In a cubic crystal, a dislocation line of mixed character lies along the [112] direction. (i.e....
In a cubic crystal, a dislocation line of mixed character lies along the [112] direction. (i.e. ?⃗ = [112]). Burgers vector, ?⃗⃗ = 1/2 [110]. (a) What are the edge and screw components of the Burgers vector? (b) What is the slip plane?
Homework Answers
![diren: b = 1 [110] }=112] b=1[110] S-] § = [112]; 10) 1&l=THITH = 6 . B ç - +(112) LC11Z] > TĚ1 = F xf2 K VICIT] citro) g Con](http://img.homeworklib.com/questions/3641fa70-c4a3-11ea-9ca7-995c26d74d47.png?x-oss-process=image/resize,w_560)
![i a) . Edge Component lbul - B. & of Burgess vector: 1(C110].[112])coso (10) to 1 Bol = = 1:31 - Toulog B = 4(1123) Screw com](http://img.homeworklib.com/questions/3787b660-c4a3-11ea-9599-e91d7875b89c.png?x-oss-process=image/resize,w_560)
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In a cubic crystal, a dislocation line of mixed character lies
along the [112] direction. (i.e....
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many...
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many slip systems are there? Question 5: The Burgers vector b indicates the direction and magnitude of dislocation slip in crystal structures. Said simply, the Burgers vector closes the loop when traversing an equal number of steps around a dislocation. Using a figure like shown here, graphically draw the Burgers vector around a dislocation defect in a simple cubic crystal. Question 6: Permanent...
4. (Character of dislocations) Three circular glide dislocation loops lying on a close packed pla...
4. (Character of dislocations) Three circular glide dislocation loops lying on a close packed plane in an FCC crystal are shown in the figure below. The Burgers vectors of the loops, which are of the type a/2 110>, are indicated by the double ended arrows (the precise Burgers vector depends on the choice of tangent vector). The magnitudes of the Burgers vectors of the loops are assumed to be the same. If the loops expand by glide, they can combine...
A single crystal in the form of a cube has two possible slip planes. (1) and...
A single crystal in the form of a cube has two possible slip planes. (1) and (2). as shown in the sketch below. Each of these planes has two possible slip directions, (a) and (b), as is also shown. The angle between the tensile load axis and slip plane normal for both slip planes is 450 40 <plane (1)> <plane (2)> a) If a stress is applied to this crystal in the direction noted, specify which particular (eg. plane (1),...
[7Pts] B2. (a) Aluminum is a FCC metal. Identify families slip planes and directions in Al...
[7Pts] B2. (a) Aluminum is a FCC metal. Identify families slip planes and directions in Al (write their Miller indices). On what basis did you select the planes and direction? Explain. (b) Consider the figure given below. Draw the Burger's circuit to identify and mark the Burgers vector b. What is the angle between the Burgers vector band the dislocation line? Based on b, classify this dislocation as edge or screw type. Dislocation Motion IT
Materials/Edge Dislocation Problem: 3. Problem 3: (40 points An edge dislocation given by burgers vector, 01]...
Materials/Edge Dislocation Problem:
3. Problem 3: (40 points An edge dislocation given by burgers vector, 01] on the (111) plane in an fcc crystal dissociates into two partial dislocations a) Provide the dislocation reaction for the above. Vectorially depict the three dislocations on a (111) plane b) Prove that the reaction is thermodynamically feasible c) The two partial dislocations can each be split into horizontal and vertical components. Each of the components are either, pure screw or edge dislocations. These...
Consider a dislocation in an FCC crystal with the following characteristics: tCR0.5 MPa, 5-(a / /6...
Consider a dislocation in an FCC crystal with the following characteristics: tCR0.5 MPa, 5-(a / /6 )[ 1 1 2] and b= (a/2)[ 1 1 0] a) Determine the slip plane for this dislocation. b) Calculate the magnitude of the applied normal stress in the [010] direction necessary to cause motion of this dislocation. Repeat part (b) for a normal stress applied in the [001] direction. c)
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a te...
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a tensile stress is applied along the [110] crystal direction of the grain, if slip occurs on a (101) plane and a [111] direction, determine the amount of tensile stress that is required to produce a critical resolved shear stress of 31.1MPa in the grain? [15 points] (2) Draw the unit cell structure, and on your sketch indicate: (i) the tensile direction, (ii)...
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile di...
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile direction, normal to the plane direction and slip directions (110,(101] and lo11) B) (10p) Compute the resolved shear stress in (MPa) on plane (111) along the three slip direction given in (B), when tensile stress of 80 MPa is applied. C) (10p) If the critical resolved shear stress...
5. A cubic close-packed (FCC) metal is deformed under tension. The tensile axis lies along [2 -3 1] A. What is the...
5. A cubic close-packed (FCC) metal is deformed under tension. The tensile axis lies along [2 -3 1] A. What is the primary slip system? [0-1 --1), [01 1 (1- 1), [-1 0] (1 1 -1), [1 101 (1 -1 1) B. Determine cross slip and co-planar slip systems for that system. C. IF the critical resolved shear stress of that slip system was equal to 2 MPa, calculate the applied stress required to start plastic deformation in the material...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates 1,1/4.0: 1.1.1/2: 34.1,1/4 (5 Marks) b) Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are intersected by this plane. (5 Marks) c) Draw and state the indices for the major slip planes and slip directions that occur in the unit cells of iron, copper, and zinc. (10 Marks)
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many slip systems are there? Question 5: The Burgers vector b indicates the direction and magnitude of dislocation slip in crystal structures. Said simply, the Burgers vector closes the loop when traversing an equal number of steps around a dislocation. Using a figure like shown here, graphically draw the Burgers vector around a dislocation defect in a simple cubic crystal. Question 6: Permanent...
4. (Character of dislocations) Three circular glide dislocation loops lying on a close packed plane in an FCC crystal are shown in the figure below. The Burgers vectors of the loops, which are of the type a/2 110>, are indicated by the double ended arrows (the precise Burgers vector depends on the choice of tangent vector). The magnitudes of the Burgers vectors of the loops are assumed to be the same. If the loops expand by glide, they can combine...
A single crystal in the form of a cube has two possible slip planes. (1) and (2). as shown in the sketch below. Each of these planes has two possible slip directions, (a) and (b), as is also shown. The angle between the tensile load axis and slip plane normal for both slip planes is 450 40 <plane (1)> <plane (2)> a) If a stress is applied to this crystal in the direction noted, specify which particular (eg. plane (1),...
[7Pts] B2. (a) Aluminum is a FCC metal. Identify families slip planes and directions in Al (write their Miller indices). On what basis did you select the planes and direction? Explain. (b) Consider the figure given below. Draw the Burger's circuit to identify and mark the Burgers vector b. What is the angle between the Burgers vector band the dislocation line? Based on b, classify this dislocation as edge or screw type. Dislocation Motion IT
Materials/Edge Dislocation Problem:
3. Problem 3: (40 points An edge dislocation given by burgers vector, 01] on the (111) plane in an fcc crystal dissociates into two partial dislocations a) Provide the dislocation reaction for the above. Vectorially depict the three dislocations on a (111) plane b) Prove that the reaction is thermodynamically feasible c) The two partial dislocations can each be split into horizontal and vertical components. Each of the components are either, pure screw or edge dislocations. These...
Consider a dislocation in an FCC crystal with the following characteristics: tCR0.5 MPa, 5-(a / /6 )[ 1 1 2] and b= (a/2)[ 1 1 0] a) Determine the slip plane for this dislocation. b) Calculate the magnitude of the applied normal stress in the [010] direction necessary to cause motion of this dislocation. Repeat part (b) for a normal stress applied in the [001] direction. c)
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a tensile stress is applied along the [110] crystal direction of the grain, if slip occurs on a (101) plane and a [111] direction, determine the amount of tensile stress that is required to produce a critical resolved shear stress of 31.1MPa in the grain? [15 points] (2) Draw the unit cell structure, and on your sketch indicate: (i) the tensile direction, (ii)...
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile direction, normal to the plane direction and slip directions (110,(101] and lo11) B) (10p) Compute the resolved shear stress in (MPa) on plane (111) along the three slip direction given in (B), when tensile stress of 80 MPa is applied. C) (10p) If the critical resolved shear stress...
5. A cubic close-packed (FCC) metal is deformed under tension. The tensile axis lies along [2 -3 1] A. What is the primary slip system? [0-1 --1), [01 1 (1- 1), [-1 0] (1 1 -1), [1 101 (1 -1 1) B. Determine cross slip and co-planar slip systems for that system. C. IF the critical resolved shear stress of that slip system was equal to 2 MPa, calculate the applied stress required to start plastic deformation in the material...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates 1,1/4.0: 1.1.1/2: 34.1,1/4 (5 Marks) b) Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are intersected by this plane. (5 Marks) c) Draw and state the indices for the major slip planes and slip directions that occur in the unit cells of iron, copper, and zinc. (10 Marks)
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