On a continuum theory of dislocation equilibrium
نویسنده
چکیده
Victor L. Berdichevsky Mechanical Engineering, Wayne State University, Detroit MI 48202 USA; e-mail: [email protected] (Dated: March 2016) Abstract A continuum theory of dislocations is suggested which is capable of predicting the equilibrium distributions of a large number of screw dislocations in anisotropic beams with arbitrary cross-section. The theory leads to a boundary value problem with unknown boundary. The problem is solved for isotropic beams with circular cross-sections and thin rectangular cross-sections. The solution for circular cross-sections is compared with the results of numerical simulations by Weinberger (2011). An extension of the theory to equilibrium of edge dislocations is discussed.
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