How to calculate 3D Principal stresses?

  • Thread starter ella_lei9
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How to calculate 3D Principal stresses???

If I got the values of 6 stress tensors:
222.png


Then I can calculate the values for the 3 stress invariants I1, I2 and I3:
111.png


I also know the relationship between the stress invariants and principal stresses:
58798acd7ecee4275adddee10e6eef36.png


So how can I calculate the values for the 3 principal stresses?

I can find some simple stress calculator on-line to get the results straight away, but I need the algorithm step for the calculation. In the other word, I need the individual equations for S1, S2 and S3, then I can do the calculation myself without using any software calculator or speardsheet!

Thanks a lot!
 

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