The Overall Response of Composite Materials Undergoing Large Elastic Deformations
Annual rept. 1 Apr 1989-31 Mar 1990,
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF MECHANICAL ENGINEERING
Pagination or Media Count:
The main goal of this project is to estimate theoretically the overall or effective constitutive properties of nonlinear composite materials undergoing large deformations. Two types of large deformations are of interest large elastic deformations, and large viscous deformations. The proposed method is to apply variational principles that are under development to characterize the range of the effective properties given partial statistical information about the microstructure such as the volume fractions of the phases. For some particular microstructures of interest exact estimates may be given. Significant progress was made over the first year with the development of a new variational principle allowing the estimation of the effective properties of a given nonlinear composite in terms of the effective properties of linear composites which are assumed to be known. The potential significance of this work derives from its simplicity allowing the application of a large body of prior research on linear composites to nonlinear composites. The method has been applied to the case of large viscous deformations, and some results for particular materials systems have already been reported in the pertinent literature.
- Laminates and Composite Materials
- Elastomers and Rubber