Instability in Tensile Deformation - Answers

Engineering strain at necking?
True strain at necking?

Set values for K and n and note engineering strain at which engineering stress is maximum.
Calculate true strain = e = ln (e + 1 )
For example,

K (psi) neneckeneck
44,000 .2 .2 .18
44,000 .3 .35 .30
44,000 .4 .55 .44
44,000 .5 .65 .5
66,000 .2 .23 .21
66,000 .3 .37 .31
66,000 .4 .5 .36
66,000 .5 .67 .51
88,000 .2 .25 .22
88,000 .3 .37 .26
88,000 .4 .5 .41
88,000 .5 .7 .5


Relation between K and necking strain?

It looks as though eneck and eneck are the same for all values of K.

Relation between n and necking strain?

True strain at necking is equal to the strain hardening exponent.


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