Thermo-mechanical buckling analysis of non-uniformly heated rectangular plates with temperature-dependent material properties

This paper examines the thermo-mechanical buckling behavior of a rectangular plate with temperature -dependent (TD) material properties exposed to non-uniform heating. The buckling analysis was performed by using the differential quadrature (DQ) method, which mainly includes three steps: (i) a two-dimensional (2D) non-linear heat transfer equation was proposed to obtain the temperature distribution in the plate considering the convective-radiative conditions on the plate surface; (ii) the in-plane stress distribution of the plate was obtained by solving the thermoelastic equilibrium equation; (iii) the critical load was determined by solving the stability equation based on the stress distribution in the previous step. The comparison study shows that the present results were in good agreement with the finite element (FE) solutions and the results reported in the literature. The effects of the surrounding temperature fields and in-plane load cases on the thermo-mechanical behavior of the plate are analyzed in detail.

Automated summary

This paper investigates the thermo-mechanical buckling behavior of a rectangular plate with temperature-dependent material properties under non-uniform heating. The buckling analysis is performed using the differential quadrature method, including three steps: proposing a 2D non-linear heat transfer equation to obtain the temperature distribution, solving the thermoelastic equilibrium equation to obtain the in-plane stress distribution, and determining the critical load by solving the stability equation. The results are compared with finite element solutions and literature data, showing good agreement. The effects of surrounding temperature fields and in-plane load cases on the thermo-mechanical behavior of the plate are analyzed in detail.