Thermoelastic stresses in a cylinder or disk with cubic anisotropy

The thermoelastic stresses in a crystal in the shape of a circular cylinder or disk are considered[ The crystal is a cubically!orthotropic linear elastic solid\ with three independent elastic properties[ The cubic anisotropy renders the problem asymmetric\ despite the axisymmetry of the geometry and thermal loading[ This problem is motivated by a thermoelastic model used for certain crystal growth processes[ Two simplifying assumptions are made here] "a# the problem is two!dimensional with plane strain or plain stress conditions\ and "b# the elastic properties do not depend on the temperature[ A new Fourier!type perturbation method is devised and an analytic asymptotic solution of a closed form is obtained\ based on the weak cubic anisotropy of the crystal as a perturbation parameter[ A general solution technique is described which yields the asymptotic solution up to a desired order[ Numerical results are presented for typical parameter values