Composites with a Periodic Structure, Mathematical Analysis and Numerical Treatment.

Abstract

This paper introduces a systematic approach for the derivation of models that describe the behavior of composites with a periodic structure. A technique for analyzing the accuracy of the model is addressed. Although the theory has been developed for the general, n-dimensional setting, the main ideas in this paper are presented for the 1-dimensional case only, for reasons of simplicity. The effectivity of the approach is illustrated with numerical examples. Also, the approach has the potential of being used to adaptively select the best homogenization model. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA148301

Entities

People

  • Ivo Babuška
  • R. C. Morgan

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Analytic Functions
  • Boundary Layer
  • Coefficients
  • Composite Materials
  • Differential Equations
  • Equations
  • Fourier Transformation
  • Integrals
  • Materials
  • Mathematical Analysis
  • Military Research
  • Numbers
  • Periodic Functions
  • Physical Sciences
  • Power Series
  • Rational Functions

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)