Failure Theory for Materials Science and Engineering – Richard M. Christensen

It's been surprising to me how poorly understood this field is. Even something as popular a the von Mises criterion seems to have got its popularity because Tresca was a more "pure" result of the supposed failure mechanisms but it needed rounded corners to fit dirty real world materials and von Mises has rounded corners, so it'll be good enough.

I suppose it doesn't matter to most engineers because nobody's going to design with a safety factor of 1.1 or even know the loads anywhere close to that accuracy. Also nobody needs to exploit the greater compressive strength vs tensile of most materials so no need for those asymmetric models.