Samia M. Said, Mohamed I.A. Othman and Esraa M. Gamal

Abstract

The current study attempts to discuss the effects of viscosity and locality on a fiber-reinforced thermoelastic solid. The problem is solved analytically in the context of the three-phase-lag model as well as the GreenNaghdi theory without energy dissipation (G-N II). The method of normal mode analysis is used to obtain analytical expressions for the displacement, stress, and temperature distributions. Compute the physical fields with suitable boundary conditions and perform numerical calculations using MATLAB programming. Comparisons are carried out with the results in the absence and presence of locality as well as viscosity. The locality and viscosity have great effects on all considered physical fields since the amplitudes of these quantities are vary. This procedure remains valid when a nonlocal elastic solid is replaced with an elastic one.

Key Words

nonlocal fiber-reinforced; three-phase lag-model; visco-thermoelastic

Address

Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519,Zagazig, Egypt