Research Article
A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element
Table 9
The vertical displacements at point
of Cook’s skew beam problem with heterogeneous materials (Figures
12 and
13).
| | Heterogeneous model | Mesh | Number of elements/nodes | HSF-AP-19β | CPS8 [47] | CPS8R [47] |
| | The first case (a) | Mesh 1 | 9/48 | 18.7076 | — | — | | Mesh 2 | 15/64 | — | 18.6115 | 18.5847 | | Mesh 3 | 50/177 | 18.6890 | 18.7002 | | Mesh 4 | 77/264 | 18.6957 | 18.7000 | | Mesh 5 | 112/383 | 18.7227 | 18.7200 | | Mesh 6 | 424/1365 | 18.7408 | 18.7422 |
| | The second case (b) | Mesh 1 | 27/128 | 19.4072 | — | — | | Mesh 2 | 112/382 | — | 19.3741 | 19.3846 | | Mesh 3 | 245/802 | 19.3992 | 19.4037 | | Mesh 4 | 424/1365 | 19.4062 | 19.4080 | | Mesh 5 | 764/2413 | 19.4103 | 19.4114 |
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