Temperature Stresses in Irregular Solids

Abstract

HITHERTO it has not been possible to express temperature stresses in a form capable of numerical solution, in an axially symmetrical body of irregular shape in which temperature variations occur in both the radial and axial directions. Such conditions are present in solid rotors of turbines, a problem which has been the subject of study here and elsewhere. The three points of difficulty were: (1) irregular boundaries, (2) temperature gradients in two directions at right angles, and (3) transient state of temperature distribution. Stress functions suitable for use with the relaxation technique could not be found where those conditions held.