RT Journal Article
T1 Homogeneous nucleation of dislocations as bifurcationsin a periodized discrete elasticity model
A1 Plans, I.
A1 Carpio, Ana
A1 Bonilla, L.L.
AB A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensionalcrystals described by periodized-discrete-elasticity models is presented. When the crystal issheared beyond a critical strain F = Fc, the strained dislocation-free state becomes unstable via a subcritical pitchfork bifurcation. Selecting a fixed final applied strain Ff >Fc, different simultaneously stable stationary configurations containing two or four edge dislocations may be reached by setting F = Ff t/tr during different time intervals tr. At a characteristic time after tr, one or two dipoles are nucleated, split, and the resulting two edge dislocations move in opposite directions to the sample boundary. Numerical continuation shows how configurations with different numbers of edge dislocation pairs emerge as bifurcations from the dislocation-free state.
PB EPL Association, European Physical Society
SN 0295-5075
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/49858
UL https://hdl.handle.net/20.500.14352/49858
LA eng
NO [1] Asenjo A., Jaafar M., Carrasco E. and Rojo J. M.,Phys. Rev. B, 73 (2006) 075431.[2] Rodr´ıguez de la Fuente O., Zimmerman J. A.,Gonz´alez M. A., de la Figuera J., Hamilton J. C.,Pai W. W. and Rojo J. M., Phys. Rev. Lett., 88 (2002)036101.[3] Breen K. R., Uppal P. N. and Ahearn J. N., J. Vac.Sci. Technol. B, 8 (1990) 730.[4] Joyce B. A. and Vvedensky D. D., Mater. Sci. Eng.R, 46 (2004) 127.[5] Schall P., Cohen I., Weitz D. and Spaepen F.,Nature, 440 (2006) 319.[6] Gouldstone A., Van Vliet K. J. and Suresh S.,Nature, 411 (2001) 656.[7] Bulatov V. V. and Cai W., Computer Simulationsof Dislocations (Oxford University Press, Oxford, UK)2006.[8] Carpio A. and Bonilla L. L., Phys. Rev. B, 71 (2005)134105.[9] Bonilla L. L., Carpio A. and Plans I., Physica A, 376(2007) 361.[10] Carpio A. and Bonilla L. L., Phys. Rev. Lett., 90(2003) 135502.[11] Landau A. I., Phys. Status Solidi (b), 183 (1994) 407.[12] Plans I., Discrete Models of Dislocations in CrystalLattices: Formulation, Analysis and Applications, PhDThesis (Universidad Carlos III de Madrid) 2007.[13] Bonilla L. L., Escobedo R. and Dell’Acqua G.,Phys. Rev. B, 73 (2006) 115341.[14] Doedel E. J. et al., AUTO2000 (Caltech, Pasadena)2001, https://sourceforge.net/projects/auto2000/.[15] Lorenz D., Zeckzer A., Hilpert U., Grau P.,Johansen H. and Leipner H. S., Phys. Rev. B, 67 (2003)172101.[16] Ogata S., Li J. and Yip S., Science, 298 (2002) 807.[17] Hill R., J. Mech. Phys. Solids, 10 (1962) 1.[18] Zhu T., Li J., Van Vliet K. J., Ogata S., Yip S.and Suresh S., J. Mech. Phys. Solids, 52 (2004)691.[19] Li J., Van Vliet K. J., Zhu T., Yip S. and Suresh S.,Nature, 418 (2002) 307.
NO Spanish Ministry of Education
DS Docta Complutense
RD 2 may 2024