arrow
Search icon

Moropho-poroelasticity: effective descriptions of active deformable media

UL MACSI and Maths and Stats Seminar - Fri 4th Nov (4pm in A2-002)

The department of Mathematics and Statistics at the University of Limerick invites you to a seminar by Prof. Reuben O'Dea (University of Nottingham):

Title: Moropho-poroelasticity: effective descriptions of active deformable media

Abstract: The derivation of so-called `effective descriptions' that explicitly incorporate microscale physics into a macroscopic model has garnered much attention over recent years, with popular applications in poroelasticity, and models of the subsurface in particular. More recently, such approaches have been applied to describe the physics of biological tissue. Here, a key feature is that in addition to the classical difficulties associated with fluid-structure interactions in poroelastic media, the material is `active', undergoing both elastic deformation and growing/swelling in response to local physical or chemical processes. 

In this work, a morpho-elastic description of a growing poroelastic medium is considered, together with the passive transport of a solute which acts to regulate the growth dynamics, and an appropriate macroscale description obtained by means of two-scale asymptotics. Importantly, the restrictive assumptions typically made on the underlying model in such studies, to reduce the degree of non-linearity and/or enforce quasi-static conditions, are relaxed by considering finite growth and deformation at the pore scale. The resulting coupled system describing growth and transport dynamics is of relevance both to biological tissue growth, and in a more general applied setting, such as swelling in porous clays and coal, as well as in industrial media such as absorbent hygiene products.

This seminar will take place on Friday, November 4, at 4pm, in A2-002.

If you have any questions regarding this seminar, please direct them to Iain Moyles (061 233726, iain.moyles@ul.ie).  

A full list of upcoming seminars can be found at https://ulsites.ul.ie/macsi/node/48011

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.

 

Sfi logo