Given: Angle between applied stress and normal to slip plane, =600
Angle between applied stress and slip direction, =350
Critical resolved shear stress, =6.2 MPa
Applied stress, =12 MPa
The resolved shear stress using the expression
where is the Resolved shear stress
is the Applied stress
is the Angle between applied stress and normal to slip plane
is the Angle between applied stress and slip direction
The single crystal will not yield as the resolved shear stress (4.91 MPa) is less than the critical resolved shear stress (6.2 MPa)
The magnitude of applied stress at which yielding occurs is obtained using the expression
where is the Magnitude of applied stress at which yielding occurs or the yield strength
is the Critical resolved shear stress
Thus the yielding will occur at an applied stress of y=15.14 MPa
pts) ectively, with the tensile stress of 12 MPa (1750 psi) cause the single cry och...
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...
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?
3. A tensile stress of 25MPa is applied to a single crystal of metal. The angle (between applied stress and the normal to the slip plane) is 28°. The angle (between the applied stress and the slip direction) is 39º. What is the resolved shear stress (t)?
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)
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:
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...
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?
material Designing please solve it as soon as you can. 3. 19 points) Consider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a (-102] direction. If slip occurs on a (111) Splate and in a [-101) direction a) Compute the resolved shear stress along a (111) plane and in a [-101) direction when a tensile stress of 40 MPa is applied. (6 points) [102],...
Question 7 10 pts Which of the following will reverse the effects of cold working? O reducing the grain size adding impurities through solid state diffusion annealing the material at an elevated temperature rolling to induce anisotropy Question 8 10 pts 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,...