Homogenization Techniques For Composite Media: Lectures Delivered At The Cism International Center For Mechanical Sciences, Udine, Italy, July 1-5, 1985 (lecture Notes In Physics)

Homogenization in elasticity....Pages 1-13 Models of plates....Pages 14-29 Periodic plates....Pages 30-41 Macroscopic heat conduction in a fibered body Case of highly conducting fibers at dilute concentration....Pages 42-62 Introduction to homogenization theory....Pages 63-74 Fluids in porous media Darcy's law....Pages 75-84 Acoustics in elastic porous media....Pages 85-102 Suspension of particles in a viscous fluid....Pages 103-119 General introduction to asymptotic methods....Pages 121-136 Boundary layers in thermal conduction and elasticity....Pages 137-147 Layered plates in traction. Boundary layers....Pages 148-160 Singularities in elliptic non smooth problems....Pages 161-175 Examples of singularities in thermal conduction and elasticity....Pages 176-182 Elastic body with defects distributed near a surface....Pages 183-192 Introduction....Pages 193-198 Averages, boundary conditions....Pages 199-208 Linear problems....Pages 209-230 Failure of ductile heterogeneous materials....Pages 231-244 Elastic perfectly plastic constituents....Pages 245-278 Introduction....Pages 279-288 Linear elasticity....Pages 289-297 A matrix-inclusion composite....Pages 298-305 Closure assumptions....Pages 306-313 Variational principles....Pages 314-319 Some elementary bounds....Pages 320-326 Dynamic problems....Pages 327-336 Introduction....Pages 337-340 Basic physical data of polycrystal plasticity....Pages 340-350 Taylor-type modelling of polycrystal plasticity....Pages 350-359 Self-consistent modelling of polycrystal plasticity....Pages 359-383 Extended space distribution sensitive self-consistent schemes....Pages 383-397