When the impact of the core integral along S3 is negligible, only the integrals along the surfaces S2 and S4 have to be considered. The evaluation of these two integrals for a straight dislocation inside an infinite isotropic medium yields the classic formula for the dislocation energy [19,23,32]:
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| (3.16) |
where μ and ν are the shear modulus and the Poisson ratio, respectively, θ is the angle between the Burgers vector b and the dislocation line, and R is the outer cut-off radius.