Accession Number : ADA302108

Title :   Mathematical Problems in Micro-Mechanics and Composite Materials.

Descriptive Note : Final technical rept. 1 Feb 92-31 Jan 95,

Corporate Author : NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Kohn, Robert V.

PDF Url : ADA302108

Report Date : MAR 1995

Pagination or Media Count : 26

Abstract : This is the final technical report on ARO contract DAAL03-92-G-OO1 I, which began February 1, 1992 and ended January 31, 1995. The scientific focus of this project lies at the frontier where mathematics meets materials science. We are concerned with the effective moduli of composites, the formation of microstructure in coherent phase transitions and random solutions of nonlinear evolution equations. These diverse problems are linked by a common theme: the relationship between microstructure and macroscopic behavior. Our achievements under this contract include: (i) development of a theory for how symmetry and texture determine the recoverable strain of a shape-memory polycrystal; (ii) development of a model for piezoceramic composites, providing insight toward the design of such materials for use in sensors or actuators; and (iii) new, optimal bounds on the effective behavior of elastic polycrystals. The training of young scientists has been a major part of our activity. (MM)

Descriptors :   *PHASE TRANSFORMATIONS, *COMPOSITE MATERIALS, *ARTIFICIAL INTELLIGENCE, *MICROMECHANICS, MICROSTRUCTURE, STOCHASTIC PROCESSES, LAMINATES, ELASTIC PROPERTIES, TURBULENCE, CERAMIC MATERIALS, PIEZOELECTRIC MATERIALS, ACTUATORS, NONLINEAR ALGEBRAIC EQUATIONS, POLYCRYSTALLINE.

Subject Categories : Laminates and Composite Materials
      Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE