Beilstein Journal of Nanotechnology | |
A new method for obtaining model-free viscoelastic material properties from atomic force microscopy experiments using discrete integral transform techniques | |
article | |
Berkin Uluutku1  Enrique A. López-Guerra1  Santiago D. Solares1  | |
[1] Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science | |
关键词: atomic force microscopy; force spectroscopy; material properties; viscoelasticity; | |
DOI : 10.3762/bjnano.12.79 | |
学科分类:环境监测和分析 | |
来源: Beilstein - Institut zur Foerderung der Chemischen Wissenschaften | |
【 摘 要 】
Viscoelastic characterization of materials at the micro- and the nanoscale is commonly performed with the aid of force–distancerelationships 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 theoreticalexpectations. We also provide a path for calculating standard viscoelastic responses from the extracted material characteristics. Thenew technique based on the Z-transform is complementary to previous model-based viscoelastic analyses and can be advantageouswith respect to Fourier techniques due to its generality. Additionally, it can handle the unbounded inputs traditionally used toacquire force–distance relationships in AFM, such as ramp functions, in which the cantilever position is displaced linearly with timefor a finite period of time.
【 授权许可】
CC BY
【 预 览 】
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