For cubic unit cells, an angle θ betweendirection 1 [u1 v1 w1] and 2 [u2 v2 w2] is equal to
Consider a single crystal of BCC iron oriented such that a tensile stress is applied along...
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...
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.
(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)
3. A crystalline grain of iron in a metal plate is oriented so that the tensile load is oriented along the [1 1 0] crystal direction. If the applied stress is 50 MPa, what will be the resolved shear stress along the [117] within the (101) plane?
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?
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?
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],...
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]...
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)?