Course

CIVIL-225: Continuum mechanics (for GC)

Summary

Ce cours fondamental couvre les notions de déformations et de contraintes, les grands principes de conservation, les équations d'équilibres, et les lois constitutives. Des applications en mécanique des structures sont abordées en deuxième partie. Le cours introduit aussi les méthodes approchées.

Lectures

Instructor

Jean-François Molinari

Professor J.F. Molinari is the director of the Computational Solid Mechanics Laboratory (http://lsms.epfl.ch) at EPFL, Switzerland. He holds an appointment in the Civil Engineering institute, which he directed from 2013 to 2017, and a joint appointment in the Materials Science institute. He started his tenure at EPFL in 2007, and was promoted to Full Professor in 2012. He is currently an elected member of the Research Council of the Swiss National Science Foundation in Division 2 (Mathematics, Natural and Engineering Sciences), and co editor in chief of the journal Mechanics of Materials. J.F. Molinari graduated from Caltech, USA, in 2001, with a M.S. and Ph.D. in Aeronautics. He held professorships in several countries besides Switzerland, including the United States with a position in Mechanical Engineering at the Johns Hopkins University (2000-2006), and France at Ecole Normale Supérieure Cachan in Mechanics (2005-2007), as well as a Teaching Associate position at the Ecole Polytechnique de Paris (2006-2009). The work conducted by Prof. Molinari and his collaborators takes place at the frontier between traditional disciplines and covers several length scales from atomistic to macroscopic scales. Over the years, Professor Molinari and his group have been developing novel multiscale approaches for a seamless coupling across scales. The activities of the laboratory span the domains of damage mechanics of materials and structures, nano- and microstructural mechanical properties, and tribology.

Official source

Moodle Page

http://go.epfl.ch/CIVIL-225

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Summary

Lectures

Instructor

Jean-François Molinari

Official source

Moodle Page

http://go.epfl.ch/CIVIL-225

Lectures in this course (13)

Mathematical Basics: Index Notation and Tensors

Covers index notation basics and introduces tensors and their transformations.

Continuum Mechanics: Scalar Field Gradient and Unitary Vectors

Explores scalar field gradient, unitary vectors, and vector field divergence in continuum mechanics.

Kinematics of Continuous Media

Explores the kinematics of continuous media, including deformation, rotation, and translation of particles and rigid bodies.

Mechanics of Continuous Media: Deformations and Volume Changes

Covers the interpretation of geometrical components of strain tensor for small deformations and volume changes.

Continuum Mechanics: Deformation and Compatibility Equations

Explores deformation, compatibility equations, stress analysis, and principal stresses in continuum mechanics.

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