Paper
Generalized Thermoelastic Diffusion With Effect of Fractional Parameter on Plane Waves Temperature-Dependent Elastic Medium
- Authors:
- Sarhan. Y. Atwa
- Abstract
- The present paper is concerned with the investigation of disturbances in a homogeneous thermoelastic diffusion. The formulation is applied to the generali thermoelasticity, isotropic temperature-dependent elastic medium with fractional order eneralized based on the fractional time derivatives under the effect of diffusion. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using the normal mode analysis technique. These expressions are calculated numerically for a copper-like material and shown graphically. Effect of fractional parameter and presence of diffusion are analyzed theoretically and numerically. Comparisons are made with the results predicted by the fractional and without fractional order in the presence and absence of diffusion.
- Keywords
- Generalized Thermoelasticity; Fractional Parameter; Diffusion; Relaxation Time; Normal Mode Analysis
- StartPage
- 55
- EndPage
- 74
- Doi