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Engineering · Mechanical Engineering
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Question 2 (16 marks) In FCC copper (Cu) metal, dislocations move along the (111) glide planes. For FCC Cu, the lattice parameter (length of the cube) a is 3.615 Å and the shear modulus G is 48 GPa. 2(a) (6 marks) Sketch the cell of a FCC crystal in isometric view (pseudo 3D). In a different sketch, represent a (111) plane (a slice of the FCC cell), including the atoms. Identify a Burgers vector and calculate its amplitude for Cu (be careful with units!). 2(b) (10 marks) The energy per unit length of a dislocation is İGb2, where b is the Burgers vector. Dislocations dilat a close packed structure slightly, because at their cores the atoms are not close packed: the dilatation b2 per unit length of dislocation. It is found that the density of a bar of copper changes from 8.93 Mg.m-3 to 8.9321 Mg.m3 when it is heavily deformed. Calculate (i) the dislocation density introduc into the copper by the deformation and (ii) the corresponding energy density (in J.m3). (Hint: if you are unsure of the value of b calculated in part (a), it is a good idea to perform symbo calculations and replace numerical values at the end only 1
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