The energy momentum tensor in the presence of body forces and the Peach–Koehler force on a dislocation
نویسنده
چکیده
A modified energy momentum tensor, in the presence of body forces, is introduced and used to construct the nonconserved J, M, and L integrals, and to derive the energetic forces associated with a defect motion within the material. The J integral is then applied 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 is determined for different boundary conditions of interest in geomechanics. 2007 Elsevier Ltd. All rights reserved.
منابع مشابه
Determination of interaction forces between parallel dislocations by the evaluation of J integrals of plane elasticity
The Peach–Koehler expressions for the glide and climb components of the force exerted on a straight dislocation in an infinite isotropic medium by another straight dislocation are derived by evaluating the plane and antiplane strain versions of J integrals around the center of the dislocation. After expressing the elastic fields as the sums of elastic fields of each dislocation, the energy mome...
متن کاملConstraint Reaction and the Peach-koehler Force for Dislocation Networks
In the presence of dislocations, the elastic deformation tensor F is not a gradient, but satisfies the condition Curl F = ΛL (with the dislocation density ΛL, a tensor-valued measure concentrated in the dislocation L and F ). Then F ∈ Lp with 1 ≤ p < 2. This peculiarity is at the origin of the mathematical difficulties encountered with dislocations at the mesoscopic scale, which are here modele...
متن کاملPeach-koehler Forces within the Theory of Nonlocal Elasticity
We consider dislocations in the framework of Eringen’s nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are given. By the help of these nonlocal stresses, we are able to calculate the interaction forces between dislocations (Peach-Koehler forces). All ...
متن کاملTheory of interacting dislocations on cylinders.
We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The interaction energy and forces between dislocations are solved analytically, and analyzed asymptotically. The results of continuum elastic theory agree well with ...
متن کاملElastic energy of a straight dislocation and contribution from core tractions
We derive an expression of the core traction contribution to the dislocation elastic energy within linear anisotropic elasticity theory using the sextic formalism. With this contribution, the elastic energy is a state variable consistent with the work of the Peach-Koehler forces. This contribution needs also to be considered when extracting from atomic simulations core energies. The core energi...
متن کامل