b)You observe that an edge dislocation with a Burgers vector b1]in the slip plane dissociates into two Shockley-Partial dislocations: b=g2列und:=gk1可 Indicate in the unit cell of task a)the burgers vectors of the partial dislocations in such a way that the splitting of the dislocation into partials is seen clearly.Which indices has the slip plane? c)Compute the Line element s of the edge dislocation in the standard form (normalized vector). In case you did not obtain the right result in the previous task use the following vector for further calculations: Line normal n of the glideplane,in which the edge dislocation lies:n= 12 d)Explain why (energetics)as given in part b)a perfect dislocation dissociates into Shockley partials. e) Compute with the help of the Peach-Koehler equation the force between two parallel edge dislocations.Show the dislocation arrangement in an orthogonal coordinate system with proper notations.Indicate all required parameters in your sketch.Please name also the line element and the burgers vector for the edge dislocation. Stress tensor for the edge dislocation in z-direction:= 0 000 A6:Softening (Chapter 7)13 points a)Give the definition and explain the terms "recrystallization"and "recovery". b)State the conditions,which are necessary for the creation of a viable recrystallization nucleus in a deformed microstructure and explain them briefly. c)Sketch schematically the relative hardness variation as a function of the recrystallized volume fraction for a material which TENDS to recover and for a material which DOES NOT recover.Explain shortly the differences in the behavior of both materials.In this regard,explain the influence of the stacking fault energy.Give one example for each case.b) You observe that an edge dislocation with a Burgers vector [ ] 110 2 a b = in the slip plane dissociates into two Shockley-Partial dislocations: [ ] 121 6 a b1 = und [ ] 211 6 a b2 = . Indicate in the unit cell of task a) the burgers vectors of the partial dislocations in such a way that the splitting of the dislocation into partials is seen clearly. Which indices has the slip plane? c) Compute the Line element s of the edge dislocation in the standard form (normalized vector). In case you did not obtain the right result in the previous task use the following vector for further calculations: Line normal n of the glideplane, in which the edge dislocation lies: 2 1 a n 1 12 1 ⎛ ⎞ − ⎜ ⎟ = ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ − d) Explain why (energetics) as given in part b) a perfect dislocation dissociates into Shockley partials. e) Compute with the help of the Peach-Koehler equation the force between two parallel edge dislocations. Show the dislocation arrangement in an orthogonal coordinate system with proper notations. Indicate all required parameters in your sketch. Please name also the line element and the burgers vector for the edge dislocation. Stress tensor for the edge dislocation in z-direction: σ σ σ σ σ σ xyz xx xy xy yy zz = ⎛ ⎝ ⎜ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ ⎟ 0 0 0 0 A6: Softening (Chapter 7) 13 points a) Give the definition and explain the terms "recrystallization" and "recovery". b) State the conditions, which are necessary for the creation of a viable recrystallization nucleus in a deformed microstructure and explain them briefly. c) Sketch schematically the relative hardness variation as a function of the recrystallized volume fraction for a material which TENDS to recover and for a material which DOES NOT recover. Explain shortly the differences in the behavior of both materials. In this regard, explain the influence of the stacking fault energy. Give one example for each case