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.

中文翻译：

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反平面剪切锋的全球分叉

我们考虑了不可压缩弹性固体的反平面剪切变形，该弹性固体的参考构造是横截面在一个方向上无界的无限圆柱体。对于一类广义的新Hookean应变能密度和活体力，我们使用全局分叉理论构造了前型解的无界曲线。这些曲线中的某些包含具有任意大幅度变形的解决方案。