summaryrefslogtreecommitdiff
path: root/content/know/concept/cauchy-strain-tensor/index.pdc
diff options
context:
space:
mode:
authorPrefetch2021-04-03 16:04:40 +0200
committerPrefetch2021-04-03 16:04:40 +0200
commit8044008e45f87b95d7a8c9f0fce1847ceedfb09a (patch)
tree5799daecf01b24284fbc624a55856e528e9a7a71 /content/know/concept/cauchy-strain-tensor/index.pdc
parentfd1637c82a7e5a06e4a4de2c7ec518c21278abd5 (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/cauchy-strain-tensor/index.pdc')
-rw-r--r--content/know/concept/cauchy-strain-tensor/index.pdc6
1 files changed, 3 insertions, 3 deletions
diff --git a/content/know/concept/cauchy-strain-tensor/index.pdc b/content/know/concept/cauchy-strain-tensor/index.pdc
index 2994674..f150723 100644
--- a/content/know/concept/cauchy-strain-tensor/index.pdc
+++ b/content/know/concept/cauchy-strain-tensor/index.pdc
@@ -54,7 +54,7 @@ $$\begin{aligned}
Let us choose two nearby points in the deformed solid,
and call them $\va{x}$ and $\va{x} + \va{a}$,
where $\va{a}$ is a tiny vector pointing from one to the other.
-Before the displacement, these points respectively had these positions,
+Before the displacement, those points respectively had these positions,
where we define $\va{A}$ as the "old" version of $\va{a}$:
$$\begin{aligned}
@@ -159,7 +159,7 @@ $$\begin{aligned}
= 2 \va{a} \cdot \hat{u} \cdot \va{b}
\end{aligned}$$
-The Cauchy strain tensor $\hat{u}$ is a second-order tensor,
+The Cauchy strain tensor $\hat{u}$ is a second-rank tensor,
and can alternatively be expressed like so:
$$\begin{aligned}
@@ -320,7 +320,7 @@ we remove it, and isolate the rest for $\delta(\dd{\va{S}})$:
$$\begin{aligned}
\boxed{
\delta(\dd{\va{S}})
- = \big( (\nabla \cdot \va{u}) \va{1} - \nabla \va{u} \big) \cdot \dd{\va{S}}
+ = \big( (\nabla \cdot \va{u}) \hat{1} - \nabla \va{u} \big) \cdot \dd{\va{S}}
}
\end{aligned}$$