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Elastic modulus of halloysite nanotubes

机译:埃洛石纳米管的弹性模量

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This work reports measurements of the elastic modulus of halloysite nanotubes. Nanoscale three-point bending tests were performed on individual nanotubes using an atomic force microscope. Nanotubes exhibit elastic behaviour at small deformations. The stiffness of the tubes, and hence their elastic modulus, was deduced from force curve measurements using an appropriate mechanical model. The boundary conditions were also identified by recording the stiffness profile of a tube along its suspended length. An average elastic modulus of 140 GPa is obtained for a set of tubes with outer diameters ranging between 50 and 160 nm. Moreover, the elastic modulus increases with decreasing outer diameter, with a steep jump below 50 nm. The size dependence of the elastic modulus may be attributed to: (i) surface tension effects for thinner tubes and (ii) a non-negligible contribution of shear deformations to the total deflection for larger tubes.
机译:这项工作报告了埃洛石纳米管的弹性模量的测量。使用原子力显微镜对单个纳米管进行了纳米级三点弯曲测试。纳米管在很小的变形下表现出弹性。通过使用适当的机械模型从力曲线测量中推导出管的刚度,进而推论其弹性模量。边界条件也可以通过记录管沿其悬挂长度的刚度分布来确定。对于一组外径在50到160 nm之间的管,获得140 GPa的平均弹性模量。此外,弹性模量随着外径的减小而增加,在50 nm以下急剧跳变。弹性模量的尺寸依赖性可归因于:(i)较薄管的表面张力效应,和(ii)较大管的剪切变形对总挠度的不可忽略的贡献。

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