Modélisation mathématique et physique macroscopique
mathematical modeling and macroscopic physics
(Parcours du M2 master M2 'Mathématiques Appliquées et THéoriques')

ECTS Credits: 3

Non Linear Solid Mechanics
Matteo Ciccotti (ESPCI), Benoit Roman (ESPCI)

This class is motivated by a current interest in research for non-linear mechanics for several reasons: i) instabilities are not anymore seen as failure of the structure, but as challenging phenomena that can be harnessed and useful; ii) the current development and better understanding of very soft materials (gels, polymers). The aim of the class is dealing with some selected instabilities in the deformation of soft elastic solids, such as wrinkling and stringing. The teaching will be organized as working in pairs on selected projects that regard instabilities which are still debated in the scientific community. The teaching will be in the form of a weekly guidance to acquire the relevant necessary concepts from continuum mechanics, energetic methods, dynamics, surface physics and nonlinear phenomena and to apply them into the personal investigation of the selected topic by combining several parallel approaches form mechanical physics research strategies such as 1) developing simple mechanical models by scaling methods, 2) realizing simple experiments at home and 3) identifying and critically analyzing the relevant existing papers.



The course will be given on Wednesday afternoons from 2:00 to 6:00 pm at Campus Pierre et Marie Curie - Sorbonne University, from January 18, in room 'MECAWET', 'barre CASSAN', PMMH Lab.