Symmetrical stress representations in the Stroh formalism for anisotropic elastic bodies were introduced and their range of applicability was analyzed. By using this representation, new formulae were derived for influence functions which gave the stresses in an infinite anisotropic medium that was subjected to a straight dislocation or a straight dislocation dipole. The advantage of these formulae was that they revealed explicitly a previously hidden symmetrical structure of the influence functions. The relationship of these influence functions, to those giving the stresses and Airy stress functions due to a straight wedge disclination, was also pointed out. The application of these results to the computation of stresses, using the hypersingular and regularized Somigliana stress identities, was considered.

Symmetrical Representation of Stresses in the Stroh Formalism and its Application to a Dislocation and a Dislocation Dipole in an Anisotropic Elastic Medium. V.Mantic, F.Paris: Journal of Elasticity, 1997, 47[2], 101-20