Micromechanical analysis of the effective stiffness of poroelastic composites

Miller, L. and Penta, R. (2023) Micromechanical analysis of the effective stiffness of poroelastic composites. European Journal of Mechanics - A/Solids, 98, 104875. (doi: 10.1016/j.euromechsol.2022.104875)

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Abstract

Within this work we investigate the role that the microstructure of a poroelastic material has on the resulting elastic parameters. We are considering the effect that multiple elastic and fluid phases at the same scale (LMRP model (L. Miller and R. Penta, 2020)) have on the estimation of the materials elastic parameters when compared with a standard poroelastic approach. We present a summary of both the LMRP model and the comparable standard poroelastic approach both derived via the asymptotic homogenization approach. We provide the 3D periodic cell problems with associated boundary loads that are required to be solved to obtain the effective elasticity tensor for both model setups. We then perform a 2D reduction of the cell problems, again presenting the 2D boundary loads that are required to solve the problems numerically. The results of our numerical simulations show that whenever investigating a poroelastic composite material with porosity exceeding 5% then the LMRP model should be considered more appropriate in incorporating the structural details in the Young’s moduli E1 and E3 and the shear C44. Whenever the porosity exceeds 20% it should also be used to investigate the shear C66. We find that for materials with less than 5% porosity that the voids are so small that a standard poroelastic approach or the LMRP model produce the same results.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Miller, Dr Laura and Penta, Dr Raimondo
Authors: Miller, L., and Penta, R.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:European Journal of Mechanics - A/Solids
Publisher:Elsevier
ISSN:0997-7538
ISSN (Online):1873-7285
Published Online:29 November 2022
Copyright Holders:Copyright © 2022 The Authors
First Published:First published in European Journal of Mechanics - A/Solids 98: 104875
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
172865EPSRC DTP 16/17 and 17/18Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/N509668/1Research and Innovation Services
303232EPSRC Centre for Multiscale soft tissue mechanics with MIT and POLIMI (SofTMech-MP)Xiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S030875/1M&S - Mathematics
308255The SofTMech Statistical Emulation and Translation HubDirk HusmeierEngineering and Physical Sciences Research Council (EPSRC)EP/T017899/1M&S - Statistics