We are pleased to announce that Hari Shankar Mahato, Assistant Professor at the Department of Mathematics of the IIT Kharagpur (India), will give the SFB 1313 "Pretty Porous Science Lecture" #39. His talk will be on "Homogenisation of a poroelastic model for fiber-reinforced hydrogels".
Date: Tuesday, 23 May 2023
Time: 4:00 pm CET
Speaker: Ass. Prof. Dr. Hari Shankar Mahato, IIT Kharagpur (India)
Lecture title: "Homogenisation of a poroelastic model for fiber-reinforced hydrogels"
Place: Multi Media Lab (MML), U1.003, Pfaffenwaldring 61, 70569 Stuttgart, Campus Vaihingen. If you are interested in participating in the lecture, please contact melanie.lipp@iws.uni-stuttgart.de
Abstract
In this talk, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fiber-reinforced hydrogels will be shown. The medium is considered to be a highly heterogeneous two-component media composed of a connected fiber-scaffold with periodically distributed inclusions of hydrogel. We show that the resulting mathematical problem admits a unique weak solution and investigate the limit behavior (in the sense of two-scale convergence) of the solutions with respect to a scale parameter, characterizing the heterogeneity of the medium. We obtain an effective model where the micro variations of the pore pressure give rise to a micro stress correction at the macro scale.