Article (Scientific journals)
The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials
Dehghani, Hamidreza; Noll, Isabelle; Penta, Raimondo et al.
2020In European Journal of Mechanics. A, Solids, 83, p. 103996
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Keywords :
Poroelasticity; Finite element method; Poroelastography; Asymptotic homogenisation; Multiscale modelling; Micromechanics
Abstract :
[en] 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.
Disciplines :
Materials science & engineering
Engineering, computing & technology: Multidisciplinary, general & others
Civil engineering
Author, co-author :
Dehghani, Hamidreza ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Noll, Isabelle;  TU Dortmund University > Department of Mechanical Engineering, Institute of Mechanics
Penta, Raimondo;  University of Glasgow > Mathematics and Statistics Building, School of Mathematics and Statistics
Menzel, Andreas;  TU Dortmund University > Department of Mechanical Engineering, Institute of Mechanics ; Lund University > Division of Solid Mechanics
Merodio, Jose;  Universidad Politecnica de Madrid > Departamento de Mecanica de los Medios Continuos y T. Estructuras, E.T.S.I. de Caminos, Canales y Puertos
External co-authors :
Language :
Title :
The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials
Publication date :
Journal title :
European Journal of Mechanics. A, Solids
Publisher :
Elsevier, Paris, Netherlands
Volume :
Pages :
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Name of the research project :
Funders :
EPSRC - Engineering and Physical Sciences Research Council [GB]
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