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SCIENCE+ENGR.OF MTRLS.,SI ED.,ENHANCED
7th Edition
ISBN: 9780357447888
Author: ASKELAND
Publisher: CENGAGE L
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Chapter 4, Problem 4.42P
To determine
The resolved shear stress acting on the (111) slip plane in the
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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?
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i
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Chapter 4 Solutions
SCIENCE+ENGR.OF MTRLS.,SI ED.,ENHANCED
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....
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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?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_forwardA 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 1.75 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [110], [101] and [011] directions.arrow_forward
- A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the [100] direction. If the critical resolved shear stress for this material is 1.18 MPa, calculate the magnitude of applied stress necessary to cause slip to occur on the (111) plane in the [1-10] direction.arrow_forwardA 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_forward1. Consider a single crystal of BCC iron oriented such that a tensile stress is applied along a [010] direction. Compute the resolved shear stress along a (110) plane and in a direction when a tensile stress of 52 MPa (7500 psi) is applied. Slip plane (110) Normal to Slip direction [111] slip plane y Direction of applied stress [010] 2. Compute the tensile strength and ductility (%EL) of a cylindrical copper rod if it is cold worked such that the diameter is reduced from 15.2 mm to 12.2 mm (0.60 in. to 0.48 in.). 3. Please explain the differences between recovery and recrystallization processes.arrow_forward
- A stress of 75 MPa is applied in the [0 0 1] direction on an FCC single crystal. Calculate the resolved shear stress acting on the (1 1 1) [1 0 1] slip system.arrow_forwardA material with a volume centered cubic crystal structure and a single crystalline [100] A stress of 25 MPa is applied in the crystallographic direction. This slip in the sliding system in the unit cage (101) [11,-1] of the material under loading Calculate the stress component. Show on the figure.arrow_forwardA material with a volume centered cubic crystal structure and a single crystalline [100] A stress of 25 MPa is applied in the crystallographic direction. This slip in the sliding system in the unit cage (101) [11,-1] of the material under loading Calculate the stress component.arrow_forward
- Calculate the resolved shear stress on the (111)[0 -11] slip system of a unit cell in an FCC nickel single crystal if a stress of 13.7 MPa is applied in the [001] direction of a unit cellarrow_forwardIf 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 0.500arrow_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_forward
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