Homogenization Techniques for Composite Media

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