Torsional Stress Interference in Transverse Isotropy

Abstract

An unbounded homogeneous transversely isotropic body of revolution containing two twin spheroidal cavities is subjected to a torsional loading at infinity. The axis of twist coincides with the axis of elastic symmetry of the material and the axis of revolution of the body. The linear elasticity solution is obtained in series form by employing the Lekhnitskii stress function approach, and numerical results are presented for the case of two spherical cavities perturbing the Saint‐Venant torsion field for a circular cylinder. Of particular interest is the influence of cavity spacing and material constants on the degree of stress interference between the two perturbations.