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Shell element transverse shear stresses in ABAQUS VUMAT

Hi Everyone,

I've couple of quick questions:

1) I am planning to use ABAQUS 2D shell formulation (S4R) to estimate
3D state of stress. I've read several articles to estimate the
transverse shear stresses once the in-plane stresses are known by
integrating the 3D equilibrium equations. This is, of course, easily
done, if we have closed form solutions for in-plane stresses:

sigma_xz,z = - (sigma_xx,x + sigma_xy,y)
sigma_yz,z = - (sigma_xy,x + sigma_yy,y)

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