Geomechanics and Engineering A

Volume 39, Number 4, 2024, pages 397-405

DOI: 10.12989/gae.2024.39.4.397

Influence of gravity and viscosity on a fiber-reinforced thermoelastic solid with voids via the three-phase-lag model

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

Abstract

The goal of this work is to examine how a fiber-reinforced thermoelastic half-space with voids is affected by the gravity field and viscosity. The displacement, stress, and temperature distributions' analytical formulas are obtained from the normal mode analysis. The problem is analytically addressed using a three-phase-lag model. Use MATLAB programming to determine the physical fields with appropriate boundary conditions and carry out numerical computations. Examine the outcomes in the absence and presence of gravity, viscosity as well as reinforcement. Graphs are used to visualize and analyze computational findings. Theoretical as well as numerical results reveal that all the field variables are sensitive towards the gravity field, the viscosity, and the reinforcement.

Key Words

gravity; fiber-reinforced; normal mode analysis; three-phase-lag model; visco-thermoelastic

Address

Mohamed I.A. Othman, Samia M. Said, Rania A. Fathy and Esraa M. Gamal: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt