Transient thermoelastic analysis of a semi-infinite circular plate with the power-law nonhomogeneity subjected to ramp-type sectional heating

Abstract

The main objective is to investigate the transient thermoelastic response on a nonhomogeneous semi-infinite elastic circular plate that is subjected to ramp-type heating over the concentric circular region of the upper face. The nonhomogeneous plate has thermo-mechanical properties expressed in the form of power-law through the plate thickness with variable z and with constant Poisson's ratio. The transient nonhomogeneous heat conduction differential equation is solved using a modified integral transformation technique in terms of modified Bessel functions. The associated thermal stress components are evaluated theoretically by incorporating the thermoelastic displacement potential feature based on the Boussinesq-Papkovich method. Numerical calculation is carried out the functionally graded ceramic – metal based material plate, in which partially stabilized zirconia (PSZ) and austenitic stainless steel (SUS304) are subjected to ramp-type heating on one of the plane boundaries; whereas the other plane boundary is held at zero temperature. The analyzed findings indicate strong consent with those available in the literature.

KEYWORDS:

• Heat conduction
• thermal stress
• nonhomogeneity
• semi-infinite plate

Acknowledgement

The author(s) are grateful to editor and reviewers for their valuable suggestions and constructive comments which resulted in revising the paper to its present form.

Disclosure statement

No potential conflict of interest was reported by the author(s).