Transent Thermal Stresses in a Thin Circular Disk due to a Moving Point Source of Heat on a Concentric Circle

원판(圓板)에서 동심원상(同心圓上)을 이동(移動)하는 열원(熱源)에 의(依)한 과도적(過渡的) 열응력해석(熱應力解析)

Analytical solutions for the transient temperature distribution and quasi-static thermal stresses which arise in a thin circular disk of finite radius subjected to an instantaneous point source acting in its interior have been obtained. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions given are in the form of double infinite serieses, and their numerical results have been compared with the experimental temperature histories. It can be found out that the theoretical histories of thermal stresses show a good agreement with the experimental results and the theoretical histories of thermal stresses show a good qualitative agreement with a physical phenomena. The solutions can be applied to the problems such as a flame hardening of the cylindrical machine elements and a circular patch welding or a circular cutting of the structural member.