Fundamental Solution for a Prismatic Dislocation Loop in a Two-Phase Transversely Isotropic Elastic Material Considering Interfacial Energy

抄録

Intrinsic mechanical stresses exist in a general interface, because of an interface atomic structure changes relative to the bulk. This paper presents fundamental solutions using the interrelationships between surface stresses and bulk stresses deduced in the previous paper. The interfacial stresses have a close relationship with an interfacial energy and the geometry(mean curvature)of interface. In this paper, the fundamental solutions for a prismatic dislocation loop with a radius a in transversely isotropic materials are derived using the three-dimensional theory of elasticity. Furthermore, solutions and potential functions for a dislocation loop with an arbitrary shape loop in a two-phase transversely isotropic material were derived. The stress distributions taking into account of the interfacial energy were compared with that taking into no account. Stresses for the former were larger than the latter. Finally, we deduced the relationship between a prismatic dislocation loop and a dislocation-like deformation generated by changing locally the free energy in materials.