Dehghani, H., Noll, I., Penta, R. , Menzel, A. and Merodio, J. (2020) The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials. European Journal of Mechanics - A/Solids, 83, 103996. (doi: 10.1016/j.euromechsol.2020.103996)
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Abstract
We present the macroscale three-dimensional numerical solution of anisotropic Biot's poroelasticity, with coefficients derived from a micromechanical analysis as prescribed by the asymptotic homogenisation technique. The system of partial differential equations (PDEs) is discretised by finite elements, exploiting a formal analogy with the fully coupled thermal displacement systems of PDEs implemented in the commercial software Abaqus. The robustness of our computational framework is confirmed by comparison with the well-known analytical solution of the one-dimensional Therzaghi's consolidation problem. We then perform three-dimensional numerical simulations of the model in a sphere (representing a biological tissue) by applying a given constant pressure in the cavity. We investigate how the macroscale radial displacements (as well as pressures) profiles are affected by the microscale solid matrix compressibility (MSMC). Our results suggest that the role of the MSMC on the macroscale displacements becomes more and more prominent by increasing the length of the time interval during which the constant pressure is applied. As such, we suggest that parameter estimation based on techniques such as poroelastography (which are commonly used in the context of biological tissues, such as the brain, as well as solid tumours) should allow for a sufficiently long time in order to give a more accurate estimation of the mechanical properties of tissues.
| Item Type: | Articles |
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| Additional Information: | RP is partially funded by EPSRC grant EP/S030875/1. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Penta, Dr Raimondo |
| Authors: | Dehghani, H., Noll, I., Penta, R., Menzel, A., and Merodio, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | European Journal of Mechanics - A/Solids |
| Publisher: | Elsevier Masson SA |
| ISSN: | 0997-7538 |
| ISSN (Online): | 1873-7285 |
| Published Online: | 31 March 2020 |
| Copyright Holders: | Copyright © 2020 The Authors |
| First Published: | First published in European Journal of Mechanics - A/Solids 83:103996 |
| Publisher Policy: | Reproduced under a Creative Commons licence |
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