I understand the true stress and true strain equations, but in this chapter, the
ID: 1849153 • Letter: I
Question
I understand the true stress and true strain equations, but in this chapter, they describe taking the log of true stress and plotting that vs the log of true strain, which shows a linear relationship.
Why would you take the logarithm and not the natural log since true stress= engineering stress x e^(true strain) and true strain= ln (1+L). I tried deriving the strain-hardening part by taking the log of true stress and equating the exponents, but you end up with y= yo + true strain x C (constant= log(e)). So i'm pretty confused.
Could anyone help with this part of the derivation and continue? I know it probably doesn't matter for the class, but i can't get past this subject without completely understanding the physical and corresponding mathematical interpretations.
Explanation / Answer
pal they are taking the natural log just to represent the data in a linear form while reading the graphs linear graph is much easier to predict the values from the plot hence they convert the variables in to logs and get linear plots. in this case when the relation has some e^ function hence they are considering the ln natural logfunction if the equation had consisted of any 10^ they would have considered taking the log