中文摘要：

柱体 hydrogel 在几何学简单并且容易综合，广泛地因此被用来调查 hydrogel 的胀大 / 缩小的不稳定性，许多不稳定性模式在文学被积累。不过，这种唯一的配置的不稳定性模式形成的机制充分远离是被理解。我们使用了并且延长，并且执行了抑制柱体 hydrogel 的胀大导致稳定性的线性不安分析聚合物胶化的最近发达的非线性的理论进圆柱的坐标。我们导出压力和联系平衡方程的增长明确的表达。我们为不稳定性的发作获得了批评条件并且在 hydrogel 的稳定性图上在细节探查了各种各样的参数的效果。稳定性图的变化的物理意思也被解释。

英文摘要：

Cylinder hydrogel is simple in geometry and easy to synthesize, therefore was widely used to investigate the swelling/shrinking instability of hydrogel and many instability patterns were accumulated in the literature. The mechanism of instability pattern formation of this unique configuration, nevertheless, is far from being fully understood. We applied and extended the re- cently developed nonlinear theory of polymer gels into cylindrical coordinates, and performed linear perturbation analysis of swelling-induced stability of a constrained cylinder hydrogel. We derived the incremental formulations of stresses and the associated equilibrium equations. We obtained the critical conditions for the onset of instability and probed in details the effects of var- ious parameters on the stability diagram of the hydrogel. The physical meaning of the variation of stability diagram was also interpreted.