Research Article
A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element
Table 3
Results obtained by the element HSF-AP-19
β at selected locations for the linear bending problem (Figure
6).
| | | | | Numerical results | Normalized results | Numerical results | Normalized results | Numerical results | Normalized results |
| Mesh 1 | 6.340 | 0.788 | 67.57 | 0.563 | −67.34 | 0.561 | Mesh 2 | 7.834 | 0.974 | 102.16 | 0.851 | −101.94 | 0.850 | Mesh 3 | 7.915 | 0.984 | 112.57 | 0.938 | −113.12 | 0.943 | Mesh 4 | 7.911 | 0.983 | 112.88 | 0.941 | −112.56 | 0.938 | Mesh 5 | 8.026 | 0.998 | 114.18 | 0.952 | −113.66 | 0.947 | Mesh 6 | 8.035 | 0.999 | 115.74 | 0.965 | −116.11 | 0.968 | Mesh 7 | 8.033 | 0.998 | 113.44 | 0.945 | −113.10 | 0.943 | Mesh 8 | 8.062 | 1.002 | 117.59 | 0.980 | −117.53 | 0.979 | Mesh 9 | 8.055 | 1.001 | 115.67 | 0.964 | −118.93 | 0.991 | Mesh 10 | 8.066 | 1.002 | 117.82 | 0.982 | −117.84 | 0.982 |
| Exact | 8.046 | 120.00 | −120.00 |
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