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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Fig. 5. Evolution of edge GNDs.

Fig. 6. Evolution of screw GNDs.

Fig. 7. Edge and screw GNDs described on a slip system.

5. Conclusions The scope of the present work is to develop a crystal plasticity model considering the evolution of GNDs. For verification of current implementation, we have used a planar double slip model for FCC crystals derived by Asaro (1979). It is evident from the simulations that in the absence of screw dislocations, the total GNDs will be only edge GNDs. The distribution of SSDs, GNDs and their components are in good agreement with the work of Dai (1997). References Acharya, A., Bassani, J.L., 2000. Lattice incompatibility and a gradient theory of crystal plasticity. Journal of the Mechanics and Physics of Solids 48(8), 1565-1595. Aifantis, E.C., 1984. On the microstructural origin of certain inelastic models. Trans. ASME Journal of Engineering Materials and Technology 106, 326-330. Asaro, R.J., 1979. Geometrical effects in the inhomogeneous deformation of ductile single crystals. Acta Metallurgica 27, 445-453. Asaro, R.J., 1983. Micromechanics of crystals and polycrystals. Advanced Applied Mechanics V. 23. Ashby, M.F., 1969. The deformation of plastically non-homogeneous materials, Philosophical Magazine 21, 399-424. Dai, H., 1997. Geometrically-necessary dislocation density in continuum plasticity theory, FEM implementation and applications. Ph.D. thesis. Massachusetts Institute of Technology.