Review Article
50 Years of the K-BKZ Constitutive Relation for Polymers
Table 2
Degrees of freedom (dof) analysis needed for differential versus integral constitutive models for the 2-D finite element of Figure
7.
| | Integral models | Differential models |
|
(dof/elem) |
(dof/elem) | (dof/elem) | (dof/elem) | | Planar | Axisym. | Planar | Axisym. |
| | | 4 | 4 | 4 | 4 | | | 4 | 4 | 4gyy | 4 | | | 4 | 4 | 4gxy | 4 | | | — | 4 | — | 4 |
| | 20 (27) | 22 (31) | 12 | 16 | 12 | 16 |
| |
1-mode total (planar): 22 (31) + 12 + 12 = 46 (55) | |
1-mode total (axisym.): 22 (31) + 16 + 16 = 54 (63) | |
8-mode total (planar): 22 (31) + 8 × 12 + 8 × 12 = 214 (223) | |
8-mode total (axisym.): 22 (31) + 8 × 16 + 8 × 16 = 278 (287) |
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