Transient Thermal Stress in a Circular Cylinder in Asymmetric Contact with Rigid Bodies.

Abstract

The present paper discusses a plane strain problem of transient thermoelasticity in a circular cylinder which is in asymmetric contact with rigid bodies. Employing Airy's thermal stress function, this problem can be formulated in terms of a dual-series equation which is reduced to a simultaneous algebraic equation by means of Neumann's series. The radial, hoop and axial stresses have singularities at the end of the contact surface of the cylinder. The stress singularity coefficients are introduced and the relations among three coefficients are derived. Finally numerical results for the temperature, radial displacement, stresses and stress singularity coefficients are illustrated graphically.