Linear stress-strain relations in nonlinear elasticity

A. Chiskis*, R. Parnes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Nonlinear strain measures which are compatible with the existence of an elastic potential and lead to a linear stress-strain relation are obtained. An unusual property of these measures is their dependence on material parameters. Standard strain measures commonly used in nonlinear elasticity are shown to be consistent with linear stress-strain relations only for particular cases of Poisson's ratio. Corresponding potentials for these cases are presented.

Original languageEnglish
Pages (from-to)109-113
Number of pages5
JournalActa Mechanica
Issue number1-2
StatePublished - 2001


FundersFunder number
Ministry of Science, Jerusalem, Israel


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