I have written a simple plane stress code in the VUMAT format but unfortunately the third strain (StrainInc(k,3)) is zero and I need to calculate it by myself. the problem is that, by the Von-mises constitutive equations, how can I calculate the thickness strain in the increment?

If you have done it before, just give me a reference where ı can find a suitable formula for that.

Please help me.

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