Local field properties, microstructure, and multiscale phenomena in heterogeneous media

The goal of this Symposium is to bring together researchers working on quantifying the effect of material heterogeneity on the local fields inside materials. Large local stresses, for example, are known to initiate damage inside heterogeneous media and contribute to extreme macroscopic properties. The topics in this Symposium include xtremal micro-structures that support large and small local fields, new methods for bounding field distributions inside statistically defined media and the identification of extreme macroscopic properties and scaling laws.

Organizers


Schedule

Monday 3

Room Time Talk
Excellence Room 2:00 PM Inverse Homogenization: Identification of the structure of composites from effective properties
Elena Cherkaev
Excellence Room 2:20 PM Attainability of Hashin-Shtrikman Bounds for Multiphase Composites
Liping Liu
Excellence Room 2:40 PM Random fluctuations of the solutions to equations with highly oscillatory coefficients
Guillaume Bal
Excellence Room 3:00 PM Singular behavior of the overall properties of high contrast densely packed composite materials
Yuliya Gorb, Alexei Novikov, Leonid Berlyand
Excellence Room 3:20 PM Gradient Estimates for the Conductivity Problems
Shiting Bao, Yanyan Li, Biao Yin

Monday 4

Room Time Talk
Excellence Room 4:00 PM Quantitative Description of the Morphology of a Randomly-Distributed Particulate Composite Material
Seth E. Watts, Daniel A. Tortorelli, Thomas G. Eason
Excellence Room 4:20 PM The Yield Strength of Composites. Analysis of a Toy Model
Guillermo Goldsztein
Excellence Room 4:40 PM A Multiscale Approach to Model Heterogeneous Materials
Qiushi Chen, Jose E. Andrade
Excellence Room 5:00 PM Local fields in Nonlinear Power Law Materials.
Silvia Jimenez, Robert Lipton
Excellence Room 5:20 PM Optimal Bounds on Local Stress and Strain Fields Inside Random Media
Robert Lipton, Bacim Alali