Global Bifurcation of Anti-plane Shear Fronts

被引：0
作者：
Robin Ming Chen
Samuel Walsh
Miles H. Wheeler
机构：
[1] University of Pittsburgh,Department of Mathematics
[2] University of Missouri,Department of Mathematics
[3] University of Bath,Department of Mathematical Sciences
来源：
Journal of Nonlinear Science | 2021年 / 31卷
关键词：
Global bifurcation; Nonlinear elasticity; Front; Anti-plane shear; 35B32; 35J60; 74B20;
D O I：
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学科分类号：
摘要：
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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