Thermal Stresses in Elastic Axially Symmetrical Bodies

Abstract

The thermal stresses in axially symmetrical elastic bodies with irregular boundaries can only be obtained using finite difference techniques. Hoyle demonstrated that a solution can be computed by using the two-diagram technique but the two stress functions used have proved to be difficult to handle. These difficulties are analysed and two other stress functions are suggested which have several advantages, one of which is that these functions converge satisfactorily when completely relaxed alternately. The boundary conditions which these functions must satisfy have been rationalized and a new approach to boundaries developed which removes the worst of the difficulties formerly associated with curved boundaries.