Von Mises Stress: Yielding & SF Criterion Equation

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The von Mises criterion equation without the safety factor (SF) is applicable only after yielding has occurred, meaning SF=1. In contrast, the equation that includes the safety factor is relevant for all scenarios, regardless of whether the material has yielded. This distinction is crucial for understanding material behavior under stress. The discussion emphasizes the importance of applying the correct equation based on the material's yield status. Clarifying these conditions helps ensure accurate assessments in engineering applications.
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Hi, just wanted to ask for the von Mises criterion equation, is the equation without the SF (the one I circled in blue) only applicable when yielding has FIRST occurred? (i.e when SF=1)? and is the equation including the SF (one I circled in orange) applicable to all cases? (i.e whether the material has yielded or not)
thank you
 
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