The Effect of Temperature Dependency on the Thermo-Electro-Elastic Analysis of Functionally Graded Piezoelectric Spherical Shell

Results of electro-thermo-elastic analysis of a functionally graded thick-walled spherical shell made of temperature dependent materials are presented in this article. All material properties are assumed temperature-dependent and also are graded along the thickness direction based on power function. Temperature dependency is accounted for all material properties including, thermal, mechanical and electrical properties based on linear variation. Thermal conduction relation is solved using thermal boundary conditions at inner and outer radii for temperature dependent and independent cases. Substitution of temperature distribution into constitutive relations and then into equilibrium and Maxwell equations would give final governing equations having variable thickness. The variable coefficient governing equations are solved using the division method. The numerical results are presented for both temperature-dependent and temperature-independent cases so as to investigate the effect of temperature dependencies. The results indicate that considering temperature dependency would lead to significant changes in responses including radial and circumferential displacements and stresses, electric potential and temperature distribution.

Keywords:

Temperature dependent materials , Functionally graded spherical shell , Division method , Thermal conductivity , Maxwell equation