A General Solution to the Axisymmetric Thermoelasticity Problem in Cylindrical Coordinates.
ARMY MISSILE RESEARCH DEVELOPMENT AND ENGINEERING LAB REDSTONE ARSENAL AL PHY SICAL SCIENCES DIRECTORATE
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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. Goodiers 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
- Solid State Physics