Aiming at simulating elastic rods, we discretize a rod model based on a general theory of hyperelasticity for inextensible and unshearable rods. After reviewing this model and discussing topological effects of periodic rods, we prove convergence of the discretized functionals and stability of a corresponding discrete flow. Our experiments numerically confirm thresholds e.g. for Michell's instability and indicate a complex energy landscape, in particular in the presence of impermeability.

中文翻译：

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弹性杆弯扭模型的数值解

为了模拟弹性杆，我们基于不可伸展和不可剪切杆的超弹性一般理论离散化了杆模型。在回顾了这个模型并讨论了周期性棒的拓扑效应之后，我们证明了离散泛函的收敛性和相应离散流的稳定性。我们的实验在数值上证实了阈值，例如米歇尔的不稳定性，并表明了一个复杂的能量景观，特别是在不渗透性的情况下。