QUANTHOM is a Starting Grant ERC project (2013), led by Antoine Gloria (Department of Mathematics, Faculty of Sciences)

Antoine Gloria is doing his research in mathematics in the field of partial differential equations, used to describe various phenomena in such fields as physics, mechanics or engineering. The aim of the homogenisation theory is to understand how the actual behaviour of a material obtained by a microscopic assembly of several different materials emerges from the behaviour of each of these constituent materials taken separately (or how, the equation satisfied by the material at a macroscopic scale can be deduced from the equation satisfied by the assembly of materials at the microscopic scale). When the microscopic materials are arranged in a periodic manner, the actual behaviour of the composite material is generally fairly well understood. This is however not the case when the composite material is modelled by a random assembly of materials at a microscopic level, as real materials usually are.
The purpose of this research project is to gain quantitative insight on the stochastic homogenisation theory. One of the proposed applications of this theory is the quantitative derivation of (continuum) rubber elasticity theory from the statistical physics of polymer chain networks, that is, the derivation of "ab initio" constitutive laws for rubber-like materials. Coordinator: ULB, Beneficiary: INRIA (Lille).
End of the project: 31/01/2019

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 335410).

Created on August 9, 2018