T ABLE
5.3. Hermite basis funetions in the loeal eoordinate system.
Nodes
1
2
3
4
tPl =
~2(~
+ 371
+ 3') - 7~71'
tP2 =
71 2
(71
+ 3~
+ 3') -
7~71'
tP3
=
,2«( + 3~
+ 371)
+ 7~71(
tP4 =
27~71(
Hermite basis functions·
rPs =
e(c371
-
c2
0 + (c2
- c3g71(
rP6 =
712(C
I ( - C3~)
+ (c3
-
cI)~71(
rP7
= (2(C2~
- CI
71)
+ (CI - C2)~71(
• In this table,'
= 1 - ~
-
71;
bi, Ci (i
= 1,2,3) are determined
by (5.1.33).
tPs
= ~2(b2(
-
b371)
+ (b3 -
b2)e71'
tP9
= 712(b3~ -
biO
+ (bi - b3)~71'
tPlO
= (2(bl 71 - b2~)
+ (b2 -
bt>~71'
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