Effect of a supporting rod on the integrity of a circular plate subjected to local heating

The authors examine the thermal field, subcritical stress state, and loss of stability in a circular plate reinforced along its boundary. The plate is subjected to axially symmetric heating by sources distributed over a region of the plate. The determination of critical parameters leads to the discovery of eigenvalues for a type-II Fredholm integral equation. It is shown that in the system under consideration both global and local failures of stability may occur. The effect of mechanical and thermal characteristics of the system on its thermal stress state and on the magnitude of the critical parameters is investigated.Translated from Matematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 29, pp. 1–4, 1989.