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Callister - An introduction - 8th edition

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216 • Chapter 7 / Dislocations and Strengthening Mechanisms<br />

140<br />

800<br />

700<br />

1040 Steel<br />

120<br />

100<br />

900<br />

800<br />

1040 Steel<br />

120<br />

Yield strength (MPa)<br />

600<br />

500<br />

400<br />

Brass<br />

80<br />

60<br />

Yield strength (ksi)<br />

Tensile strength (MPa)<br />

700<br />

600<br />

500<br />

Brass<br />

100<br />

80<br />

Tensile strength (ksi)<br />

300<br />

Copper<br />

40<br />

400<br />

60<br />

Copper<br />

200<br />

300<br />

20<br />

40<br />

100<br />

0 10 20 30 40 50 60 70<br />

200<br />

0 10 20 30 40 50 60 70<br />

Percent cold work<br />

Percent cold work<br />

(a)<br />

(b)<br />

70<br />

60<br />

50<br />

Ductility (%EL)<br />

40<br />

30<br />

Brass<br />

20<br />

10<br />

1040 Steel<br />

Copper<br />

0<br />

0 10 20 30 40 50 60 70<br />

Percent cold work<br />

(c)<br />

Figure 7.19 For 1040 steel, brass, and copper, (a) the increase<br />

in yield strength, (b) the increase in tensile strength, and<br />

(c) the decrease in ductility (%EL) with percent cold work.<br />

[Adapted from Metals Handbook: Properties and Selection:<br />

Irons and Steels, Vol. 1, 9th <strong>edition</strong>, B. Bardes (Editor),<br />

American Society for Metals, 1978, p. 226; and Metals<br />

Handbook: Properties and Selection: Nonferrous Alloys and<br />

Pure Metals, Vol. 2, 9th <strong>edition</strong>, H. Baker (Managing Editor),<br />

American Society for Metals, 1979, pp. 276 and 327.]<br />

point D. The stress is released, then reapplied with a resultant new yield strength,<br />

s yi<br />

. The metal has thus become stronger during the process because s yi<br />

is greater<br />

than s y0<br />

.<br />

The strain-hardening phenomenon is explained on the basis of dislocation–<br />

dislocation strain field interactions similar to those discussed in Section 7.3. The<br />

dislocation density in a metal increases with deformation or cold work, because of

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