The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 4, Problem 4.26P
To determine
The Miller indices of the
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A single-crystal rod of FCC nickel is oriented with the [001] direction parallel to the rod axis. a. Identify the type of slip system involved in the plastic flow of nickel. b. How many such slip systems are in a position to be activated at the same time when the load is applied parallel to this crystallographic direction? c. What is the Schmid factor for this slip system? (The angles between the {100} and {110} and {100} and {111} planes are 45 and 54.7°, respectively.)
A single crystal of silver is oriented so that the (111) slip plane is perpendicular to an applied stress of 50 MPa. List the slip systems composed of close-packed planes and directions that may be activated due to this applied stress.
Chapter 4 Solutions
The Science and Engineering of Materials (MindTap Course List)
Ch. 4 - Gold has 5.82108vacancies/cm3 at equilibrium at...Ch. 4 - Prob. 4.2PCh. 4 - Calculate the number of vacancies per cm3 expected...Ch. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Au and Ag form a substitutional solid solution....
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Write down the defect chemistry equation for...Ch. 4 - Prob. 4.20PCh. 4 - What is the Burger’s vector orientation...Ch. 4 - What is slip system and what role does it play in...Ch. 4 - Draw a Burgers circuit around the dislocation...Ch. 4 - What are the Miller indices of the slip...Ch. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Calculate the length of the Burgers vector in the...Ch. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - The crystal shown in Figure 4-19 contains two...Ch. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Why is it that single crystal and polycryst alline...Ch. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Determine the ASTM grain size number for the...Ch. 4 - Certain ceramics with special dielectric...Ch. 4 - Prob. 4.61PCh. 4 - Calculate the angle of a smalla ngle grain...Ch. 4 - For BCC iron, calculate the average distance...Ch. 4 - Every time we alloy a metal, it gets stronger. Is...Ch. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Prob. 4.75DPCh. 4 - You would like a metal plate with good...Ch. 4 - Prob. 4.77DPCh. 4 - Temperature dependence of vacancy conc enlralwns....Ch. 4 - Prob. 4.79CPCh. 4 - Prob. 4.80CPCh. 4 - Describe the problems associated with metal...Ch. 4 - Prob. 4.2KP
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- what are the specific Miller indices of the possible slip directions on these specific planes: a. on the (1 1 1bar) plane in FCC Fe b. on the (011) plane in BCC Fearrow_forwardCu single crystal is anisotropic in nature. If it has the Compliance matrix elements such as shown below, what is the various E’s, G’s and Poisson’s ratios of this anisotropic single crystal Cu?arrow_forwardquestion j620 Find the Miller indices of each crystallographic planearrow_forward
- Magnesium oxide is cubic (having the same structure as NaCl). The slip planes and directions are [110] and <110>, respectively. Along which directions, if any, can a tensile (or compressive) stress be applied without producing slip?arrow_forwarda) Sketch and label tensile stress-strain curves for a typical BCC and FCC metal and explain the salient differences from a slip system perspective Explain the Fick’s two laws of diffusion and discuss their common uses. What atomic factors govern the extent of solid solubility?arrow_forward2 . Write the slip systems of the metals with crystal structures of BCC, FCC and HCP. Calculate the total number of slip systems for each case. Which among the BCC, FCC and HCP is the most ductile and why?arrow_forward
- A single crystal of an FCC metal is oriented so that the [001] direction is parallel to an applied stress of 34.47MPa. Calculate the resolved shear stress acting on the (111) slip plane in the [-110], and [10-1] slip directions. Which slip system(s) will become active first?arrow_forwardA single crystal of an FCC metal is oriented so that the [001] direction is parallel to an applied stress of 5000 psi. Calculate the resolved shear stress acting on the (111) slip plane in the [-110], and [10-1] slip directions. Which slip system(s) will become active first?arrow_forwardExperimental Techniques for Identification of Microstructure and Defects?arrow_forward
- A single crystal of an FCC metal isoriented so that the [001] direction is parallel to an applied stress of 5000 psi. Calculate the resolved shear stress acting on the (111) slip plane in the [110] and [101] slip directions. Which slip system(s) will become active first?arrow_forwardHow do the principal metallic crystal structures, including body-centered cubic (BCC), face-centered cubic (FCC), and hexagonal close-packed (HCP), play a pivotal role in shaping the mechanical properties of materials, and how does the practice of crystal structure analysis provide valuable insights into the behavior and performance of these materials within the realm of mechanical engineering?arrow_forwardDerive 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.arrow_forward
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