EIGENLOAD FORMULATION OF THERMOELASTIC STRESS IN CYLINDERS

A general biorthogonality relation for the eigenload solutions in hollow cylinders of arbitrary cross section is derived, and used to develop a general thermoelastic analysis in the form of the local self-equilibrating plane strain solution, with corrections due to axial temperature gradients and end effects. The theory is developed in detail for circular cylinders, numerical values being given for solid cylinder eigenvalues with exp(inθ) variation, for n = 0, 1, 2. The problem of self-equilibrating end load representation is discussed and investigated numerically. The formulation is applied to the study of end effects in a solid cylinder, with uniform internal heat source and zero surface temperatures, and the numerical results verified by comparison with an alternative approach. © 1979.