Geomechanics and Engineering A
Volume 40, Number 2, 2025, pages 103-110
DOI: 10.12989/gae.2025.40.2.103
Influence of inclined load, locality, and gravity on a thermoelastic medium with temperature-dependent properties using Lord-Shulman model
Samia M. Said
Abstract
The impact of inclined load on a nonlocal thermoelastic solid is discussed in this work. Based on the Lord-Shulman model, the fundamental equations for a nonlocal thermoelastic half-space medium are developed. Given as a linear function of the reference temperature is the modulus of elasticity. To address the problem and acquire the exact expressions of physical fields, appropriate non-dimensional variables and normal mode analysis are used. The anticipated outcomes for various gravity field values, the nonlocal parameter, the empirical material constant, and the inclined load are compared. Physical variables are affected by nonlocal thermoelasticity, the empirical material constants, and the inclined load.
Key Words
gravity field; inclined load; nonlocal parameter; temperature-dependent properties
Address
Samia M. Said: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt