熱伝達率の任意な変化を考慮した円板の非定常温度と熱応力の解析解

The purpose of this paper is to present analytical methods of determining the transient temperature and in-plane thermal stress in a thin finite circular plate heated by the surrounding medium at the outer lateral surface and allowing arbitrary variations of heat-transfer coefficient along the radial position on the upper and lower surfaces of the plate. The transient temperature field is analyzed by modified Vodicka\u27s method for one-dimensional boundary value problems in composite regions, and the associated in-plane thermal stresses are determined taking the temperature dependency of Young\u27s modulus and the coefficient of linear thermal expansion into consideration