An Approach for Constructing Families of Homogenized Equations for Periodic Media: 1. An Integral Representation and Its Consequences.

Abstract

The paper, presents an approach which allows us to derive a family of homogenization approaches and assess the accuracy of any homogenization in the relation of given input data. The study of periodic media is one application of partial differential equations that have highly oscillatory, periodic coefficients. essentially, the problem is to solve a elliptic differential equation. One of the main applications of this differential equations is in the field of composite materials. Here the aim is to replace the composite by homogeneous materials with the bulk material properties. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1989
Accession Number
ADA207572

Entities

People

  • Ivo Babuška
  • R. C. Morgan

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Composite Materials
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Inequalities
  • Integrals
  • Maryland
  • Materials
  • Mathematics
  • Numbers
  • Partial Differential Equations
  • Periodic Functions
  • Physical Sciences
  • Security
  • Sequences
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.