From 8044008e45f87b95d7a8c9f0fce1847ceedfb09a Mon Sep 17 00:00:00 2001 From: Prefetch Date: Sat, 3 Apr 2021 16:04:40 +0200 Subject: Expand knowledge base --- content/know/concept/cauchy-stress-tensor/index.pdc | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) (limited to 'content/know/concept/cauchy-stress-tensor') 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 -- cgit v1.2.3