It was recalled that intrinsic mechanical stresses existed, in a general interface, because of the difference in the interface’s atomic structure with respect to that of the bulk. Fundamental solutions were presented which were based upon the interrelationship between surface stress and bulk stress. The interfacial stresses were closely related to the interfacial energy and geometry (mean curvature) of the interface. Fundamental solutions for a prismatic dislocation loop in a transversely isotropic materials were derived by using the three-dimensional theory of elasticity. Solutions and potential functions were also derived for a dislocation loop of arbitrary shape in a two-phase transversely isotropic material. Stress distributions which took account of interfacial energy were compared with those that did not. The stresses in the former case were larger than those in the latter.

Fundamental Solution for a Prismatic Dislocation Loop in a Two-Phase Transversely Isotropic Elastic Material considering Interfacial Energy. H.Koguchi: JSME International Journal A, 1998, 41[4], 465-72