ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity

DOI10.1007/s00466-021-02023-3zbMath1480.74063arXiv2103.06569OpenAlexW3159718241WikidataQ113326705 ScholiaQ113326705MaRDI QIDQ2666084

Andreas Zilian, Hamidreza Dehghani

Publication date: 22 November 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06569

zbMATH Keywords

localisationhomogenisationdata-driven computational mechanicsnon-Darcy modelartificial neural network methodbrain tissue modelincremental finite strain poroelasticity

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Numerical and other methods in solid mechanics (74S99)

Related Items (2)

SEM: a shallow energy method for finite deformation hyperelasticity problems ⋮ Finite strain poro-hyperelasticity: an asymptotic multi-scale ALE-FSI approach supported by ANNs

Uses Software

• Adam

Cites Work

• A poroplastic model of structural reorganisation in porous media of biomechanical interest
• Brain tissue deforms similarly to filled elastomers and follows consolidation theory
• Incompressible porous media models by use of the theory of mixtures
• The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials
• Poroelastic model parameter identification using artificial neural networks: on the effects of heterogeneous porosity and solid matrix Poisson ratio
• Computational mechanics enhanced by deep learning
• Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• The role of the microvascular tortuosity in tumor transport phenomena
• Data-driven computational mechanics
• Incremental analysis of large deflections of shells of revolution
• Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives
• Poroelasticity equations derived from microstructure
• The consolidation of a soil stratum, including self‐weight effects and large strains
• Incremental plasticity analysis of frictional soils
• Nonlinear corrections to Darcy's law at low Reynolds numbers
• Effective equations governing an active poroelastic medium
• A pseudo–elastic model for the Mullins effect in filled rubber
• Effective equations for fluid-structure interaction with applications to poroelasticity
• Nonlinear Continuum Mechanics for Finite Element Analysis
• Effective governing equations for poroelastic growing media
• Large Strain, Elasto-Plastic Finite Element Analysis
• The effect of weak inertia on flow through a porous medium

This page was built for publication: ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity