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Figure 1 | Advanced Modeling and Simulation in Engineering Sciences

Figure 1

From: Estimation of the validity domain of hyper-reduction approximations in generalized standard elastoviscoplasticity

Figure 1

Tailored norm. Schematic view of the physically-based norm of the approximation error, related to the convexity of the incremental potential. The ordinates of points on the dashed line are given by \(z\left (\varepsilon ^{\star }\right) = \sum _{n=1}^{N_{t}} \int _{\Omega } w_{\Delta }\left (\varepsilon ^{n}_{\textit {FE}}\right) + \frac {\partial w_{\Delta }}{\partial \varepsilon }\left (\varepsilon ^{n}_{\textit {FE}}\right) :\left (\varepsilon ^{\star n}- \varepsilon ^{n}_{\textit {FE}} \right) \: d\Omega \).

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