Assume that a single BCC crystal is subjected to 55 MPa in the [001] direction. There are two pos...
Assume that a single BCC crystal is subjected to 55 MPa in the [001] direction. There are two possible slip systems, (101)[-111] and (110)[-111], that can be activated. which slip system is most likely to exhibit slip and why?
Homework Answers
(110)[-111] slip system is most likely to exhibit slip along applied direction because Slip in body-centered cubic (bcc) crystals occurs along the plane of shortest Burgers vector which happens to be in (110) plane.
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Assume that a single BCC crystal is subjected to 55 MPa in the [001] direction. There are two pos...
how do you fill out the table? Step 2: BCC Single Crystal For a BCC single...
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]...
2. Consider a single crystal of some hypothetical metal that has the BCC crystal structure and...
2. Consider a single crystal of some hypothetical metal that has the BCC crystal structure and is oriented such that a tensile stress is applied along a [121] direction. If slip occurs on a (101) plane and in a [111] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 2.4MPa.
Problem 1: Calculate the resolved shear stress acting on the (101) [111] system for a single...
Problem 1: Calculate the resolved shear stress acting on the (101) [111] system for a single crystal of BCC molybdenum subject to the following: • Applied stress: 55 MPa • Direction of applied stress: [001] (a) Sketch the direction of applied stress in the cubic cell diagram on the right: (b) Use the cubic cell diagram on the diagram on the right to sketch: • The slip plane • The slip direction (c) Determine the indices for the direction normal...
(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)...
pls answer question (ii) a) A single crystal of an FCC metal is oriented so that...
pls answer question (ii)
a) A single crystal of an FCC metal is oriented so that the [001] direction is parallel to an applied stress of 10 MPa. Calculate the resolve shear stress acting on the (111) slip plane in the [110], [011] and [101] slip directions. The stress and strain behaviour for the metal is shown in figure 4. 400 350 300 250 Stress (MPa) 200 150 100 50 0 0.00 0.02 0.04 0.06 0.08 Strain Figure 4 (i)...
Step 2: For a copper single crystal under uniaxial tension test along its [111] direction, the...
Step 2: For a copper single crystal under uniaxial tension test along its [111] direction, the yield point is 150 MPa. 고 (1) Which slip system(s) are activated? (2) Calculate the critically resolved shear stress of copper TCRSS; (3) Calculate the yield points if the copper single crystal is tested along [211] or [100] direction.
Consider a single crystal of BCC iron oriented such that a tensile stress is applied along...
Consider a single crystal of BCC iron oriented such that a tensile stress is applied along a [o10) direction Compute the resolved shear stress along a (110) plane and in a (111] direction when a MPa is applied. (10 points) 9. tensile stress 52
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...
A single crystal of Al has the FCC crystal structure and is oriented such that a...
A single crystal of Al has the FCC crystal structure and is oriented such that a tensile stress is applied parallel to the [010] direction. If the critical resolved shear stress for this material is 0.2 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [1̅10] [1̅01] [011̅] Also, which of these slip systems is “preferred” for slip?
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
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]...
2. Consider a single crystal of some hypothetical metal that has the BCC crystal structure and is oriented such that a tensile stress is applied along a [121] direction. If slip occurs on a (101) plane and in a [111] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 2.4MPa.
Problem 1: Calculate the resolved shear stress acting on the (101) [111] system for a single crystal of BCC molybdenum subject to the following: • Applied stress: 55 MPa • Direction of applied stress: [001] (a) Sketch the direction of applied stress in the cubic cell diagram on the right: (b) Use the cubic cell diagram on the diagram on the right to sketch: • The slip plane • The slip direction (c) Determine the indices for the direction normal...
(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)...
pls answer question (ii)
a) A single crystal of an FCC metal is oriented so that the [001] direction is parallel to an applied stress of 10 MPa. Calculate the resolve shear stress acting on the (111) slip plane in the [110], [011] and [101] slip directions. The stress and strain behaviour for the metal is shown in figure 4. 400 350 300 250 Stress (MPa) 200 150 100 50 0 0.00 0.02 0.04 0.06 0.08 Strain Figure 4 (i)...
Step 2: For a copper single crystal under uniaxial tension test along its [111] direction, the yield point is 150 MPa. 고 (1) Which slip system(s) are activated? (2) Calculate the critically resolved shear stress of copper TCRSS; (3) Calculate the yield points if the copper single crystal is tested along [211] or [100] direction.
Consider a single crystal of BCC iron oriented such that a tensile stress is applied along a [o10) direction Compute the resolved shear stress along a (110) plane and in a (111] direction when a MPa is applied. (10 points) 9. tensile stress 52
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...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
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