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Aktualisieren von _saint_venant_kirchhoff_orthotropic.py
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adtzlr authored Nov 18, 2024
1 parent 7f08905 commit e741f0d
Showing 1 changed file with 6 additions and 6 deletions.
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Expand Up @@ -32,7 +32,7 @@ def saint_venant_kirchhoff_orthotropic(C, mu, lmbda, r1, r2, r3):
mu : list of float
List of the three shear moduli.
lmbda : list of float
The six orthotropic moduli.
The six (upper triangle) orthotropic moduli.
r1 : list of float
First normal vector of planes of symmetry.
r2 : list of float
Expand All @@ -47,11 +47,11 @@ def saint_venant_kirchhoff_orthotropic(C, mu, lmbda, r1, r2, r3):
.. math::
:label: psi-svk-ortho
\psi = \sum_{i=1}^3
\mu\_i \boldsymbol{E} : \boldsymbol{r}_i \otimes \boldsymbol{r}_i +
\sum_{i=1)^3 \sum_{j=1)^3 \frac{\lambda_{ij}}{2}
\left(\boldsymbol{E} : \boldsymbol{r}_i \otimes \boldsymbol{r}_i \right)
\left(\boldsymbol{E} : \boldsymbol{r}_j \otimes \boldsymbol{r}_j \right)
\psi = \sum_{a=1}^3
\mu_a \boldsymbol{E} : \boldsymbol{r}_a \otimes \boldsymbol{r}_a +
\sum_{a=1}^3 \sum_{b=1}^3 \frac{\lambda_{ab}}{2}
\left(\boldsymbol{E} : \boldsymbol{r}_a \otimes \boldsymbol{r}_a \right)
\left(\boldsymbol{E} : \boldsymbol{r}_b \otimes \boldsymbol{r}_b \right)
Examples
--------
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