Lecture

Generalization of the Model Problem

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In course

ME-372: Finite element method

L'étudiant acquiert une initiation théorique à la méthode des éléments finis qui constitue la technique la plus courante pour la résolution de problèmes elliptiques en mécanique. Il apprend à appliquer cette méthode à des cas simples et à l'exploiter pour ...

Description

This lecture covers the generalization of the model problem in structural mechanics, including the insertion of discontinuities, shifting, and modification of boundary conditions. It also explores the strong formulation of the problem, equilibrium equations, and the link between normal force and displacement. The instructor discusses the analogy with flow continuity equations, the integral formulation of the problem, and the concept of virtual axial displacement.

Instructor

François Gallaire

google scholar https://scholar.google.ch/citations?hl=fr&user=T3OooAcAAAAJ François Gallaire earned his engineering degree from Ecole Polytechnique in 1998 and a master's in Liquids Physics from Université Pierre et Marie Curie in 1999. He completed his PhD in 2002 at LadHyX on swirling flow instabilities and vortex breakdown. After six years at the Mathematics department of Université de Nice, he joined EPFL in 2009, founding the Fluid Mechanics and Instabilities Lab (LFMI). He became an associate professo

Official source

Ontological neighbourhood

Mathematics

Discrete mathematics: Discrete exterior calculus

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