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This question involves concept of Critically resolved shear stress and Schmidt factor
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For part (C), I have explained the process. Since it involved very heavy calculations. So, I left it with the process that can be used to calculate it.
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Step 2: For a copper single crystal under uniaxial tension test along its [111] direction, the...
For a copper single crystal under uniaxial tension test along its [111] direction, the yield point...
For a copper single crystal under uniaxial tension test along its [111] direction, the yield point is 150 MPa. Calculate the yield points if the copper single crystal is tested along [211] or [100] direction.
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]...
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 zinc single crystal is being pulled in tension, with the normal to its basal plane...
A zinc single crystal is being pulled in tension, with the normal to its basal plane (0001) at 60° to the tensile axis and with the slip direction [1120] at 40° to the tensile axis. What is the resolved shear stress, acting in the slip direction when a tensile stress of 0.5 MPa is applied? Answer:
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?
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...
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...
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. Consider a metal single crystal oriented such that the normal to the slip plane and...
1. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.10 and 47.9° respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa will an applied stress of 45 MPa cause the single crystal to yield? If not, what stress will be necessary? (10 points)
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]...
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 zinc single crystal is being pulled in tension, with the normal to its basal plane (0001) at 60° to the tensile axis and with the slip direction [1120] at 40° to the tensile axis. What is the resolved shear stress, acting in the slip direction when a tensile stress of 0.5 MPa is applied? Answer:
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...
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...
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. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.10 and 47.9° respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa will an applied stress of 45 MPa cause the single crystal to yield? If not, what stress will be necessary? (10 points)
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