3D dislocation dynamics: stress–strain behavior and hardening mechanisms in fcc and bcc metals

A dislocation dynamics (DD) model for plastic deformation, connecting the macroscopic mechanical properties to basic physical laws governing dislocation mobility and related interaction mechanisms, has been under development. In this model there is a set of critical reactions that determine the overall results of the simulations, such as the stress-strain curve. These reactions are, annihilation, formation of jogs, junctions, and dipoles, and cross-slip. In this paper we discuss these reactions and the manner in which they influence the simulated stress- strain behavior in fcc and bcc metals. In particular, we examine the formation (zipping) and strength of dipoles and junctions, and effect of jogs, using the dislocation dynamics model. We show that the strengths (unzipping) of these reactions for various configurations can be determined by direct evaluation of the elastic interactions. Next, we investigate the phenomenon of hardening in metals subjected to cascade damage dislocations. The microstructure investigated consists of small dislocation loops decorating the mobile dislocations. Preliminary results reveal that these loops act as hardening agents, trapping the dislocations and resulting in increased hardening.

[1]  R. Smallman,et al.  Vacancies '76 : proceedings of a conference on "Point defect behaviour and diffusional processes", organized by the Metals Society and held at the Royal Fort, University of Bristol, on 13-16 September, 1976 , 1977 .

[2]  Jens Lothe John Price Hirth,et al.  Theory of Dislocations , 1968 .

[3]  Hussein M. Zbib,et al.  On plastic deformation and the dynamics of 3D dislocations , 1998 .

[4]  B. N. Singh,et al.  Segregation of cascade induced interstitial loops at dislocations: possible effect on initiation of plastic deformation , 1997 .

[5]  J. Weertman,et al.  Dislocation mobility in potassium and iron single crystals , 1975 .

[6]  H. Mughrabi,et al.  Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities , 1979 .

[7]  D. Kuhlmann-wilsdorf,et al.  Low energy dislocation structures due to unidirectional deformation at low temperatures , 1986 .

[8]  S. Mader,et al.  Work Hardening and Dislocation Arrangement of fcc Single Crystals. II. Electron Microscope Transmission Studies of Ni–Co Single Crystals and Relation to Work‐Hardening Theory , 1963 .

[9]  U. F. Kocks A statistical theory of flow stress and work-hardening , 1966 .

[10]  L. Kubin Dislocation patterning during multiple slip of F.C.C. crystals : a simulation approach , 1993 .

[11]  H. Mughrabi A two-parameter description of heterogeneous dislocation distributions in deformed metal crystals , 1987 .

[12]  R. Fleischer,et al.  Solution hardening by tetragonal dist ortions: Application to irradiation hardening in F.C.C. crystals , 1962 .

[13]  Preston,et al.  Large-scale molecular dynamics simulations of dislocation intersection in copper , 1998, Science.

[14]  Kazutoshi Tanabe,et al.  Computer-aided materials design. , 1993 .

[15]  P. J. Woods Low-amplitude fatigue of copper and copper-5 at. % aluminium single crystals , 1973 .

[16]  Hussein M. Zbib,et al.  Modeling of deformation by a 3D simulation of multiple, curved dislocations , 1996 .

[17]  D. L. Holt,et al.  Dislocation Cell Formation in Metals , 1970 .