Accession Number : ADA207572

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

Descriptive Note : Final rept.,

Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

Personal Author(s) : Morgan, R C ; Babuska, I

PDF Url : ADA207572

Report Date : Feb 1989

Pagination or Media Count : 31

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)

Descriptors :   *COMPOSITE MATERIALS, *PARTIAL DIFFERENTIAL EQUATIONS, *NUMERICAL INTEGRATION, ACCURACY, BULK MATERIALS, COEFFICIENTS, DIFFERENTIAL EQUATIONS, ELLIPSES, HOMOGENEITY, INPUT, INTEGRALS, MEDIA, OSCILLATION

Subject Categories : Numerical Mathematics
      Laminates and Composite Materials

Distribution Statement : APPROVED FOR PUBLIC RELEASE