# Download e-book for kindle: A Tribute to F.R.N. Nabarro by John P. Hirth

By John P. Hirth

ISBN-10: 0080564984

ISBN-13: 9780080564982

ISBN-10: 0444531661

ISBN-13: 9780444531667

New types for dislocation constitution and movement are provided for nanocrystals, nucleation at grain barriers, surprised crystals, interphase interfaces, quasicrystals, advanced buildings with non-planar dislocation cores, and colloidal crystals. A evaluate of experimentally proven major positive factors of the magnetoplastic impression with their actual interpretation explains many different result of this kind. The version has many strength functions for forming approaches inspired via magnetic fields.

• Dislocation version for the magnetoplastic effect

• New mechanism for dislocation nucleation and movement in nanocrystals

• New types for the dislocation constitution of interfaces among crystals with differing crystallographic structure

• A unified view of dislocations in quasicrystals, with a brand new version for dislocation motion

• A normal version of dislocation habit in crystals with non-planar dislocation cores

• Dislocation houses at excessive velocities

• Dislocations in colloidal crystals

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9 (1–8) (1997) 651–660. P. , Scripta Mater. 41 (6) (1999) 631–636. R. Phillpot, D. Wolf, H. Gleiter, J. Appl. Phys. 78 (2) (1995) 847–861. M. Derlet, S. Van Petegem, H. Van Swygenhoven, Phys. Rev. B 71 (2) (2005). H. Van Swygenhoven, Nat. Mater. 5 (11) (2006) 841. A. Froseth, H. M. Derlet, Acta Mater. 52 (8) (2004) 2259–2268. M. , Phys. Rev. B 68 (22) (2003). D. C. Andersen, J. Phys. Chem. 91 (19) (1987) 4950–4963. M. , Phys. Rev. Lett. 87 (2001) 205501. H. Van Swygenhoven, D. Farkas, A. Caro, Phys.

8 where one particular Al grain underwent all three types of slip [97]. 24 H. M. Derlet Ch. 2. Case study one: dislocations in a defect free grain An important result of atomistic simulations for a variety of FCC metals and microstructural nc geometries has been that the plasticity is mainly due to propagating dislocations that have nucleated at grain boundaries [25,92]. As discussed in the previous section, the nature of the slip observed in MD is in part due to the GSFE curve of the empirical potential employed and therefore the classification according to full or partial dislocations should be taken with care.

In the nc regime however, one may exploit the spherical symmetry of an non-textured nc structure and perform a spherical average of the scattering intensity of a given configuration. That is, I (k) = 1 2π 2 d fi exp(i k · ri ) k i = |f |2 N + i,j,i=j sin krij , krij where k = 2π sin θ/λ and rij = |ri − rk |. In the above equation, all atoms are assumed the same type giving fi = f . The final summation over atomic pairs can be recast into a one dimensional integral weighted by the atomic configuration’s global pair-distribution function, giving finally rc sin kr sin krc rc cos krc − + 4πρ 2 kr k k3 0 rc sin kr rc cos krc dr l(r) , ≈1+ + 4πρ kr k2 0 I (k) = 1 + dr l(r) where l(r) is the inter-atomic pair correlation function, rc the continuum cut-off distance which is typically slightly larger than the grain size, and ρ the bulk number density.

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