Thermal Stress Concentrations in the Transient Two-Dimensional Temperature Field : Plate with a Semi-circular Notch

Abstract

In order to investigate the fundamental features of the transient two-dimensional thermal stress concentrations, a semi-infinite plate with a semi-circular notch in the transient two-dimensional temperature field is analyzed. The temperature and stress distributions are calculated by using the finite-difference method with reference to the polar coordinate system. The value of the thermal stress concentration factor K grows larger with the Biot number B and the Fourier number F, but the influence of variation of the B-value on the K-value becomes rapidly smaller. The results obtained from photothermoelastic experiments by using the through-flowing cooling technique are similar to the analytical solutions. However, both are quantitatively somewhat different from each other. Investigating the cause of this discrepancy, an approximate calculation method of the K-value in a plate with finite depth is also proposed.