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Materials Science and Engineering: An Introduction

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Unformatted text preview: REVISED PAGES EQA 1.5 sup in Single Crystals - 183 Figure 7.9 Slip in a zinc single crystal. (From C. F. Elam, The Distortion of Metal Crystals Oxford University Press. London, 1935.) dislocations along the same slip plane. 0n the surface of a polished single crystal specimen, these steps appear as lines, which are called slip lines. A zinc single crys- tal that has been plastically deformed to the degree that these slip markings are discernible is shown in Figure 7.9. With continued extension of a single crystal, both the number of slip lines and the slip step width will increase. For FCC and BCC metals, slip may eventually be— gin along a second slip system, the system that is next most favorably oriented with the tensile axis. Furthermore, for BC]? crystals having few slip systems, if the stress axis for the most favorable slip system is either perpendicular to the slip direction (A = 90°) or parallel to the slip plane (4) = 90°). the critical resolved shear stress will be zero. For these extreme orientations the crystal ordinarily fractures rather than deforming plastically. Concept Check 7.2 Explain the difference between resolved shear stress and critical resolved shear stress. [The answer may be found at www.Wiley.com/coItegc/callister (Student Companion Site).] EXAMPLE PROBLEM 7.1 Resolved Shear Stress and Stress-to-Initiate-Yielding Computations Consider a single crystal of BCC iron oriented such that a tensile stress is applied along a [010] direction. (:1) Compute the resolved shear stress along a (110) plane and in a [T11] direction when a tensile stress of 52 MPa (7500 psi) is applied. ...
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