Micromechanical analysis of the effective stiffness of poroelastic composites and a first approximation to modelling microstructural changes induced by myocardial infarction

Dr Laura Miller (University of Glasgow)

Thursday 9th March, 2023 14:00-15:00 Maths 311B / (ID: 895 5804 5873)

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 technique. 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.  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 $E_1$ and $E_3$ and the shear $C_{44}$.  Whenever the porosity exceeds 20% it should also be used to investigate the shear $C_{66}$.  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. Finally we investigate how physiologically observed microstructural changes induced by myocardial infarction impact the elastic parameters of the heart.  The results of our simulations agree with the physiological observations that can be made post-infarction.

Add to your calendar

Download event information as iCalendar file (only this event)