Yield Functions, Damage States, and Intrinsic Strength

A recently derived isotropic yield/failure criterion is here shown to give a measure of the state of the damage relative to an intrinsic (ideal) yield strength. The formulation of the intrinsic strength itself is obtained through a spectral analysis. A criterion for the ductile-brittle transition is found in the process of deriving the effect of pressure on the new yield function formalism.