Microstructure and Macroscopic Behavior of Random Heterogeneous Materials.
Abstract
This project attempted to systematically and quantitatively characterize the microstructure of heterogeneous materials and to use such information to predict rigorously the macroscopic behavior (e.g., effective moduli). By employing homogenization theory and the methods of statistical mechanics, we were able to mathematically describe the microstructure and, as a result, accurately determine the macroscopic response under a wide range of conditions. A goal was to treat seemingly disparate problems using a unified methodology. The generality of our approach enabled us to treat a wide class of two- and three-phase isotropic and anisotropic heterogeneous materials. This work will aid in leading to a highly cost-effective means of optimally designing heterogeneous materials for a particular application.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 30, 1996
- Accession Number
- ADA322845
Entities
People
- Salvatore Torquato
Organizations
- Princeton University