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Fig. 3 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 3

From: Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle

Fig. 3

\(Q_{1}RT_{0}\) Raviart–Thomas finite element and its mapping from the parametric to the physical space. a The deformation map \({\varvec{\varphi }}\) is continuously interpolated using node-based \(\hbox {Q}_{1}\) shape functions. The solvent-volume flux is approximated using edge-based \(\hbox {RT}_{0}\) shape functions. b To obtain the \(\hbox {RT}_{0}\) shape functions and their derivatives in the physical space, a Piola transformation from the parametric space according to (21) is considered

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