Abstract
The purpose of this paper is discuss critically the classical approach to the dislocation problem in linear equilibrium elasticity, and to provide a formulation in terms of variational principles. Even if the energy functional is not finite in the presence of a dislocation, we may still define a function of the defect position only, the normalized energy, which bears a close relation to the celebrated Peach-Kohler force. The case of anti-plane shear and linear isotropic elasticity is treated, due to the possibility of giving explicit representations of the involved fields.
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