Question

Q5 2 Points If load is applied on the unit cell with the largest unit cell edge length, the material slips along (1 -1 OJ. Find all the slip systems in this unit cell that contains this direction. Draw separate unit cells to show the direction and the corresponding planes that make the slip system. Enter your answer here Please select file(s) Select file(s) Q6 2 Points If one manufactures a wire of 6 cm diameter out of this single crystal, find the maximum load (in N) below which the material will not slip if the load is applied along [1 0 0]. Use one of the slip systems from the previous question that results in all positive angles for the resolved shear stress calculation. The critical resolved shear stress (CRSS) of the material is 19.24 MPa.

Answer 1

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Q To prove that_ship direction be in the slip plane hut kv + lw=0 where (h k l) = required phane (uvM] direction of slip here it is given that (1-10] is the slip direction CO ch (1) +k(-1) + 1 (0) h-kizo h=k there are many possibilities with hak (110), (220) CT TO),(2 70) and so 2 Ship suplem is the combination of slip plane and slip direction . The slip systems would be (110) [iro], (i To) [iro] (220) [iro] (ăž o) [ito] and so on Lets consider 1st slip system: (110] [1 to] & sketch it. z 6 y (110) ve 2 crio) trio? (Date. Page 102 Given that d=dia of wire 6cm = 6x10 ² m olla of crossection - A ad² = ** (6x102) 4 tu = 2.82 6x10 m² Alo critically resolved shear stress = 19.24MPa TERSS loodung direction is given as [100] from the previous calcellation, let us use die slip system [110) (1 To] [100] tre? Tito het p and are the angles beliwer leading direction (100) and slip plane (110) & slip direction Siło] of a single crystal. To cause slip the condition is TCRISS IT caso cost where Force applied (N) Alea section f boss In order to cause No slip TORSS Tocos o cast 3) Ecess CF А caso cost cos Ø 1 (1) + 160) +00) ²p 1² tot 140²00² I - 1 Jo var Cost = (1) +01-1) +060) Vie ²002 / 12( 10² 1 +OPO T VAT Ja rire - / substatuting the obtained values in previous equation gives; Ecosocost 19.24x66 Icess F (27.826x103)2 ro Est E > 108744.48 N max Frax > 108.744 KN Scanned with CamScanner