Variational estimates for the creep behaviour of polycrystals

G. DeBotton, P. Ponte Castaneda

Research output: Contribution to journalArticlepeer-review

82 Scopus citations

Abstract

A variational procedure for estimating the effective constitutive behavior of polycrystalline materials undergoing high-temperature creep was developed. The procedure is based on a new variational principle allowing the determination of the effective potential function of a given nonlinear polycrystal in terms of the corresponding potential for a linear comparison polycrystal with an identical geometric arrangements of its constituent single crystal gains. It has the advantage over self-consistent procedure of Hutchinson that it may be applied, without any essential complications, to aggregates of crystals with slip systems exhibiting different creep rules and to general loading conditions.

Original languageEnglish
Pages (from-to)121-142
Number of pages22
JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Volume448
Issue number1932
DOIs
StatePublished - 1 Jan 1995

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