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Civil-Comp Conferences
ISSN 2753-3239 CCC: 2
PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping and P. Iványi
Paper 5.4
Homogenization of piezoelectric porous structures for peristalsis-driven flows E. Rohan and V. Lukes
Department of Mechanics & NTIS - New Technologies for Information Society, European Centre of Excellence, Faculty of Applied Sciences, University of West Bohemia, Czech Republic E. Rohan, V. Lukes, "Homogenization of piezoelectric porous structures
for peristalsis-driven flows", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Eleventh International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 2, Paper 5.4, 2022, doi:10.4203/ccc.2.5.4
Keywords: piezo-poroelasticity, peristalsis, unilateral contact, homogenization, fluid
saturated porous media, finite element method.
Abstract
We present a homogenized model of a piezo-poroelastic material which enables to
transport fluid against small pressure slope. To explore functionality of such
metamaterial structures, we develop multiscale computational tools. The
computational models arise from the homogenization of the fluid-structure interaction
problem. Cell problems (at the microlevel) are obtained which provide characteristic
responses of the microstructures with respect to macroscopic strains, fluid pressure
and electric potentials. Although the deformations are assumed to be small, the
macroscopic nonlinearity of the device is captured using the first order expansions of
the homogenized coefficients with respect to macroscopic variables. As an optional
feature of the smart devices, distributed valves are involved which strongly influence
the macroscopic permeability of the material. For this, homogenized model of the
contact problem was developed. We present examples of microstructures and results
of the simulations as the proof of concept aimed at designing smeared peristaltic
pumps in a bulk medium.
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