Titlebook: Mathematics of Multiscale Materials; Kenneth M. Golden,Geoffrey R. Grimmett,Pabitra N. Book 1998 Springer Science+Business Media New York

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Anomalous Diffusion in Random Flows,The simplest model of turbulent transport is the random motion of Brownian particles passively convected by random, incompressible velocity fields.

懒洋洋

covert

转换

explicit

A精确的

evasive

Engulf

Statistical Models for Fracture,ork model for the cracking of the surface of a material subjected to an imposed strain along one boundary, or to a surface shrinkage induced by drying or cooling. Finally, cracks can be grown on a lattice by deterministic rules and their patterns can be fractal due only to the interplay of anisotropy and memory.

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Upper Bounds on Electrorheological Properties,rical and rheological properties may be calculated from first principles through the Bergman-Milton representation. In particular, we obtain the upper bounds on the dielectric constant, the shear modulus, and the static yield stress of the ER fluid in its high field (solid) state.

Assault

Equilibrium Shapes of Islands in Epitaxially Strained Solid Films,land width. We also present numerical results of the full equations to describe the island shape for separated islands, allowing us to characterize the features of the island morphology as a function of island volume.