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Fig. 5 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 5

From: Enriched continuum for multi-scale transient diffusion coupled to mechanics

Fig. 5

Hydrostatic stress \( {\hat{\sigma }}_{hyd} = \frac{{\hat{\sigma }}_{11}+{\hat{\sigma }}_{22}}{3} \) induced at the microscale due to diffusion mechanical coupling at time \( {\hat{t}} = 250\Delta {\hat{t}} \). a Fully resolved finite element solution \( {\hat{\sigma }}_{hyd}^{FE} \)b reduced order solution \( {\hat{\sigma }}_{hyd}^{ROM} \) and c the relative error with respect to their average \( \frac{{\hat{\sigma }}_{hyd}^{FE}-{\hat{\sigma }}_{hyd}^{ROM}}{0.5({\hat{\sigma }}_{hyd}^{FE}+{\hat{\sigma }}_{hyd}^{ROM})} \)

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