On the reduction of constants in plane elasticity with eigenstrains

I. Jasiuk, S. D. Boccara

Research output: Contribution to journalArticlepeer-review


In this paper the reduced parameter dependence in linear plane elasticity with eigenstrains (transformation strains) is studied. The focus is on simply connected inhomogeneous materials and two-phase materials with perfectly bonded interfaces. In the analysis we rely on the result of Cherkaev, Lurie and Milton (Proc. Roy. Soc. Lond. A 438, 519-529, 1992), and we show that the stress field is invariant under a shift in area bulk and shear compliances, if the eigenstrains obey certain conditions. The analysis can be extended to multiply connected inhomogeneous materials and materials with slipping interfaces.

Original languageEnglish (US)
Pages (from-to)425-437
Number of pages13
JournalArchives of Mechanics
Issue number5-6
StatePublished - 2002
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering


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