The material forces on arbitrary-oriented line singularities that are subjected to far-field loads in an infinite isotropic solid are evaluated by the path-independent J_k,M, and L-integrals. The translational forces,J_k, acting on these singularities are obtained in closed-form expressions which are shown to be equivalent to the generalized Peach-Koehler force. The self-similar expansion forces,M, for the nuclei of strain are obtained when the normal stresses exists. Likewise, the rotational forces,L, for the concentrated couple moment exists only when the normal stresses are present.