Stress Concentration: Hole in infinite thin plate loaded in biaxial tension vs biaxial compression

[hootrpootr]

Hello,

Is there a difference in the stress concentration of a hole in an infinite thin plate loaded in biaxial tension vs biaxial compression?

I ask because in numerous books (one of them in the screenshot below), there is a calculation that determines the Kt in biaxial tension. I've also created a FEM model that correlates nicely. I created another FEM model where I just reversed the loading to put the plate in compression, and received the exact same Kt. I can't seem to find anything in the book or online about the biaxial compression case. Is this true?

*The screenshot comes from Table 6-1 of FORMULAS FOR STRESS, STRAIN, AND STRUCTURAL MATRICES 2nd Edition by Pilkey

 

[r13]

I don't know the deviation of the equations, but noticed that Kt is a constant of the stress ratio. So no mater it is pure tension, or pure compression, the signs of the stresses cancel each other, thus Kt remains the same for both cases.