Hi,

> Is there a similar tutorial for solving linear static analysis using 
CutFEM, especially with illustration of how to setup boundary conditions.

There is no tutorial for this. You would set the boundary conditions weakly 
at the immersed boundaries. Here are two papers on linear elasticity with 
cutfem

dx.doi.org/10.1007/978-3-319-71431-8_2

dx.doi.org/10.1007/s10444-020-09785-z

This does not cover all possible boundary conditions one can have in linear 
elasticity, but it is a starting point.

> Also, is it possible adopt CutFEM for topology optimization? How would 
one go about it?

Yes. There have been several papers written on this. Here are two:

dx.doi.org/10.1016/j.cma.2019.03.016

dx.doi.org/10.1002/nme.5621

I'm sure one could find more with some searching.

Compared to for example SIMP (as in step 79), the benefit is that the 
discretization of the PDE is more accurate. The price is that the 
implementation is much more complicated.

Best,
Simon

On Sunday, July 14, 2024 at 4:00:04 AM UTC+2 [email protected] wrote:

> Hi,
>
> Step-85 shows example of CutFEM for Poisson's equation. Is there a similar 
> tutorial for solving linear static analysis using CutFEM, especially with 
> illustration of how to setup boundary conditions. 
>
> Also, is it possible adopt CutFEM for topology optimization? How would one 
> go about it?
>
> Appreciate any comments on this.
>
> Regards
> SK
>

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