Homogenization in elasticity -- Models of plates -- Periodic plates -- Macroscopic heat conduction in a fibered body Case of highly conducting fibers at dilute concentration -- to homogenization theory -- Fluids in porous media Darcy's law -- Acoustics in elastic porous media -- Suspension of particles in a viscous fluid -- General introduction to asymptotic methods -- Boundary layers in thermal conduction and elasticity -- Layered plates in traction. Boundary layers -- Singularities in elliptic non smooth problems -- Examples of singularities in thermal conduction and elasticity -- Elastic body with defects distributed near a surface -- Averages, boundary conditions -- Linear problems -- Failure of ductile heterogeneous materials -- Elastic perfectly plastic constituents -- Linear elasticity -- A matrix-inclusion composite -- Closure assumptions -- Variational principles -- Some elementary bounds -- Dynamic problems -- Basic physical data of polycrystal plasticity -- Taylor-type modelling of polycrystal plasticity -- Self-consistent modelling of polycrystal plasticity -- Extended space distribution sensitive self-consistent schemes.