Finite strain poro-hyperelasticity: an asymptotic multi-scale ALE-FSI approach supported by ANNs

The governing equations and numerical solution strategy to solve porohyperelastic problems as multiscale multiphysics media are provided in this contribution. problem starts from formulating non-dimensionalising a Fluid-Solid Interaction (FSI) using Arbitrary Lagrangian-Eulerian (ALE) technique at the pore level. resultant ALE-FSI coupled systems of PDEs expanded analysed asymptotic homogenisation which yields three partially novel PDEs, one macroscopic/effective supplied by two microscale (fluid solid). latter provide microscopic response fields whose average value is required real-time/online form determine macroscale response. This possible efficiently training an Artificial Neural Network (ANN) surrogate for Direct Numerical Solution (DNS) solid problem. present methodology allows solving finite strain (multiscale) accurately direct derivative energy, first time. Furthermore, simple real-time output density check introduced achieve optimal reliable dataset DNS. A Representative Volume Element (RVE) adopted followed performing sensitivity analysis confined consolidation simulation showing importance employing method when dealing with poroelastic/porohyperelastic problems.