The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials

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.

TEKNIK OCH TEKNOLOGIER Maskinteknik Annan maskinteknik hsv//swe
ENGINEERING AND TECHNOLOGY Mechanical Engineering Other Mechanical Engineering hsv//eng
Asymptotic homogenisation
Finite element method
Micromechanics
Multiscale modelling
Poroelasticity
Poroelastography

Noll, I.Technical University of Dortmund (författare)
Penta, R.University of Glasgow (författare)
Menzel, A.Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH,Technical University of Dortmund(Swepub:lu)soli-anm (författare)
Merodio, J.Technical University of Madrid (författare)
University of LuxembourgTechnical University of Dortmund (creator_code:org_t)

Av författaren/redakt...: Dehghani, H.; Noll, I.; Penta, R.; Menzel, A.; Merodio, J.

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