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I built a system of equations based on the stress balance equation and the deformation compatibility equation.

Note that $\sigma_x=10$, etc. in the figure above represents the stress boundary condition rather than the displacement condition.

I built a system of equations based on the stress balance equation and the deformation compatibility equation.

There is a similar post here, but I would like to know if there is a general method to solve this type of problem that does not require additional processing skills.

There is a similar post here, but I would like to know if there is a general method to solve this type of problem that does not require additional processing skills. Thank you.

I built a system of equations based on the stress balance equation and the deformation compatibility equation, but I couldn’t solve it.

How can I use MMA to solve this kind of plane stress problem?

I built a system of equations based on the stress balance equation and the deformation compatibility equation.

But the solution result is obviously wrong:

How can I use Mathematica to solve this kind of plane stress problem?