Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material

Alois Dorfmann, Jose Merodio, Ray W. Ogden

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In the context of nonlinear anisotropic elasticity the model plane-strain problem of azimuthal shear of a circular cylindrical tube is considered. In particular, the effect of anisotropy associated with preferred material directions on the emergence and disappearance of non-uniqueness of solution is examined. The non-smooth character of the global energy-minimizing solution of the boundary-value problem in which the inner boundary is fixed and the outer boundary is subject to a prescribed shear traction is highlighted and illustrated graphically.
Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalJournal of Engineering Mathematics
Issue number1
Early online date12 Aug 2009
Publication statusPublished - Sep 2010



  • anisotropic elasticity
  • finite elasticity
  • large deformations
  • loss of ellipticity

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