Abstract The Cosserat continuum theory is combined with isogeometric analysis (Cos-IGA) to simulate strain localization problems of geomaterials. The results demonstrate that the numerical solution based on Cos-IGA is convergent and mesh-independent and that the Cos-IGA method can capture the initiation and propagation of the shear band as strain localization problem involved. The Cos-IGA method can also effectively alleviate the influence of mesh distortion in the shear zone, even in the case of large deformations. Further, the Cos-IGA method reduces computational cost and eliminates errors caused by geometric discretization compared with the Cos-FEA method. It suggests that the C 2 cubic (three-order) basis function for Cos-IGA is the best choice for simulating strain localization problems considering computational cost and convergence.

中文翻译：

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基于Cosserat连续介质理论和等几何分析的应变局部化数值模拟

摘要 Cosserat连续介质理论与等几何分析(Cos-IGA)相结合，模拟了岩土材料的应变局部化问题。结果表明，基于 Cos-IGA 的数值解是收敛的且与网格无关，并且 Cos-IGA 方法可以将剪切带的起始和传播捕获为涉及应变局部化问题。Cos-IGA方法还可以有效缓解剪切区网格畸变的影响，即使是在大变形的情况下。此外，与 Cos-FEA 方法相比，Cos-IGA 方法降低了计算成本并消除了几何离散化带来的误差。这表明，考虑到计算成本和收敛性，Cos-IGA 的 C 2 三次（三阶）基函数是模拟应变定位问题的最佳选择。