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author | Prefetch | 2021-04-03 16:04:40 +0200 |
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committer | Prefetch | 2021-04-03 16:04:40 +0200 |
commit | 8044008e45f87b95d7a8c9f0fce1847ceedfb09a (patch) | |
tree | 5799daecf01b24284fbc624a55856e528e9a7a71 /content/know/concept/cauchy-stress-tensor/index.pdc | |
parent | fd1637c82a7e5a06e4a4de2c7ec518c21278abd5 (diff) |
Expand knowledge base
Diffstat (limited to 'content/know/concept/cauchy-stress-tensor/index.pdc')
-rw-r--r-- | content/know/concept/cauchy-stress-tensor/index.pdc | 3 |
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 |