Question

how do you fill out the table?

Step 2: BCC Single Crystal For a BCC single crystal, thOnsile direction is along [123]. (1) Calculate the Schmid factors for all slip systems in Table 1 below. (2) Which slip system will be activated first, as the tensile load gradually increases? Tip: you may want to use a computer program such as Excel to facilitate the calculation. cos Schmid factor Slip first? Slip Systems cos (011)[111] (011)[111] 0.9449 (011)[111] (011)[111] (101)[111] (101)[111] (101)[111] (101)[111] (110)[111] (110)[111] (110)[111) (110)[111] Table 1. Slip systems for BCC

Answer 1

solution for the problem is given below,

Foe BCC,

table is as follows,

Foe FCC,

B E F G H I J plane C D E direction 011111 tensile axis -1 | ܝܙ| ܝܙ ܝܙ ܝܙ ܘ ДА 1 slip system 2 (011)(1-11] 3 (011)(11-1] 4 (01-1)[111] 5 (01-1)(1-1-1] 6 (101)[11-1] 7 (101)[-111] 8 (10-1)[111] 9 (10-1)(-11-1] 10 (110)(-111] 11 (110)(1-11) 12 (1-10)[111] 13 (1-10)[-1-11] ܘ K N cos phi(angle be coslambda(angle betwee schimid factor maximum schimid factor most active slip system 310.944911183 0.3086067 0.291605922 3 0.944911183 3 -0.188982237 0.9258201 -0.174963553 3 -0.188982237 -0.6172134 0.116642369 3 0.755928946 0 3 0.755928946 0.6172134 0.466569475 3 -0.377964473 0.9258201 -0.349927106 3 -0.377964473 -0.3086067 0.116642369 3 0.56694671 0.6172134 0.349927106 3 0.56694671 0.3086067 0.174963553 3 -0.188982237 0.9258201 -0.174963553 3 -0.188982237 0.466569475 (101)[-111] NNNNNNNNNNNN! ܝܙ ܝܙ ܝܙ ܝܙ ܝܙ ܝܙ ܝܙ ܘ ܘ ܘ ܘ ܘ ܘ ܝܙ ܝܙ ܝܙ ܝܙ BCC cell K2 FORMULA=> cell L2 FORMULA=> cell M2 formula=> =((B2*H2)+(C2*12)+(D2*J2) (SQRT(B2^2+C2^2+D2^2)*SQRT(H2^2+12^2+J2^2)) =((E2*H2)+(F2*12)+(G2*J2))/(SQRT(E2^2+F2^2+G242)*SQRT(H2^2+12^2+J242) =K2*L2

table as follows,

for FCC I didn't entered slip systems in column 1.

4 А 1 slip system в с о N plane direction tensile axis cos phi(angle becoslambda(angle betwee schimid factor maximum schimid factor 1 0.333333333 0.816496581 0.272165527 1 0.333333333 0.816496581 0.272165527 OOOPPA 1 -0.333333333 1 0.333333333 1 0.333333333 0.816496581 0.816496581 0.272165527 0.272165527 1 1 1 -0.333333333 0.333333333 0.333333333 0.816496581 0.816496581 0.272165527 0.272165527 1 -0.333333333 0 0.272165527 cell K2 formula=> cell L2 formula=> cell M2 formula=> =(B2*H2)+(C2*12)+(D2*J2))/(SQRT(B2^2+C2^2+D242)*SQRT(H2^2+12^2+J242) =((E2*H2)+(F2*12)+(G2*J2) (SQRT(E2^2+F2A2+G242)*SQRT(H2^2+12^2+J242)) =K2*L2 FCC

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