tandoorichicken
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My statics text says the following:
The relationship between axial stress and strain can be represented by the equation
\sigma = E\epsilon
"At higher levels of stress, the following nonlinear equation may be a better fit to describe the correlation between axial stress and strain:
\sigma = E e^{\epsilon-1}
"
Where \sigma is force per unit area, \epsilon is axial strain and E is Young's modulus.
Out of curiosity, at what level of stress does the second equation begin to better represent the situation than the first?
The relationship between axial stress and strain can be represented by the equation
\sigma = E\epsilon
"At higher levels of stress, the following nonlinear equation may be a better fit to describe the correlation between axial stress and strain:
\sigma = E e^{\epsilon-1}
"
Where \sigma is force per unit area, \epsilon is axial strain and E is Young's modulus.
Out of curiosity, at what level of stress does the second equation begin to better represent the situation than the first?