ANALYSIS OF A STRUCTURE WITH A RANDOM GEOMETRY

Abstract

A metal polycrystal, a nonwoven such as felt, a suspension of particles of random size, shape, and loction in a viscous fluid are examples of structures with a random geometry. The problem of interest in connection with such structures is the determination of some average property such as the effective Young's modulus or the effective viscosity or perhaps the probability density function of these properties. The difficulty is not in solving some known mathematical equation, but rather in reducing such problems to exact mathematical terms. The purpose of this paper is to become better acquainted with the nature of the problem by means of an exact analysis of a very simple random structure.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0409598

Entities

People

  • J. L. Sanders Jr.

Organizations

  • Harvard University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Contracts
  • Difference Equations
  • Equations
  • Fokker Planck Equations
  • Geometry
  • Government Procurement
  • Markov Processes
  • Military Research
  • Modulus Of Elasticity
  • Probability
  • Probability Density Functions
  • Random Variables
  • Stiffness
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Systems Analysis and Design