The Investigation of Plastic Behavior by Discrete by Yinan Cui

By Yinan Cui

This thesis transports you to a superb and engaging small-scale global and tells you the beginning of numerous new phenomena. The investigative software is the enhanced discrete dislocation-based multi-scale techniques, bridging the continuum modeling and atomistic simulation. Mechanism-based theoretical versions are recommend to with ease expect the mechanical responses and disorder evolution. The findings offered during this thesis yield necessary new instructions for microdevice layout, reliability research and disorder tuning.

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Extra info for The Investigation of Plastic Behavior by Discrete Dislocation Dynamics for Single Crystal Pillar at Submicron Scale

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Their slip planes are intersecting; (5) Lomer lock: The sum of the burgers vectors of two dislocations is not parallel to either slip plane. Their slip planes are intersecting. In addition, when dislocations glide out of the crystal, the surface annihilation should also be considered as shown in Fig. 4. 3 Dislocation Cross Slip Cross slip has attracted much attention in face-centered cubic crystal (FCC) with medium to high stacking fault energy [21–25]. In a complex dislocation network, cross-slip events can be frequently induced by local heterogeneous stress state [22].

This is very similar to the results derived by the non-singular continuum theory of dislocations proposed by Cai et al. [48]. 0 -96 -80 -64 -48 -32 -16 0 16 32 48 64 80 96 y (nm) 0 y (nm) -96 smearing-out region -64 -32 0 32 64 96 y (nm) Fig. 12 a–b Stress component r32 due to the prismatic loop by different regularization methods when element size L is 16 and 32 nm, respectively. The results for the method proposed by Vattré et al. are from Ref. 5 nm, respectively. c–d Relative errors of r32 when element sizes are 16 and 32 nm, respectively.

24), the following relation can be obtained, e b_ ðtÞ ¼ F_ Á FeÀ1 Á bðtÞ e n_ ðtÞ ¼ ÀnðtÞ Á F_ Á FeÀ1 ð2:26Þ where a superposed dot means time derivative. Then, combining Eq. 25) and Eq. 2 Improved Discrete-Continuous Model 45 e bðt þ DtÞ ¼ ðI þ F_ Á FeÀ1 DtÞ Á bðtÞ e nðt þ DtÞ ¼ nðtÞ Á ðI À F_ Á FeÀ1 DtÞ ð2:27Þ e p p F_ Á FeÀ1 ¼ F_ Á FÀ1 À F Á FpÀ1 Á F_ Á FÀ1 ; F_ ¼ Lp Á Fp ; p ¼ Fp þ F_ Dt ¼ ðI þ Lp DtÞ Á Fp Fp ðt þ DtÞ ðtÞ ðtÞ ðtÞ where Dt is time increment, I is unit tensor. The result of F_ Á FeÀ1 is transferred from FEM model to DDD model, as shown in Fig.

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