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.
|Number of pages||22|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|State||Published - 1 Jan 1995|
ASJC Scopus subject areas
- Engineering (all)