Global bifurcation of anti-plane shear fronts
Analysis of PDEs
2021-09-22 v1
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.
Cite
@article{arxiv.2008.09453,
title = {Global bifurcation of anti-plane shear fronts},
author = {Robin Ming Chen and Samuel Walsh and Miles H. Wheeler},
journal= {arXiv preprint arXiv:2008.09453},
year = {2021}
}
Comments
21 pages, 2 figures