PSI - Issue 14

Ashish Mishra et al. / Procedia Structural Integrity 14 (2019) 544–548 A.Mishra, A. Alankar / Structural Integrity Procedia 00 (2018) 000–000

548

5

Table 2. Effectiveness of various reactions w.r.t collinear reaction. Interaction type

Effectiveness of reactions w.r.t collinear reaction

Cross Slip Hirth lock

0.16893 0.16278 0.24175 0.35245

Glissile junction Sessile junction

4. Conclusions In this work, the deformation of copper single crystal under tension using DD simulations has been studied. On the-fly counting of dislocation reactions occurring in a crystal has been implemented successfully. The evolution of dislocation density in the crystal can be seen only on active slip systems in accordance with the Schmid's law. When the copper single crystal is loaded along [1 1 1] crystallographic axis, the major increase in strength is due to collinear reaction followed by sessile, glissile, cross slip and Hirth reactions. However, the dominant contribution to total stress is given by sessile junction. References Bacon, D.J., 1967. A method for describing a flexible dislocation. physica status solidi (b) 23, 527-538. Foreman, A.J.E., 1967. The bowing of a dislocation segment. Philosophical magazine 15, 1011-1021. Kubin, L.P., Canova, G., 1992. The modelling of dislocation patterns. Scripta Metallurgica et Materialia 27, 957-962. Devincre, B., Pontikis, V., Brechet, Y., Canova, G., Condat, M., Kubin, L.P., 1992. Three-dimensional simulations of plastic flow in crystals. In Microscopic simulations of complex hydrodynamic phenomena, pp. 413-423. Canova, G., Kubin, L.P., 1991. Dislocation microstructure and plastic flow: a three dimensional simulation. Continuum models and discrete systems 2, 93-101. Amodeo, R.J., Ghoniem, N.M., 1990. Dislocation dynamics. I. a proposed methodology for deformation micromechanics. Physical Review B 41, 6958. Kubin, L.P., Canova, G., Condat, M., Devincre, B., Pontikis, V., Brechet, Y., 1992. Dislocation microstructures and plastic flow: a 3d simulation. In Solid State Phenomena 23, 455-472. Zbib, H.M., Rhee, M., Hirth, J.P., 1998. On plastic deformation and the dynamics of 3d dislocations. International Journal of Mechanical Sciences 40, 113-127. Schwarz, K.W., 1999. Simulation of dislocations on the mesoscopic scale. I. Methods and examples. Journal of Applied Physics 85, 108-119. Ghoniem, N.M., Sun, L.Z., 1999. Fast-sum method for the elastic field of three-dimensional dislocation ensembles. Physical Review B 60, 128 140. Cai, W., Bulatov, V.V., Pierce, T.G., Hiratani, M., Rhee, M., Bartelt, M., Tang, M., 2004a. Massively-parallel dislocation dynamics simulations. Solid Mechanics and its Applications 115, 1-11. Zhou, C., Bulent, B., LeSar, R., 2010. Discrete dislocation dynamics simulations of plasticity at small scales. Acta Materialia 58, 1565-1577. Saada, G., 1960. Sur le durcissement d la recombinaison des dislocations. Acta Metallurgica 8, 841-847. Saada, G., Veyssiere, P., 2002. Work hardening of face centered cubic crystals. Dislocations intersection and cross slip. In Dislocations in Solids 11, 413-458. Akasheh, F., Zbib, H.M., Hirth, J.P., Hoagland, R.G., Misra, A., 2007. Dislocation dynamics analysis of dislocation intersections in nanoscale metallic multilayered composites. Journal of Applied Physics 101, 084314. Alankar, A., Mastorakos, I.N., Field, D.P., Zbib, H.M., 2012. Determination of dislocation interaction strengths using discrete dislocation dynamics of curved dislocations. Journal of engineering materials and technology 134, 021018. Akarapu, S., Zbib, H.M., Bahr, D.F., 2010. Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression. International Journal of Plasticity 26, 239-257. Akasheh, F., Zbib, H.M., Ohashi, T., 2007. Multiscale modelling of size effect in fcc crystals: discrete dislocation dynamics and dislocation based gradient plasticity. Philosophical Magazine 87, 1307-1326. Groh, S., Marin, E.B., Horstemeyer, M.F., Zbib, H.M., 2009. Multiscale modeling of the plasticity in an aluminum single crystal. International Journal of Plasticity 25(8), 1456-1473. Cottrell, A.H., 1953. Dislocations and plastic flow in crystals. Oxford University Press, New York, pp. 223. Brown, L.M., 1964. The self-stress of dislocations and the shape of extended nodes. Philosophical Magazine 10, 441-466.