The solution for a crystalline edge dislocation was presented within a framework of continuum linear elasticity, and was compared with the Peierls–Nabarro solution based upon a semi-discrete method. The atomic disregistry and the shear stress across the glide plane were considered. The Peach–Koehler configurational force was introduced as the gradient of the strain energy with respect to the dislocation position between its two consecutive equilibrium positions. The core radius was assumed to vary periodically between equilibrium positions of the dislocation. The critical force was expressed in terms of the core radii or the energies of the stable and unstable equilibrium configurations. This was used to estimate the Peierls stress for both wide and narrow dislocations.

Configurational Force on a Lattice Dislocation and the Peierls Stress. V.A.Lubarda, X.Markenscoff: Archive of Applied Mechanics, 2007, 77[2-3], 147-54