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Callister - An introduction - 8th edition

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706 • Chapter 17 / Corrosion and Degradation of Materials<br />

Weight gain per unit area, W<br />

Linear<br />

Parabolic<br />

Logarithmic<br />

Figure 17.25 Oxidation film<br />

growth curves for linear,<br />

parabolic, and logarithmic rate<br />

laws.<br />

Time, t<br />

Parabolic rate<br />

expression for metal<br />

oxidation—<br />

dependence of<br />

weight gain (per unit<br />

area) on time<br />

Linear rate<br />

expression for metal<br />

oxidation<br />

Logarithmic rate<br />

expression for metal<br />

oxidation<br />

between the weight gain per unit area W and the time t as follows:<br />

W 2 K 1 t K 2<br />

(17.34)<br />

where K 1 and K 2 are time-independent constants at a given temperature.This weight<br />

gain–time behavior is plotted schematically in Figure 17.25. The oxidation of iron,<br />

copper, and cobalt follows this rate expression.<br />

In the oxidation of metals for which the scale is porous or flakes off (i.e., for<br />

P–B ratios less than about 1 or greater than about 2), the oxidation rate expression<br />

is linear; that is,<br />

W K 3 t<br />

(17.35)<br />

where K 3 is a constant. Under these circumstances oxygen is always available for<br />

reaction with an unprotected metal surface because the oxide does not act as a reaction<br />

barrier. Sodium, potassium, and tantalum oxidize according to this rate expression<br />

and, incidentally, have P–B ratios significantly different from unity (Table<br />

17.3). Linear growth rate kinetics is also represented in Figure 17.25.<br />

Still a third reaction rate law has been observed for very thin oxide layers (generally<br />

less than 100 nm) that form at relatively low temperatures. The dependence<br />

of weight gain on time is logarithmic and takes the form<br />

W K 4 log1K 5 t K 6 2<br />

(17.36)<br />

Again, the Ks are constants. This oxidation behavior, also shown in Figure 17.25,<br />

has been observed for aluminum, iron, and copper at near-ambient temperatures.<br />

Corrosion of Ceramic Materials<br />

Ceramic materials, being compounds between metallic and nonmetallic elements,<br />

may be thought of as having already been corroded. Thus, they are exceedingly immune<br />

to corrosion by almost all environments, especially at room temperature.<br />

Corrosion of ceramic materials generally involves simple chemical dissolution, in<br />

contrast to the electrochemical processes found in metals, as described previously.

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