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

Alois Dorfmann, Jose Merodio, Ray W. Ogden

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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
Volume68
Issue number1
Early online date12 Aug 2009
DOIs
Publication statusPublished - Sep 2010

Fingerprint

Anisotropic Material
Elastic Material
Boundary value problems
Elasticity
Anisotropy
Anisotropic Elasticity
Nonlinear Elasticity
Nonuniqueness
Plane Strain
Tube
Boundary Value Problem
Energy
Model
Context
Graphics
Character

Keywords

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

Cite this

Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. / Dorfmann, Alois; Merodio, Jose; Ogden, Ray W.

In: Journal of Engineering Mathematics, Vol. 68, No. 1, 09.2010, p. 27-36.

Research output: Contribution to journalArticle

Dorfmann, Alois ; Merodio, Jose ; Ogden, Ray W. / Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material. In: Journal of Engineering Mathematics. 2010 ; Vol. 68, No. 1. pp. 27-36.
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