Page 180 - Finite Element Analysis with ANSYS Workbench

9.3 Academic Example 171

2  1 1 1  1  
   
 1 cV 2 1 1 QV 1  
C
    ;     
Q
1 20  1 2 1  Q 4  
1
   
1  1 1 2  1 
where V is the element volume.
The hexahedral element is a widely used element for
analyzing three-dimensional problems. The element consists of
eight nodes and six faces as shown in the figure. The element can
provide higher solution accuracy as compared to the tetrahedral
element. Because the element employs more complicated inter-
polation functions, its element matrices and load vectors must be
determined by using numerical integration.

5 q s
(   ) hT T
6 8
7  ( 4 T  4 )T 

1
2
z 4

y
x 3

9.3 Academic Example

9.3.1 Plate with Specified Edge Temperatures
A rectangular plate with the dimensions of 21 m and
thickness of 0.01 m has specified temperatures along the four
edges as shown in the figure. The plate is made from a material
that has the thermal conductivity coefficient of 1W m- C . We