Global Bifurcation of Anti-plane Shear Fronts

Robin Ming Chen, Samuel Walsh, Miles Wheeler

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We consider anti-plane shear deformations of an incompressible elastic solid whose reference configuration is an infinite cylinder with a cross section that is unbounded in one direction. For a class of generalized neo-Hookean strain energy densities and live body forces, we construct unbounded curves of front-type solutions using global bifurcation theory. Some of these curves contain solutions with deformations of arbitrarily large magnitude.
Original languageEnglish
Article number28
JournalJournal of Nonlinear Science
Issue number2
Early online date26 Feb 2021
Publication statusPublished - 30 Apr 2021


  • global bifurcation
  • nonlinear elasticity
  • front
  • anti-plane shear


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