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-strain-tensor/index.pdc | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

(limited to 'content/know/concept/cauchy-strain-tensor')

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}$$
 
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