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MindTap Engineering for Askeland/Wright's The Science and Engineering of Materials, 7th Edition, [Instant Access], 2 terms (12 months)
7th Edition
ISBN: 9781305111219
Author: Donald R. Askeland; Wendelin J. Wright
Publisher: Cengage Learning US
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Chapter 4, Problem 4.29P
To determine
The inter planar spacing, the length of the Burgers vector for slip and the ratio between the shear stresses required for slip for the two systems.
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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.
If a rod of single-crystal copper (FCC) is pulled in tension in the [210] direction (i.e. force direction) at a tensile stress of 50 MPa, slip will occur in the [0 1 1] direction on the (1 1 -1) plane. Use this information to answer the following questions.
Which of the following is the value of cos(lambda) for the angle lambda between the force direction and the slip direction?
Group of answer choices
0.707
0.316
0.632
0.500
Chapter 4 Solutions
MindTap Engineering for Askeland/Wright's The Science and Engineering of Materials, 7th Edition, [Instant Access], 2 terms (12 months)
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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- A 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_forwardConsider a single crystal of silver oriented such that a tensile stress is applied along a [001] direction. If slip occurs on a (111) plane and in a 101 direction, and is initiated at an applied tensile stress of 1.1 MPa (160 psi), compute the critical resolved shear stress. i MPаarrow_forwardConsider 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 [11 2] direction. If slip occurs on a ( 111) plane and in a [0 11] direction, and the crystal yields at a stress of 5.12 MPa, compute the critical resolved shear stress. CRITICAL RESOLVED SHEAR STRESS • CRITICAL RESOLVED SHEAR STRESS (T, THE MOST FAVORABLY ORIENTED SLIP SYSTEM WHEN SHEAR STRESS IS AT J: SLIP IN A SYSTEM STARTS ON CRSS THIS CRITICAL VALUE • MINIMUM SHEAR STRESS REQUIRED TO INITIATE SLIP • SINGLE CRYSTAL PLASTICALLY DEFORMS WHEN: T, > T, CRSS OR TR(max) =T CRSS 'R Tcrss (cos o cos A)maxarrow_forward
- In class I mentioned that an FCC metal should be strongest in uniaxial tension when pulledalong a <111> type direction. Assuming only the preferred {111}/<110> slip systems can beactivated, use the Schmid factor ( cosφ cosλ ) to compare strength in tension along the [100],[211], and [111] directions in an FCC metal. For your final answer, complete the statement,"An FCC metal will be ___% and ___% stronger under tension in the [111] direction comparedto the [100] and [211] directions, respectively.arrow_forwardA single crystal Al,O, rod (precisely 6 mm diameter7 60 mm long) is used to apply loads to smalsamples in a high-precision dilatometer (a longin.measuring device). Calculate the resulting imdimensions if the crystal is subjected to a 33-kN arigcompression load.arrow_forwardPravinbhaiarrow_forward
- Solve this and show all of your workarrow_forwardHelp me pleasearrow_forwardA 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.)arrow_forward
- 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.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_forwardI am having trouble finding the miller indices for this problem, help would be appreciated. I attempted to find them but was unsure how to find where some of the axes intercepted.arrow_forward
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