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# Examples

### Annulus Quarter

For better presentation this example can be broken into 6 main parts.
Part 1. Geometry Definition
Problem type: 3D-Plane stress
(a) Initial mesh.
(b) Fine mesh.
Table 1. ​​​Control point number per axis and polynomial degree definition.
Table 2. Geometry.
(a) Initial mesh.
(b) Fine mesh.
Table 3. control point variables (cartesian coordinates and weights of control points).​​
Part 2. Meshing
Knot value vectors (initial mesh):
Knot value vectors (fine mesh):
Part 3. Material
The material is steel with:
Part 4. Boundary Conditions
(a) Initial mesh.
(b) Fine mesh.
Table 4. Boundary conditions. The “1” indicates supported degree of freedom.
(a) Initial mesh.
(b) Fine mesh.
Part 6. Post-Processing

### Index Space

(a) Initial mesh.
(b) Fine mesh.
Figure 3. Index space.​​​

### Parameter Space

(a) Initial mesh.
(b) Fine mesh.
Figure 4. Parameter space.​​​

### Physical Space

(a) Initial mesh.
(b) Fine mesh.
Figure 5. Physical space.​​​

### Stiffness Matrix

(a) Initial mesh.
(b) Fine mesh.
Table 6. Stiffness matrix.​​​
Figure 6. Stiffness matrix.​​​

### PseudoDisplacement

(a) Initial mesh.
(b) Fine mesh.
Table 7. PseudoDisplacement.​​​

### Displacement Field

(a) Initial mesh.
(b) Fine mesh.
Table 8. Gauss point displacement.
Figure 7. Contour. Displacement field.​​​

### Strain Field

(a) Initial mesh.
(b) Fine mesh.
Table 9. Gauss point strain.
Figure 8. Contour. Strain field.​​​

### Stress FIeld

(a) Initial mesh.
(b) Fine mesh.
Table 10. Gauss point stress.
(a) Initial mesh.
(b) Fine mesh.
Table 11. Norm.
Figure 9. Contour. Stress field.​​​
​​Example 8. The quarter of the annulus . 3D NURBS model.