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arXiv · 2008.09453

Global bifurcation of anti-plane shear fronts

Robin Ming Chen·Samuel Walsh·Miles H. Wheeler
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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.

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Robin Ming Chen, Samuel Walsh, Miles H. Wheeler. 2020-08-21. Global bifurcation of anti-plane shear fronts. https://doi.org/10.1007/s00332-021-09684-7

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