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authorPrefetch2021-04-03 16:04:40 +0200
committerPrefetch2021-04-03 16:04:40 +0200
commit8044008e45f87b95d7a8c9f0fce1847ceedfb09a (patch)
tree5799daecf01b24284fbc624a55856e528e9a7a71 /content/know/concept/cauchy-stress-tensor
parentfd1637c82a7e5a06e4a4de2c7ec518c21278abd5 (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/cauchy-stress-tensor')
-rw-r--r--content/know/concept/cauchy-stress-tensor/index.pdc3
1 files changed, 1 insertions, 2 deletions
diff --git a/content/know/concept/cauchy-stress-tensor/index.pdc b/content/know/concept/cauchy-stress-tensor/index.pdc
index a26e2a8..080254d 100644
--- a/content/know/concept/cauchy-stress-tensor/index.pdc
+++ b/content/know/concept/cauchy-stress-tensor/index.pdc
@@ -108,7 +108,7 @@ $$\begin{aligned}
}
\end{aligned}$$
-The stress components $\sigma_{ij}$ can be written as a second-order tensor
+The stress components $\sigma_{ij}$ can be written as a second-rank tensor
(i.e. a matrix that transforms in a certain way),
called the **Cauchy stress tensor** $\hat{\sigma}$:
@@ -177,7 +177,6 @@ $$\begin{aligned}
F_{s, i}
= \oint_S \sum_j \sigma_{ij} \dd{S_j}
= \int_V \sum_{j} \nabla_{\!j} \sigma_{ij} \dd{V}
- = \int_V \nabla \cdot \vec{\sigma}_i \dd{V}
\end{aligned}$$
In any case, the total force $\va{F}$ can then be expressed