Consider a single crystal of some hypothetical metal thathas the FCC crystal structure and is oriented such that atensile stress is applied along a [11 2] direction. If slipoccurs on a ( 111) plane and in a [0 11] direction, andthe crystal yields at a stress of 5.12 MPa, compute thecritical resolved shear stress.CRITICAL RESOLVED SHEAR STRESS• CRITICAL RESOLVED SHEAR STRESS (T,THE MOST FAVORABLY ORIENTED SLIP SYSTEM WHEN SHEAR STRESS IS ATJ: SLIP IN A SYSTEM STARTS ONCRSSTHIS CRITICAL VALUE• MINIMUM SHEAR STRESS REQUIRED TO INITIATE SLIP• SINGLE CRYSTAL PLASTICALLY DEFORMS WHEN:T, > T,CRSSOR TR(max) =T CRSS'RTcrss(cos o cos A)max

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Answered: Consider a single crystal of some…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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.
Consider dislocations blocked with an average spacing of in a coppercrystal. If the flow stress is controlled by the stress necessary to operate aFrank--Read source, compute the dislocation density ρ in this crystal when itis deformed to a point where the resolved shear stress in the slip plane is 42MPa. Take G = 50 GPa.
Consider 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.
Explain why BCC (body-centered cubic) materials generally have higher mechanical strength values than FCC (face-centered cubic) materials in terms of (a) slip systems and (b) extended dislocations.
A single crystal of FCC metal is oriented so that the [001] direction is parallel to an applied stress of 5000 psi. Calculate the resolved shear stress on the (111) slip plane in the [1bar 10] and [01bar 1] slip directions.
A 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.
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?
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?
A tensile stress of 5 kPa is applied parallel to the [432] direction in a cubic crystal. Calculate the shear stress on the (111) plane in the [011] direction.
The theoretical failure strength is significantly higher than the empirical failure strength of polycrystalline materials, even when they are highly polished because: a) Polycrystalline materials have little or no capacity for plastic deformation, so they have lower failure stresses b) Plastic deformation in polycrystalline materials adsorbs energy which reduces their failure strength c)The energy needed to break the atomic bonds in crystal lattices is lower in polycrystalline materials as compared to in single crystals d)Polycrystalline materials contain internal discontinuities
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?
In an engineering application, the material is a strip of iron with a fixed crystallographic structure subject to a tensile load during operation. The part failed (yielded) during operation and needs to be replaced with a component with better properties. You are told that two other iron strips had failed at yield stresses of 110 and 120 MPa, with grain sizes of 30 microns and 25 microns respectively. The current strip has a grain size of 20 microns. The diameter of the rod is 1 mm and the load applied is 100 N. What is the yield stress of the new part C and would you recommend it for operation? Select one: a.120.5 MPa, no b.140.5, no c.129.5, yes d.123.5 MPa, yes e.133.5 MPa, yes

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