Chapter 7 DISLOCATIONS AND STRENGTHENING MECHANISMS 1. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1° and 47.9° , respectively, with the tensile axis. If the critical resolved shear stress is 22 MPa, will an applied stress of 50 MPa cause the single crystal to yield? If not, what stress will be necessary? 2. A 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 2.2 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the 101¸[101]and[011]directions. Hint: For each of these three slip systems, the ø will be the same-i.e., the angle between the direction of the applied stress, [110] and the normal to the (111) plane, that is, the [111] direction. The angle ømay be determined using Equation 9.6 as u,u, + v,v, + ww, O = cos (ui + v} + w} )(u} + v + w}) ]

Chapter 7 DISLOCATIONS AND STRENGTHENING MECHANISMS 1. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1° and 47.9° , respectively, with the tensile axis. If the critical resolved shear stress is 22 MPa, will an applied stress of 50 MPa cause the single crystal to yield? If not, what stress will be necessary? 2. A 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 2.2 MPa, calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the 101¸[101]and[011]directions. Hint: For each of these three slip systems, the ø will be the same-i.e., the angle between the direction of the applied stress, [110] and the normal to the (111) plane, that is, the [111] direction. The angle ømay be determined using Equation 9.6 as u,u, + v,v, + ww, O = cos (ui + v} + w} )(u} + v + w}) ]

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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