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Cosserat curve model for superelasticity of helices

机译：螺旋超弹性的Cosserat曲线模型

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摘要

Superelasticity behavior of helices has been the focus of recent research in micro-ano-engineering, while the traditional Kirchhoff rod model restricts itself in the bending and torsion conditions. With the aid of the concept of a Cosserat curve, a novel theoretical basis has been established for statics and dynamics of helices with essential extension and shear, which is able to quantitatively analyze the superelastic mechanical properties. Except for a good agreement with the experimental observation, numerical solutions have shown that we cannot only predict two important properties of the superelasticity characteristics: the breaking force and the stretch of the coil wire under the axial loading, but also precisely describe and explain the Hooke's constant and torque in the entire stretching and breaking processes. The present work has provided useful information for the future experimental investigation on superelasticity as well as its application in meta-/quantum devices.
机译：螺旋的超弹性行为一直是微/纳米工程领域最新研究的重点，而传统的基尔霍夫棒模型则将自身限制在弯曲和扭转条件下。借助Cosserat曲线的概念，为具有必不可少的拉伸和剪切力的螺旋的静力学和动力学建立了新的理论基础，它能够定量分析超弹性力学性能。除了与实验观察结果很好地吻合外，数值解还表明，我们不仅可以预测超弹性特征的两个重要特性：在轴向载荷下线圈线的断裂力和拉伸，而且可以精确地描述和解​​释胡克线。在整个拉伸和断裂过程中保持恒定和扭矩。目前的工作为未来的超弹性实验研究及其在元/量子设备中的应用提供了有用的信息。

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