0
TECHNICAL BRIEFS

Homogenization and Smoothing: A Unified View of Two Derivations of Effective Property Theories and Extensions

[+] Author and Article Information
L. Fishman, J. J. McCoy

The Catholic University of America, Washington, D.C. 20064

J. Appl. Mech 47(3), 679-682 (Sep 01, 1980) (4 pages) doi:10.1115/1.3153759 History: Received March 01, 1980; Revised April 01, 1980; Online July 21, 2009

Abstract

The response of a continuum characterized by two widely differing length scales, parameterized by the dimensionless ratio ε, is considered in the context of the composite materials problem. The development of a bulk property theory appropriate in the ε → 0 limit is examined, both from the perspective of the deterministic homogenization literature and the smoothing method associated with statistical continuum theory, and a unified framework is established. The extension of bulk property theories through the development of ordered expansions in powers of ε is discussed and specifically related to analogous treatments in linear-gas relaxation theory.

Copyright © 1980 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In