By Ladislas Kubin
Some time past two decades, new experimental techniques, enhanced versions and development in simulation strategies introduced new insights into long-standing concerns pertaining to dislocation-based plasticity in crystalline fabrics. in this interval, 3-dimensional dislocation dynamics simulations seemed and reached adulthood. Their goals are to resolve the relation among person and collective dislocation procedures on the mesoscale, to set up connections with atom-scale reviews of dislocation middle homes and to bridge, together with modelling, the space among illness houses and phenomenological continuum versions for plastic stream.
Dislocation dynamics simulations have gotten available to quite a lot of clients. This ebook offers to scholars and researchers in fabrics technology and mechanical engineering a entire assurance of the actual physique of information on which they're established. It contains classical experiences, that are too usually overlooked, fresh experimental and theoretical advances, in addition to a dialogue of chosen functions on a variety of issues
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Additional info for Dislocations, Mesoscale Simulations and Plastic Flow
1 Brief historical sketch The treatment of the self-stress of a curved segment initiated by Brown (1964) allowed assessment of the accuracy of the most reﬁned line tension models. 1). The analytical treatment of the solutions was, however, too complex to be carried out in the general case. Thus, two-dimensional (2D) simulations of the equilibrium shapes of dislocations segments bowing under stress in their slip plane were initiated by the end of the 1960s (Foreman, 1967; Bacon, 1967). To simplify the calculations the curved segments were decomposed into a succession of straight segments connected by 24 BAC K G RO U N D A N D D E F I N I T I O N S nodes.
The interaction of dislocations gliding in parallel slip planes is called the selfinteraction when the Burgers vectors are colinear (Fig. 3a) and the coplanar interaction when they are not (Fig. 3b). In both cases, the mutual trapping of attractive dislocations may result in dipole formation. Self- and coplanar interactions in a single slip plane may lead respectively to direct annihilation or to the formation of a fully glissile segment having the third coplanar Burgers vector. The probability of occurrence of such conﬁgurations is, however, quite low when dislocations glide but cannot climb.
In addition, there may be interaction stresses with other dislocation lines, τint , stresses arising from other obstacles than dislocations, τobs , and image stresses, τim . 18) Additional contributions can be added when necessary. The lattice resistance requires a speciﬁc treatment (see next section) and should preferably not be included in eqn. 18. When the effective stress τ ∗ on a dislocation is positive, it governs its velocity. 2 Governing mechanisms The velocity of a single dislocation is modelled in different manners according to the magnitude of the effective stress and the nature of its interactions with various crystal defects or the lattice itself.