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
-
Guillermo H. Goldsztein
Georgia Institute of Technology
404-894-2286
ggold@math.gatech.edu -
Robert Lipton
Lousiana State University
225-578-1569
lipton@math.lsu.edu
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 |