Lie group and invariant solutions of the plane-strain equations of motion of a neo-Hookean solid

Hin Chi Lei, Janet A. Blume

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The full Lie group associated with the equations of motion of the neo-Hookean material in plane strain is reported and the invariant solutions corresponding to the one-and two-parameter subgroups are studied. Closed form solutions of the non-linear partial differential equations are constructed.

Original languageEnglish
Pages (from-to)465-482
Number of pages18
JournalInternational Journal of Non-Linear Mechanics
Volume31
Issue number4
DOIs
StatePublished - Jul 1996

Keywords

  • Invariant solutions
  • Lie group
  • Neo-Hookean solids

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