A modified energy momentum tensor, in the presence of body forces, was introduced and used to construct the non-conserved J, M and L integrals, and to derive the energetic forces associated with defect motion in the material. The J-integral was then used to evaluate the Peach–Koehler force on an inclined edge dislocation within a large block due to its own weight. The equilibrium position of the dislocation was determined for various boundary conditions of interest in geomechanics.

The Energy Momentum Tensor in the Presence of Body Forces and the Peach–Koehler Force on a Dislocation. V.A.Lubarda: International Journal of Solids and Structures, 2008, 45[6], 1536-45