Accession Number : AD0855772

Title :   A General Solution to the Axisymmetric Thermoelasticity Problem in Cylindrical Coordinates.

Descriptive Note : Technical rept.,

Corporate Author : ARMY MISSILE RESEARCH DEVELOPMENT AND ENGINEERING LAB REDSTONE ARSENAL AL PHY SICAL SCIENCES DIRECTORATE

Personal Author(s) : Avery, John G.

Report Date : 01 MAY 1969

Pagination or Media Count : 36

Abstract : A general solution is developed for the stress and deformation of an isotropic elastic solid subjected to an axisymmetric temperature field. It is presumed that the bounding surfaces of the solid may be conveniently described in cylindrical coordinates r, theta, z. The temperature may be an arbitrary function of the radial and longitudinal coordinates. The solution is obtained by classical techniques within the uncoupled, quasi-static theory of thermoelasticity. Goodier's thermoelastic potential function is used in conjunction with the Boussinesq-Papkovitch functions of three-dimensional elasticity. General forms of the potential function are given. The results are applicable to the determination of thermal stresses due to the axisymmetric heating or cooling of medium length solid or hollow cylinders, including multilayered coaxial cylinders, made of isotropic elastic material. (Author)

Descriptors :   *THERMAL STRESSES), (*CYLINDRICAL BODIES, CONDUCTION(HEAT TRANSFER), STRAIN(MECHANICS), DEFORMATION, ELASTIC PROPERTIES, TEMPERATURE, BOUNDARY VALUE PROBLEMS, FOURIER ANALYSIS, POTENTIAL THEORY, SERIES(MATHEMATICS).

Subject Categories : Mechanics
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE