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Merge pull request #418 from robbievanleeuwen/paper-fixes
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Fix `paper.md` - `rm` to `textrm`
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robbievanleeuwen committed Apr 19, 2024
2 parents b098df1 + e0e1dc8 commit e01f3ee
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions paper/paper.md
Expand Up @@ -89,11 +89,11 @@ $$
where the stiffness matrix and load vector at the element level are defined as:

$$
\textbf{k}^e = \sum_{i=1}^6 w_i \textbf{B}_i^{\rm T} \textbf{B}_i J_i
\textbf{k}^e = \sum_{i=1}^6 w_i \textbf{B}_i^{\textrm{T}} \textbf{B}_i J_i
$$

$$
\textbf{f}^e = \sum_{i=1}^6 w_i \textbf{B}_i^{\rm T}
\textbf{f}^e = \sum_{i=1}^6 w_i \textbf{B}_i^{\textrm{T}}
\begin{bmatrix}
\textbf{N}_i \textbf{y}_e \\
-\textbf{N}_i \textbf{x}_e \\
Expand All @@ -110,7 +110,7 @@ to zero [@larson].

$$
\begin{bmatrix}
\textbf{K} & \textbf{C}^{\rm{T}} \\
\textbf{K} & \textbf{C}^{\textrm{T}} \\
\textbf{C} & 0 \\
\end{bmatrix}
\begin{bmatrix}
Expand All @@ -129,7 +129,7 @@ warping function has been evaluated, the Saint-Venant torsion constant can be ca
as follows:

$$
J = I_{xx} + I_{yy} - \boldsymbol{\omega}^{\rm T} \textbf{K} \boldsymbol{\omega}
J = I_{xx} + I_{yy} - \boldsymbol{\omega}^{\textrm{T}} \textbf{K} \boldsymbol{\omega}
$$

The calculation of plastic properties is meshless, and is conducted using an iterative
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