Assume k = 5 in the modelτ crit = c exp(−kd hkl / b) .(a) Determine the ratio ofτ crit for the {222}/<110> slip systems to that for the {110}/<111> slipsystems in a BCC metal.(b) Do the same for an FCC metal comparing the {220}/<111> and {111]/<110> slip systems;i.e., compute the ratioτ crit 220{ }/ 111 :τ crit 111{ }/ 110 .(c) Here the aim is to see the impact of confusing the preferred slip systems in BCC with thosein FCC metals. In principle, one would want to examine the ratiosτ crit 111{ }/ 110 :τ crit 110{ }/ 111andτ crit 110{ }/ 111 :τ crit 111{ }/ 110 for BCC and FCC metals, respectively; however, it is necessaryto consider {222} type planes for the BCC structure and {220} type planes for the FCCstructure. Why?
Assume k = 5 in the model
τ crit = c exp(−kd hkl / b) .
(a) Determine the ratio of
τ crit for the {222}/<110> slip systems to that for the {110}/<111> slip
systems in a BCC metal.
(b) Do the same for an FCC metal comparing the {220}/<111> and {111]/<110> slip systems;
i.e., compute the ratio
τ crit 220{ }/ 111 :
τ crit 111{ }/ 110 .
(c) Here the aim is to see the impact of confusing the preferred slip systems in BCC with those
in FCC metals. In principle, one would want to examine the ratios
τ crit 111{ }/ 110 :
τ crit 110{ }/ 111
and
τ crit 110{ }/ 111 :
τ crit 111{ }/ 110 for BCC and FCC metals, respectively; however, it is necessary
to consider {222} type planes for the BCC structure and {220} type planes for the FCC
structure. Why?
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