Get strain-stress relationship in spherical coordinates with Poisson ratio?

Questions
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1

Hello everyone,

I am wondering if there is a way to get the relationship between strain and stress in spherical coordinates with Poisson’s ratio.
I read the documentation here:

but there is only the relationship between strain and stress in spherical coordinates with Lamè’s coefficients.

Thank you very much for your time.

2

Why not use "replace the Lamé coefficients with Young’s modulus and Poisson’s ratio " In[65] \lambda -> - \frac{\nu E_c}{(1+\nu)(2\nu -1)}, \mu -> \frac {E_c}{2(1+\nu)}?