Reference : The role of microscale solid matrix compressibility on the mechanical behaviour of po...
Scientific journals : Article
Engineering, computing & technology : Civil engineering
Engineering, computing & technology : Materials science & engineering
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials
Dehghani, Hamidreza mailto [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 mailto [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 mailto [Universidad Politecnica de Madrid > Departamento de Mecanica de los Medios Continuos y T. Estructuras, E.T.S.I. de Caminos, Canales y Puertos]
European Journal of Mechanics. A, Solids
Yes (verified by ORBilu)
[en] Poroelasticity ; Finite element method ; Poroelastography ; Asymptotic homogenisation ; Multiscale modelling ; Micromechanics
[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.

File(s) associated to this reference

Fulltext file(s):

Open access
1-s2.0-S0997753819310198-main.pdfPublisher postprint2.4 MBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.