Date of Award

Fall 1993

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Physics

First Advisor

Day, Art

Second Advisor

Mendelson, Kenneth S.

Third Advisor

Tani, Smio

Abstract

Composite materials are materials that consist of two or more different constituents. Many composite materials have properties that are superior to those of their constituent parts. Consequently, there has been a rapid growth in the use of composite materials in engineering applications and therefore the study of composites is one of great practical importance. It is also a difficult problem of intrinsic theoretical interest. In this thesis, we use numerical simulations to study the elastic properties of composite materials in two dimensions. We use a spring-grid model to study a two dimension elastic sheet containing elliptical holes, and compare our simulation results with Effective Medium Theory (EMT). We found that the EMTs don't describe the physical situation very well. But our simulation are in good agreement with several exact results which provides confidence in the model. We have also developed a visual display system to show the energy and stress fields in the composite material which is used to increase our understanding of the connection between microstructure and properties.

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