

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...
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
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?
(a) Consider a cylinder of FCC single crystal under tensile stress. The crystal is oriented such that its [120] direction is parallel to the loading axis and the measurement is performed at room temperature. Determine the primary slip system for this configuration and give the magnitude of the resultant Schmid factor (cosφ∙cosλ). (b) If slip occurs at an applied tensile stress of 10 MPa, what is the material’s critical resolved shear stress? (c) Assume you now replace the sample with...
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...
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)...
(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. 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)
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...
Problem 3: Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1° and 47.9°, respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa (3000 psi), will an applied stress of 45 MPa (6500 psi) cause the single crystal to yield? If not, what stress will be necessary?
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.