5- A single crystal of an FCC metal is oriented so that the [001] direction is parallel to anapplied stress of 35 MPa. Calculate the resolved shear stress acting on the (111) slipplane in the [110], [011], and [101] directions. Which slip system(s) will activate?

Given data: A Single crystal of FCC Metal α=35 MPa To Find: The resolved shear stress acting on…

Answered: 5- A single crystal of an FCC metal is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Q.5 Calculate resolved shear stress on the (111) [01i] slip system of a unit cell in an FCC nickel single crystal if a stress of 13.0 GPa is applied in the [001] direction of a unit cell. Draw the diagram for mentioned slip system.
6- Determine the minimum radius of an atom that will just fit into (a) The tetrahedral interstitial FCC nickel, lattice parameter: 0.35167 nm (b) The octahedral interstitial site in BCC lithium, lattice parameter: 0.35089 nm
Chapter 7 DISLOCATIONS AND STRENGTHENING MECHANISMS 1. 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 22 MPa, will an applied stress of 50 MPa cause the single crystal to yield? If not, what stress will be necessary? 2. A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the [110] direction. If the critical resolved shear stress for this material is 2.2 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of thel 10]¸[101]and[011]directions. Hint: For each of these three slip systems, the ø will be the same-i.e., the angle between the direction of the applied stress, [110] and the normal to the (111) plane, that is, the [111] direction. The angle ømay be determined using Equation 9.6 as…
For an FCC (111) plane, a. b. C. Compute Linear density for [1 1 1] and [1 0 1] On which of these directions is slip most likely to occur, why? List the complete family of directions on which slip is most likely to occur.
Q1/A Prove that the volume of an FCC unit cell, Vc is; Vc = 16R³√2 B) Explain in general terms, why many polymers and some ceramic glasses have an amorphous or semicrystalline structure.
Iron exhibits an allotropic behavior change of solid state structure in such a way that when it is heated to 910 C it undergoes a structure change from body-centered cubic BCC to face-centered cubic FCC considering that the atomic radius of iron increases to 0.1241 nm or 0.126 nm more when said temperature is reached obtainThe volume change experienced by the structure when the temperature of 910 C is reached
Televio olpn Example moleda Sblaiy Ieteyo elpnie erli lliW (B Q.: A stress of 75 MPa is applied in the [001] direction on an fcc single crvstel Calculate: T. (a) the resolved shear stress acting on the (111) [-101] slip system and, (b) the resolved shear stress acting on the (111) [-110] slip system.
Derive all possible slip systems in a face centered cubic unit cell. (Remember slip systems consist of close packed planes in close packed directions) (a) List all the possible permutation of slip systems. (b) How many slip systems do you have if you discounted redundant planes? List all of them. (Explain how you determined that the planes were redundant) (c) How many slip systems do you have if you also discounted negatives of slip directions? List all of them. (d) Out of the remaining slip systems, how many of them are valid? List all the valid slip systems and explain your answer either mathematically or graphically. (e) Draw all the independent slip systems that you get from the problem before.
Sketch following modes of dislocation motion and name conditions that help them occur: 1. Cross slip 2. Climb up & climb down
Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597
2. Sketch: a. 3 stages of single crystal stress-strain curve under uniaxial stress b. Frank-Reed mechanism for dislocation multiplication.

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5- A single crystal of an FCC metal is oriented so that the [001] direction is parallel to an applied stress of 35 MPa. Calculate the resolved shear stress acting on the (111) slip plane in the [110], [011], and [101] directions. Which slip system(s) will activate?