Continuum mechanics

The notion of continuum mechanics is introduced and the kinematics and mechanics of such a medium are studied. Linear elasticity is introduced, with deformation as an application. Newtonian fluid mechanics is introduced, with a few examples of classical flows. Finally, numerical modeling is discussed briefly, but sufficiently to give an overview of numerical calculation and simulation.

Mathematics: vector calculus and notions of total derivatives and partial derivatives

What is a continuous medium?
Kinematics of continuous media
Dynamics of continuous media
Conservation of mass
Cauchy tensor
Laws of behavior
linear elasticity

Physics theme

J.Botsis, M.Deville, Mécanique des milieux continus, une introduction, PPUR, 2006 G.Duvaut, Mécanique des milieux continus, Dunod, 1990 (beginning with elasticity and ending with mechanics, 1 course book + 1 exos course)

 A.Curnier, Mécanique des solides déformables , PPUR, 2004 P.Germain, Introduction à la mécanique des milieux continus, Dunod, 1997 with corresponding exercises

J.Obala, Exercices et problèmes de mécanique des milieux continus, Masson, 1997