PSI - Issue 14

B V S S Bharadwaja et al. / Procedia Structural Integrity 14 (2019) 612–618 B V S S Bharadwaja, A.Alankar/ Structural Integrity Procedia 00 (2018) 000–000

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4. Results and discussions The contours of SSDs and GNDs in case of plane strain pure bending for double slip case are shown in Figs. 2-6. The contour of accumulated slip is also shown. It is clear from Fig. 2 that the slip is accumulated more on the top and bottom fibers of the beam. As shown in Fig. 3 the SSDs also follow similar trend and are accumulated more on the extreme fibers when compared to the neutral axis. But GNDs (see Fig. 4) evolve differently and are generated more on the extreme top fiber and slowly decreasing towards the bottom fiber. The evolution of edge GNDs and screw GNDs are shown in Fig. 5 and Fig. 6 respectively. A slip system (see Dai (1997)) indicating the dislocation generation along with n α , m α and p α is shown in Fig. 7. Based on the work of Dai (1997), it is evident that in plane strain deformation, 0 s     (screw GND’s) and e, 0 n     (edge GNDs along normal to the plane). This shows that the GNDs in planar model are pure edge dislocations. We observe similar trend in our simulations (see Fig. 5).

Fig. 2. Evolution of accumulated slip on slip systems.

Fig. 3. Evolution of SSDs.

Fig. 4. Evolution of total GNDs.