Dislocation multi-junctions and strain hardening

At the microscopic scale, the strength of a crystal derives from the motion, multiplication and interaction of distinctive line defects called dislocations. First proposed theoretically in 1934 (refs 1–3) to explain low magnitudes of crystal strength observed experimentally, the existence of dislocations was confirmed two decades later. Much of the research in dislocation physics has since focused on dislocation interactions and their role in strain hardening, a common phenomenon in which continued deformation increases a crystal's strength. The existing theory relates strain hardening to pair-wise dislocation reactions in which two intersecting dislocations form junctions that tie the dislocations together. Here we report that interactions among three dislocations result in the formation of unusual elements of dislocation network topology, termed ‘multi-junctions’. We first predict the existence of multi-junctions using dislocation dynamics and atomistic simulations and then confirm their existence by transmission electron microscopy experiments in single-crystal molybdenum. In large-scale dislocation dynamics simulations, multi-junctions present very strong, nearly indestructible, obstacles to dislocation motion and furnish new sources for dislocation multiplication, thereby playing an essential role in the evolution of dislocation microstructure and strength of deforming crystals. Simulation analyses conclude that multi-junctions are responsible for the strong orientation dependence of strain hardening in body-centred cubic crystals.

[1]  G. Saada Sur le durcissement dû à la recombinaison des dislocations , 1960 .

[2]  Huajian Gao,et al.  Simulating materials failure by using up to one billion atoms and the world's fastest computer: Work-hardening , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[3]  P. Franciosi,et al.  Latent hardening in copper and aluminium single crystals , 1980 .

[4]  H. Mughrabi,et al.  Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals , 1983 .

[5]  Wei Cai,et al.  Scalable Line Dynamics in ParaDiS , 2004, Proceedings of the ACM/IEEE SC2004 Conference.

[6]  R. W. Horne,et al.  Direct Observations of the Arrangement and Motion of Dislocations in Aluminium , 1956 .

[7]  V. Lepping Work Hardening , 1990, AAOHN journal : official journal of the American Association of Occupational Health Nurses.

[8]  W. T. Read,et al.  Multiplication Processes for Slow Moving Dislocations , 1950 .

[9]  P. L. Pratt,et al.  The Effect of Orientation on the Yielding and Flow of Molybdenum Single Crystals , 1966, 1966.

[10]  M. Finnis,et al.  A simple empirical N-body potential for transition metals , 1984 .

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

[12]  P. Hähner,et al.  Dislocation dynamics and work hardening of fractal dislocation cell structures , 1999 .

[13]  R Madec,et al.  From dislocation junctions to forest hardening. , 2002, Physical review letters.

[14]  L. P. Kubin,et al.  The modelling of dislocation patterns , 1992 .

[15]  G. Taylor The Mechanism of Plastic Deformation of Crystals. Part I. Theoretical , 1934 .

[16]  M. Polanyi,et al.  Über eine Art Gitterstörung, die einen Kristall plastisch machen könnte , 1934 .

[17]  Nasr M. Ghoniem,et al.  Affine covariant-contravariant vector forms for the elastic field of parametric dislocations in isotropic crystals , 2002 .

[18]  D. B. Holt,et al.  The plasticity of pure single crystals , 1964 .

[19]  F. Nabarro,et al.  Dislocations in solids , 1979 .

[20]  E. Orowan Zur Kristallplastizität. I , 1934 .