论文标题
防平面剪切方面的全球分叉
Global bifurcation of anti-plane shear fronts
论文作者
论文摘要
我们考虑了不可压缩的弹性固体的抗平面剪切变形，其参考构型是一个无限的圆柱体，其横截面沿一个方向无限。对于一类广义的新霍克应变能量密度和活体力，我们使用全球分叉理论构建了前型溶液的无限曲线。其中一些曲线包含具有任意幅度变形的溶液。
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.
