On Dislocations in a Special Class of Generalized Elasticity

Details On Dislocations in a Special Class of Generalized Elasticity On Dislocations in a Special Class of Generalized Elasticity

2005-04-12

arxiv.org/abs/cond-mat/0504291v1

Physics

Condensed Matter

Materials Science

28 pages, to appear in: physica status solidi

Scientific paper

10.1002/pssb.200540078

In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient. Equilibrium equations are discussed. The relationship between the gradient theory and the nonlocal theory is discussed for elasticity as well as for micropolar elasticity. Nonsingular solutions for the elastic fields of screw and edge dislocations are given. Both the elastic deformation (distortion, strain, bend-twist) and the force and couple stress tensors do not possess any singularity unlike `classical' theories.

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