The discussion centers on the relationship between differential yield stress (σd) and the von Mises yield criterion. It is established that the axial yield stress is equal to the differential yield stress when σ3 = 0, and that k can be derived as k = σd / √3. For the Tresca criterion, k equals σd / 2. The use of differential stress is emphasized as it provides a more relatable metric for those unfamiliar with the complexities of stress analysis.
PREREQUISITESMechanical engineers, materials scientists, and students studying stress analysis and yield criteria in materials. This discussion is particularly beneficial for those looking to deepen their understanding of yield stress concepts and their applications in engineering.
Chestermiller said:
The reason differential stress is used is that people out-of-the-know can relate to it easily.1350-F said:Reading this confirmed my suspicions that the axial yield would equal the differential yield and from there you would divide by √3 to get k. For tresca k would equal σd/2. In that case why report it as a differential stress? I think that's what was throwing me off. Assuming we would know to add the axial yield to any hydrostatic stress to get our maximum principal stress why give σd?