A Statistical Theory for Predicting Response of Materials That Possess a Disordered Structure
ARMY MATERIALS AND MECHANICS RESEARCH CENTER WATERTOWN MA
Pagination or Media Count:
clude the response of heterogeneous solids, the mechanics of the flow of blood, the dispersion of additives by a turbulent fluid, the scattering of waves by turbulence, by a temperature structure, etc. In this report a foundation is presented that can be used to describe all of these physically different phenomena. Emphasis is placed on the unique difficulties that present themselves to both the theoretical and the experimentalist and the progress that has been made in surmounting - or circumventing - these difficulties. The foundation is then applied to develop a statistical theory of heterogeneous linearly elastic solids. The applicability of the theory for predicting the response characteristics of a class of ceramics, a type of composite, a polycrystalline solid, etc., is discussed. The practical utility of the theory is demonstrated.