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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 4.43P
To determine
The applied stress needed to cause the slip to begin in the
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Determine the critical resolved shear stress on a BCC single crystal if a normal stress of 10 MPa along [100] direction causes slip system on (110) plan along [1-11], one-bar one-one, direction.
1. There are three slip systems on a FCC octahedral plane, i.e. one of the {111} planes. Assume a2 MPa tensile stress is applied along the [100] direction of a gold single crystal, whose criticalresolved shear stress is 0.91 MPa at room temperature. Demonstrate quantitatively thatmeasurable slip will not occur on any of the three slip systems containing the (111) plane as aresult of this applied tensile stress. (Hint: Schmid’s law)
2. Identify the Burgers vector (using vector notation) of a screw dislocation that can cross-slipbetween (111) and (111) planes of an FCC crystal (Hint: Use Weiss zone law).
3. Why are dislocations not considered thermodynamic equilibrium defects like vacancies?Explain by describing the relative interplay between entropy and enthalpy affecting the Gibbsfree energy of the dislocations-containing material system.
Draw the corresponding Crystallographic Directions, and compute the resolved shear stress for both slip systems.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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 [2 2 1] direction. If slip occurs on a (2 1 1) plane and in a [-1 1 1] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 2.4 MPa.arrow_forwardPravinbhaiarrow_forwardA single crystal of a BCC metal is oriented so that the [001] direction is parallel to the applied stress. If the critical resolved shear stress required for slip is 12,000 psi, calculate the magnitude of the applied stress required to cause slip to begin in the [111] direction on the (110), (011), and (101) slip planes.arrow_forward
- Help me pleasearrow_forwardA monocrystal of a CCC metal is oriented so that the direction [001] is parallel to an applied voltage. Consider that the critical effective shear stress required for the slip is 83 MPa and calculate the magnitude of the applied stress necessary to start the slip in the direction [111] of the sliding planes (110), (011) and ( 101).arrow_forward4. Assume the critical resolved shear stress of a single crystal metal is 5.5 MPa on the slip system. Please (a) calculate the corresponding tensile stress applied along the direction that can cause such slip, and (b) what is the corresponding Schimd factor?arrow_forward
- Answer part (d).arrow_forwardConsider a single crystal of BCC iron oriented such that tensile stress is applied along a[010] direction. Compute the resolved shear stress along a (110) plane and in a [1⃑ 1 1]direction when a tensile stress of 50 MPa is applied. If Slip occurs on a (110) plane and ina [1⃑ 1 1] direction and the critical resolved shear stress is 25 MPa, calculate themagnitude of the applied tensile stress necessary to initiate yielding.arrow_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
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