https://doi.org/10.1140/epjp/s13360-022-03160-1
Regular Article
Generalized thermoelastic MGT model for a functionally graded heterogeneous unbounded medium containing a spherical hole
1
Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Received:
27
January
2022
Accepted:
6
August
2022
Published online:
24
August
2022
This paper is intended to examine thermomechanical interactions within a functionally graded unbounded non-homogeneous solid with a spherical hole in a unified way using the Moore–Gibson–Thompson thermoelasticity (MGTE) model. The material has an inhomogeneity with the distribution of material properties in the radial direction determined by a power-law distribution. For the radial stress and temperature problems, the boundary conditions have been applied. The Laplace transform integral has been applied to get the analytical expressions for the thermophysical fields. Tables and graphs are shown to compare the accuracy of the suggested theory with the findings of previous models. The studied field variables have been numerically calculated and carefully discussed due to the effects of heterogeneity and relaxation.
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