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Advanced Modeling and Simulation in Engineering Sciences

Table 5 Relative displacement and relative stress error of the multiscale problem with a hyperelastic RVE

From: Displacement-based multiscale modeling of fiber-reinforced composites by means of proper orthogonal decomposition

t

\(u_3\)

\(\sigma _{33}\)

1000

0.000

0.000

2000

0.000

0.008

3000

0.009

0.010

4000

0.028

0.024

5000

0.048

0.045

6000

0.071

0.064

  1. The table gives the error values over time of the relative deviation \(|\Delta (*)|^*=|\overline{(*)} - (*)|/(|(*)|)\) of the displacement component \(\overline{u_3}\) and stress field \(\overline{\sigma }_{33}\) computed in the FEPOD computation in comparison with the corresponding values \((*)\) of the reference FE\(^2\) computation for the multiscale example with hyperelastic material behavior
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