THERMAL STRESSES IN BODIES OF REVOLUTION

Technical Report · Tue Jul 01 04:00:00 EDT 1958

OSTI ID:4302694

deVries, J P; Oerth, R A

A method is presented for solving, by relaxation techniques, the problem of thermal stresses in bodies of revolution, subjected to a non-uniform but axially symmetric temperature distribution. Thermal stress problems can be solved by replacing the temperature distribution with certain body forces and surface tensions, and it is shown that the stresses can be expressed in terms of two stress functions which satisfy differential equations of the types of Laplace and Poisson. The stress functions are similar to those formulated by Southwell for the case of zero body forces and with the express purpose of solution by relaxation methods. It is shown that the introduction of body forces does not cause any additional difficulties in Southwell's treatment of bodies with closed cavities. The application of the method is illustrated by the calculation of thermal stresses in a nuclear reactor component, an axially symmetric body subjected to a known temperature distribution. The relaxation technique is discussed in some detail with respect to hand calculations as well as application of an IBM-704 digital computer. In a second example, thermal stresses in a solid sphere subject to a sudden change of temperature at its surface, computed stresses are shown to agree with analytically known values. (auth)

• Research Organization: Westinghouse Electric Corp. Bettis Plant, Pittsburgh
• DOE Contract Number: AT(11-1)-GEN-14
• NSA Number: NSA-13-000810
• OSTI ID: 4302694
• Report Number(s): WAPD-201
• Country of Publication: United States
• Language: English

Related Subjects

COMPUTERS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
NUMERICALS
PHYSICS AND MATHEMATICS
REACTORS
RELAXATION
SOLIDS
SPHERES
SURFACE TENSION
SURFACES
TEMPERATURE
THERMAL STRESSES
USES