Improved rigorous bounds on the effective elastic moduli of a composite material

Research output: Contribution to journalArticlepeer-review

Abstract

A new method for deriving rigorous bounds on the effective elastic constants of a composite material is presented and used to derive a number of known as well as some new bounds. The new approach is based on a presentation of those constants as a sum of simple poles. The locations and strengths of the poles are treated as variational parameters, while different kinds of available information are translated into constraints on these parameters. Our new results include an extension of the range of validity of the Hashin-Shtrikman bounds to the case of composites made of isotropic materials but with an arbitrary microgeometry. We also use information on the effective elastic constants of one composite in order to obtain improved bounds on the effective elastic constants of another composite with the same or a similar microgeometry.

Original languageEnglish
Pages (from-to)41-62
Number of pages22
JournalJournal of the Mechanics and Physics of Solids
Volume32
Issue number1
DOIs
StatePublished - 1984

Fingerprint

Dive into the research topics of 'Improved rigorous bounds on the effective elastic moduli of a composite material'. Together they form a unique fingerprint.

Cite this