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. Author manuscript; available in PMC: 2018 Oct 1.
Published in final edited form as: J Comput Phys. 2017 Jul 18;348:433–459. doi: 10.1016/j.jcp.2017.07.025

Table 1.

Error in the inner pressure for cases with different fiber angles, at different dilation levels. ri and ro is the deformed inner and outer radius in the middle section of the tube, respectively. Pnumerical is the inner pressure in the middle section of the tube obtained from our simulations. Panalytic is the inner pressure based on eq. (65). The relative error p=|PnumericalPanalytic|Panalytic

Fiber angle α (degree) ri ro Panalytic Pnumerical εp
45 1.1345
1.2636
1.3850
1.313
1.428
1.537
0.0857
0.1387
0.1781
0.0830
0.1388
0.1777
3.15e-2
7.21e-4
2.25e-3
60 1.1332
1.2632
1.3875
1.312
1.427
1.539
0.0701
0.1111
0.1390
0.0676
0.1105
0.1388
3.57e-2
5.40e-3
1.44e-3
0 1.1312
1.2524
1.310
1.417
0.1355
0.2271
0.1343
0.2264
8.86e-3
3.08e-3