A new method for obtaining model-free viscoelastic material properties from atomic force microscopy experiments using discrete integral transform techniques.
A new method for obtaining model-free viscoelastic material properties from atomic force microscopy experiments using discrete integral transform techniques.
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DOI：
10.3762/bjnano.12.79
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发表时间：
2021
影响因子：
3.1
通讯作者：
Solares SD
中科院分区：
文献类型：
--
作者：
Uluutku B;López-Guerra EA;Solares SD
在微米和纳米尺度下的材料的粘弹性表征通常借助于使用原子力显微镜（AFM）获得的力-距离关系来进行。现有方法的一般策略是将观察到的材料行为拟合到特定的粘弹性模型，例如广义粘弹性模型或幂律流变模型等。在这里，我们提出了一种新的方法来反演和获得材料的粘弹性通过使用Z变换，而不使用模型。我们提出的流变粘弹性关系在其经典的推导和他们的z域对应。我们说明了所提出的技术，涉及传统的斜坡形的力-距离AFM曲线的模型实验，从模拟实验和理论预期提取的粘弹性特性之间表现出良好的一致性。我们还提供了一个路径，从提取的材料特性计算标准的粘弹性响应。基于Z变换的新技术是对以前基于模型的粘弹性分析的补充，并且由于其通用性，相对于傅立叶技术可以是有利的。此外，它可以处理传统上用于获取AFM中的力-距离关系的无界输入，例如斜坡函数，其中悬臂位置在有限时间内随时间线性位移。
Viscoelastic characterization of materials at the micro- and the nanoscale is commonly performed with the aid of force–distance relationships acquired using atomic force microscopy (AFM). The general strategy for existing methods is to fit the observed material behavior to specific viscoelastic models, such as generalized viscoelastic models or power-law rheology models, among others. Here we propose a new method to invert and obtain the viscoelastic properties of a material through the use of the Z-transform, without using a model. We present the rheological viscoelastic relations in their classical derivation and their z-domain correspondence. We illustrate the proposed technique on a model experiment involving a traditional ramp-shaped force–distance AFM curve, demonstrating good agreement between the viscoelastic characteristics extracted from the simulated experiment and the theoretical expectations. We also provide a path for calculating standard viscoelastic responses from the extracted material characteristics. The new technique based on the Z-transform is complementary to previous model-based viscoelastic analyses and can be advantageous with respect to Fourier techniques due to its generality. Additionally, it can handle the unbounded inputs traditionally used to acquire force–distance relationships in AFM, such as ramp functions, in which the cantilever position is displaced linearly with time for a finite period of time.
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影响因子：
4.6
作者：
López-Guerra EA;Banfi F;Solares SD;Ferrini G
通讯作者：
Ferrini G
影响因子：
3.9
作者：
Chyasnavichyus, Marius;Young, Seth L.;Tsukruk, Vladimir V.
通讯作者：
Tsukruk, Vladimir V.
影响因子：
17.1
作者：
Amo, Carlos A.;Perrino, Alma P.;Garcia, Ricardo
通讯作者：
Garcia, Ricardo
影响因子：
8.6
作者：
BINNIG, G;QUATE, CF;GERBER, C
通讯作者：
GERBER, C
影响因子：
3.3
作者：
MEAD, DW
通讯作者：
MEAD, DW