Effective Behavior of Composite Materials
Abstract
The following four problems have been analyzed in detail. First, the effective heat removal rate for an insulating screen with many small holes has been computed. Second, the motion of a particle in a random force field has been analyzed. This is a simplified model for the study of conductivity of a solid with impurities where a high energy conduction electron is modelled by a classical particle and the impurities by a random force field. Third, nonlinear effects in the calculation of effective dielectric constants of composites (periodic and random) have been calculated. Fourth, we have analyzed the nature of the self-focusing singularity of a nonlinear beam in three dimensions. My research objectives and work are as follows: (i) Calculation of properties of boundaries and interfaces of composite materials. (ii) Wave propagation, heat conduction and other transport or dynamic effects in materials with amorphous or random structure and their effective macroscopic description. (iii) Linear and nonlinear electromagnetic effects in composites.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1980
- Accession Number
- ADA207113
Entities
People
- George C. Papanicolaou
Organizations
- New York University