The Dislocation as a Fundamental New Concept in Continuum Mechanics
The main object of this paper is to give the connection between macro and micromechanics (or continuum mechanics and solid state physics) as far as it can be delineated today. The theory of the residual stress state is rather well-developed. The state is described geometrically by elastic strain and lattice curvature, the latter being equivalent to the dislocation density. The static description uses force and couple stresses, the latter being the reaction of the body against the lattice curvature. The material constant connecting bending-type lattice curvature with the corresponding couple stress is derived by applying elasticity theory on a microscopic scale. The material constant depends on the ordinary elastic constants of the body and on the distance of the glide planes of the dislocations. Beside these positive results, the paper contains an outline of what still has to be done.
KeywordsDislocation Density Continuum Theory Couple Stress Screw Dislocation Dislocation Loop
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