Abstract
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 language | English |
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Article number | 28 |
Journal | Journal of Nonlinear Science |
Volume | 31 |
Issue number | 2 |
Early online date | 26 Feb 2021 |
DOIs | |
Publication status | Published - 30 Apr 2021 |
Funding
The research of RMC is supported in part by the NSF through DMS-1907584. The research of SW is supported in part by the NSF through DMS-1812436.
Keywords
- global bifurcation
- nonlinear elasticity
- front
- anti-plane shear