Dislocations, Mesoscale Simulations and Plastic Flow by Ladislas Kubin

By Ladislas Kubin

Long ago two decades, new experimental techniques, greater types and development in simulation suggestions introduced new insights into long-standing concerns relating dislocation-based plasticity in crystalline fabrics. in this interval, three-d dislocation dynamics simulations seemed and reached adulthood. Their pursuits are to resolve the relation among person and collective dislocation techniques on the mesoscale, to set up connections with atom-scale reviews of dislocation center houses and to bridge, together with modelling, the distance among disorder homes and phenomenological continuum types for plastic circulation.

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 complete assurance of the actual physique of information on which they're dependent. It contains classical reviews, that are too frequently neglected, fresh experimental and theoretical advances, in addition to a dialogue of chosen functions on a variety of themes

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3). 4). At an upper level of description, elementary mechanisms should ideally be combined to yield an insight into collective dislocation behaviour of bulk crystals and, further, into their mechanical response (size effects in confined fcc materials are discussed in Chapter 5). 5). 6). The discovery of the intermittent and scale-free nature of elementary slip events, in bulk or confined materials, recently opened a new chapter in the study of collective dislocation processes. In the last ten or fifteen years the traditional modelling of hardening and patterning phenomena has largely benefited from new approaches, theoretical, experimental or by simulations.

The distance xs travelled during this transient is obtained by integrating eqn. 6 between t = 0 and t = ts , which yields xs = vs ts /e. 5 nm. When transient behaviour can be neglected, eqn. 8) The use of eqn. 8 is restricted to the motion of straight dislocations in materials exhibiting negligible Peierls stresses and to quasi-static deformation conditions. For curved dislocations, use is made of a modified form of eqn. 4). 1. 3 Dislocation–dislocation interactions This section is focused on the discrete mechanisms by which dislocations mutually interact.

2 25 Further implementation Implementing the elastic properties of dislocations with reasonably good accuracy no longer poses serious difficulties. This is not so for material-dependent mechanisms, which are incorporated in the form of constitutive rules adapted to a mesoscopic description. 3) deal in particular with thermally activated core properties like cross-slip or the overcoming of a strong lattice resistance. They are based on Arrhenius forms, through which temperature is introduced in the simulations.

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