(Materials Science) 1st Edition
by Claude Fressengeas (Author)
Accompanying the present trend of
engineering systems aimed at size reduction and design at
microscopic/nanoscopic length scales, Mechanics of Dislocation Fields
describes the self-organization of dislocation ensembles at small length
scales and its consequences on the overall mechanical behavior of
crystalline bodies.
The account of the fundamental interactions
between the dislocations and other microscopic crystal defects is based
on the use of smooth field quantities and powerful tools from the
mathematical theory of partial differential equations. The resulting
theory is able to describe the emergence of dislocation microstructures
and their evolution along complex loading paths. Scale transitions are
performed between the properties of the dislocation ensembles and the
mechanical behavior of the body.
Several variants of this
overall scheme are examined which focus on dislocation cores,
electromechanical interactions of dislocations with electric charges in
dielectric materials, the intermittency and scale-invariance of
dislocation activity, grain-to-grain interactions in polycrystals, size
effects on mechanical behavior and path dependence of strain hardening.
