Deformation Geometry for Materials Scientists by C. N. Reid

By C. N. Reid

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5 dt d loge er = -νκ(—Λ ■ \ ) Multiplying; both sides by γ T"Ä(-+1) (2 27) · This expression gives a measure of the rate of approach to a steadystate and this increases with the value of K/m, Consequently, designers try to make tensile machines hard; that is, they ensure that the machine has a large value of the spring constant, K. The harder the machine, the more rapidly its load-extension curve settles down after transients, such as yield points or changes of testing speed, v. Some commercial machines are not particularly hard, and when testing materials with small values of m, the load transients are extensive.

Metals and alloys, too, may have similar m values in certain regimes of temperature and strain-rate, and these materials are notable for unusually large extensions of the order of 1000 per cent. This phenomenon has come to be known as superplasticity, and Fig. 11 shows a Zn-Al alloy that has deformed in this way. 48 DEFORMATION GEOMETRY FOR MATERIALS SCIENTISTS We can rewrite eqn. 7 as diogeni _ m+y— 1 dlogey4 ~" m Integrating this gives us loge À = { ~ ^ Λ loge A + ÌOge C where log«, C is the constant of integration.


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