Mathematics of Multiscale Materials

Scaling limit for the incipient spanning clusters. - Bounded and unbounded level lines in two-dimensional random fields. - Transversely isotropic poroelasticity arising from thin isotropic layers. - Bounds on the effective elastic properties of martensitic polycrystals. - Statistical models for fracture. - Normal and anomalous diffusions in random flows. - Calculating the mechanical properties of materials from interatomic forces. - Granular media: some new results. - Elastic freedom in cellular solids and composite materials. - Weakly nonlinear conductivity and flicker noise near percolation. - Fine properties of solutions to conductivity equations with applications to composites. - Composite sensors and actuators. - Bounding the effective yield behavior of mixtures. - Upper bounds on electrorheological properties. - On spatiotemporal patterns in composite reactive media. - Equilibrium shapes of islands in epitaxially strained solid films. - Numerical simulation of the effective elastic properties of a class of cell materials. Language: English