
  7. Refine the Mesh
   
  
  
  
  
  In order to obtain more accurate results, we will refine the previous mesh by 
  assigning mesh sizes to the lines on the plate. Since the area around the hole 
  is of greatest interest, when specifying element sizes, it is better to decrease 
  the line division size as the hole is approached. (More elements near the hole)
  
  However, before refining the mesh, you will have to clear the previous mesh 
  :
  
  
  
  PREPROCESSOR -> -Meshing - Clear
  
        CLEAR -> Areas
  
              CLEAR 
  AREAS -> Pick all areas.
  
  UTILITY 
  MENU -> Plot - Areas

  
  You have just cleared your previous mesh. Now we will assign new mesh sizes 
  to the line to create a finer mesh. 
  
  
  PREPROCESSOR -> -Meshing - Size Cntrls
  
       SIZE CNTRLS -> Lines -Picked Lines
  
ELEMENT SIZE ON PICKED LINES -> There are altogether 10 lines on the plate. In the following 4 steps, we will assign the number of element divisions per line and spacing ratio to each line so that there will be more elements on the area around the hole, and also to arrange the elements in a nice order.
1) 
  Pick 2 lines on the edge of the hole, and 2 lines on the opposite sides. (See 
  figure below). Then click APPLY
  
   
    
  
  Enter 12 for number of element divisions per line and 1 for Spacing ratio.Then 
  click APPLY. 
   
|  | Note : | 
| NDIV 
      = If positive, NDIV is the number of element divisions per line. If -1, 
      NDIV is assumed to be zero element divisions per line | |
| SPACE = Spacing ratio. If positive, nominal ratio of last division size to first division size (if > 1.0, sizes increase, if < 1.0, sizes decrease). If negative, |SPACE| is nominal ratio of center division(s) size to end divisions size. Ratio defaults to 1.0 (uniform spacing) | 
 
  2) Pick the three lines that radiate from the hole. (See Figure below) 
  Then click APPLY. 
  
  
  
  Enter 16 for number of element divisions per line and 0.5 for Spacing ratio. 
  Then click APPLY. (More number of element divisions means more elements near 
  the hole. Also, specifying a Spacing ratio less than 1 means that the element 
  sizes decrease as the hole is approached.)
  
  
  
  
  3) Pick the line on the right most edge of the plate. (See Figure) Then 
  click APPLY.
  
  
  
  Enter 12 for number of element divisions per line and 1 for Spacing ratio. Then 
  click APPLY. 

  
  
  4) Pick the remaining 2 lines. (See Figure) Then click APPLY.
  
   
 
  
  
  Enter 16 for number of element divisions per line and 0.5 for Spacing ratio. 
  Then click OK.

  
  Note that the division sizes on the bottom line decrease as the hole is approached. 
  This is because the number of keypoints on the left of the bottom line is less 
  than of the one on the right, when 0.5 was input for the spacing ratio, ANSYS 
  decreased the division sizes from the left to the right on the line. But since 
  we need the opposite result, the next step will lead you to flip the line division 
  which is what we will do next.
After meshing, 
  you should see the figure below. 
  
   
 
Note that after the lines are meshed, there will be letter M's located beside the lines indicate that they are already meshed. Also notice that when the lines are picked, ANSYS shows the numbers of keypoints of those lines in blue. These numbers are important when you assign the spacing ratio. If the spacing ratio is less than one, element sizes decrease along the line from the former keypoint to latter keypoint.
Now, we will flip the line division using the flip bias command.
SIZE CNTRLS -> Flip Bias

  
  FLIP LINE BIAS -> Pick the bottom line that needs 
  to be flipped. 
  
   
 
  
  Click OK. 
  
  Now the plate is ready to be meshed.
  
  PREPROCESSOR -> -Meshing -Mesh
  
        MESH -> Areas -Mapped
  
              MAPPED 
  -> 3 or 4 sided
  
                    MESH 
  AREAS -> Pick all areas.
  
                    MESH 
  AREAS -> OK.
   
  
   
 
  
  Generate a solution, then obtain results as in steps 6a - 6e. Compare results 
  with the ones previously obtained from auto-meshed model. Observe how the results 
  changed with mesh resolution.
  
   <-----Contour Plot of stress xx
 
  <-----Contour Plot of stress xx
  
   <-----Contour Plot of Mises Equivalent
 
  <-----Contour Plot of Mises Equivalent
  
   <-----Stress 
  xx V.S. y
 <-----Stress 
  xx V.S. y
  
   <-----Stress 
  yy V.S. y
 <-----Stress 
  yy V.S. y