I was reading the Considere's criteria:for necking.(adsbygoogle = window.adsbygoogle || []).push({});

The link: http://www.steeluniversity.org/content/html/eng/1230-0120-pu.htm [Broken]

describes the math and the phenomenon involved (i.e mainly necking begins when

the increase load bearing capacity is balanced due to reduction in cross section

area).

The final equation in the above link gived: d_sigma_t / d_epsilon_t = sigma_t.

Can we state the above equation as follows;

1) Necking begins when the slope of the true stress vs true strain curve is

equal to the ultimate tensile stress?

OR AS WELL

2) At the ultimate tensile stress, the slope of the ultimate tensile stress to

the corresponding strain (i.e drawing a tangent at that point) is equal to the

ultimate tensile stress itself.

Are these both correct?

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# Considère's Criterion for Necking

Can you offer guidance or do you also need help?

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