Skip to content

[FEM.HyperElastic] Extend OgdenMaterial to N-term Ogden model - #6450

Open
th-skam wants to merge 8 commits into
sofa-framework:masterfrom
th-skam:ogdenorder
Open

[FEM.HyperElastic] Extend OgdenMaterial to N-term Ogden model#6450
th-skam wants to merge 8 commits into
sofa-framework:masterfrom
th-skam:ogdenorder

Conversation

@th-skam

@th-skam th-skam commented Nov 10, 2026 •
edited
Loading

Copy link
Copy Markdown
Contributor

Ogden's model is straightforward to extend (in code). The strain energy density was

$$W = \frac{\mu}{\alpha^2}\left(J^{-\alpha/d}\,\mathrm{tr}\left(C^{\alpha/2}\right) - d\right) + \frac{\kappa}{2}\left(\ln J\right)^2$$

and becomes

$$W = \sum_{p=1}^{N} \frac{\mu_p}{\alpha_p^2}\left(J^{-\alpha_p/d}\,\mathrm{tr}\left(C^{\alpha_p/2}\right) - d\right) + \frac{\kappa}{2}\left(\ln J\right)^2$$

So $\alpha$ and $\mu$ become vectors indexed by $p$.

The test for Ogden is now done with 3 parameters.
Removed some compilation warnings from the test file as well.

[with-all-tests]

@th-skam th-skam added pr: enhancement About a possible enhancement pr: status to review To notify reviewers to review this pull-request labels Nov 10, 2026
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Reviewers

No reviews

Assignees

No one assigned

Labels

pr: enhancement About a possible enhancement pr: status to review To notify reviewers to review this pull-request

Projects

None yet

Milestone

No milestone

Development

Successfully merging this pull request may close these issues.

1 participant

@th-skam