Mathematical Problems in Micromechanics and Composite Materials
Abstract
This is the final technical report on ARO contract DAAH04-95-1-0100, which began March 1, 1995 and ended June 30, 1998. This project's scientific focus was at the frontier where mathematics meets materials science. Physically, it was concerned with issues such as the effective behavior of composites and the formation of microstructure due to coherent phase transformation. Mathematically, it brought to bear a variety of tools including homogenization, the calculus of variations, and nonlinear partial differential equations. Specific accomplishments include: (a) improved understanding of how symmetry and texture determine the recoverable strain of a shape-memory polycrystal; (b) fresh insight concerning twinning and hysteresis in shape-memory materials; (c) progress on fundamental aspects of crystal and polycrystal plasticity; (d) a new approach to pattern formation in certain magnetic materials; and (e) improved models of heterogeneous materials including piezoceramic composites and polymer dispersed liquid crystals.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 12, 1998
- Accession Number
- ADA358023
Entities
People
- Marco Avellaneda
- Robert V. Kohn
Organizations
- New York University