In recent years, it was experienced in laboratory that a highly concentrated moving carbon dioxide gas laser beam applied to the surface of a soda glass plate causes a continuous peeling of the material surface. That is, as if a peeler for vegetables, there is a possibility that a damaged surface of the glass plate can be removed by laser beam if the mechanical background of this phenomenon is fully understood. In the present study, in order to grasp the characteristics of thermal stress distribution, a quasi-stationary thermoelastic analysis near the moving heat applied along the surface of the semi-infinite plate was carried out.