A Statistical Theory for Predicting Response of Materials That Possess a Disordered Structure

Abstract

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0768790

Entities

People

  • John J. Mccoy

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Composite Materials
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Ergodic Processes
  • Gaussian Processes
  • Materials
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Physics
  • Probability
  • Probability Density Functions
  • Random Variables
  • Scattering
  • Statistics
  • Stochastic Processes

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Materials Science and Engineering.
  • Theoretical Analysis.