Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

[GeoMechanicsApplication] Extract a static utility function for the calculation of the Stiffness Matrix (K) #12371

Closed
markelov208 opened this issue May 13, 2024 · 0 comments · Fixed by #12381, #12382, #12385 or #12388
Assignees

Comments

@markelov208
Copy link
Contributor

As a developer, I would like to have a utility function which can calculate the stiffness matrix, such that this can be re-used.

Acceptance Criteria

  • The calculation of the stiffness matrix is available as a utility function, which takes the B-matrix, constitutive matrix and the integration coefficient
  • This calculation is defined once and re-used at all locations where this calculation is done in the geomechanics application.
  • The utility function is documented and unit-tested.

Background
This issue handles the K in the equation describing our UPw system of equations:

$$ \begin{bmatrix} M & 0 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} \ddot{u} \\ \ddot{p} \end{bmatrix} + \begin{bmatrix} D & 0 \\ Q^T & C \end{bmatrix} \begin{bmatrix} \dot{u} \\ \dot{p} \end{bmatrix} + \begin{bmatrix} K & -Q \\ 0 & H \end{bmatrix} \begin{bmatrix} u \\ p \end{bmatrix} = \begin{bmatrix} f_u \\ f_p \end{bmatrix} $$

The mathematical definition is:
$$K = \int_\Omega B^T C_{constitutive} B d\Omega$$

Where $\Omega$ is the domain, $B$ is the B-matrix and $C_{constitutive}$ is the constitutive matrix.

@markelov208 markelov208 converted this from a draft issue May 13, 2024
@markelov208 markelov208 self-assigned this May 13, 2024
@github-project-automation github-project-automation bot moved this from 👷 In Progress to ✅ Done in Kratos Product Backlog May 16, 2024
@markelov208 markelov208 moved this from ✅ Done to 👷 In Progress in Kratos Product Backlog May 16, 2024
@rfaasse rfaasse reopened this May 16, 2024
@github-project-automation github-project-automation bot moved this from 👷 In Progress to 📋 Sprint Backlog in Kratos Product Backlog May 16, 2024
@rfaasse rfaasse moved this from 📋 Sprint Backlog to 👷 In Progress in Kratos Product Backlog May 16, 2024
@github-project-automation github-project-automation bot moved this from 👷 In Progress to ✅ Done in Kratos Product Backlog May 17, 2024
@markelov208 markelov208 moved this from ✅ Done to 👷 In Progress in Kratos Product Backlog May 17, 2024
@markelov208 markelov208 reopened this May 17, 2024
@github-project-automation github-project-automation bot moved this from 👷 In Progress to 📋 Sprint Backlog in Kratos Product Backlog May 17, 2024
@markelov208 markelov208 moved this from 📋 Sprint Backlog to 👷 In Progress in Kratos Product Backlog May 17, 2024
@github-project-automation github-project-automation bot moved this from 👷 In Progress to ✅ Done in Kratos Product Backlog May 17, 2024
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment