Cette séance de cours couvre le concept d'énergie potentielle liée aux champs de déplacement, la solution d'équilibre et différentes approches pour les applications. Il traite également de la méthode de Ritz, des équations et de la continuité entre les éléments en mécanique.
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.
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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 de
Explore l'énergie cinétique, le travail, le potentiel de la force et la stabilité de l'équilibre en mécanique, en mettant l'accent sur la conservation de l'énergie et l'impact de la force sur les systèmes.
