2021
DOI: 10.3762/bxiv.2021.42.v1
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A New Method for Obtaining Model-Free Viscoelastic Material Properties from Atomic Force Microscopy Experiments Using Discrete Integral Transform Techniques

Abstract: Viscoelastic characterization of materials at the micro- and nanoscales 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, w… Show more

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Cited by 2 publications
(10 citation statements)
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“…It has been determined that when this discrete result is compared to that of a Kelvin-Voigt and Maxwell-Wiechert models, the modified storage and loss behaviors have similar shapes to the analytical models in terms of the locations of the characteristic times; however, the modified storage and loss behaviors tend to be more spread across the frequency axis by a factor depending on the experimental sampling and 0 . This is discussed in detail elsewhere (Uluutku et al, 2021).…”
Section: Model-free Viscoelasticitymentioning
confidence: 94%
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“…It has been determined that when this discrete result is compared to that of a Kelvin-Voigt and Maxwell-Wiechert models, the modified storage and loss behaviors have similar shapes to the analytical models in terms of the locations of the characteristic times; however, the modified storage and loss behaviors tend to be more spread across the frequency axis by a factor depending on the experimental sampling and 0 . This is discussed in detail elsewhere (Uluutku et al, 2021).…”
Section: Model-free Viscoelasticitymentioning
confidence: 94%
“…To derive the behavior of the Maxwell-Wiechert model, it is convenient to begin with the behavior of a single Maxwell arm (López-Guerra and Solares, 2014;Uluutku et al, 2021). The stress-strain relationship of the elastic spring element and viscous dashpot element can be written as Equation 9 and 10, respectively: = ( 9 When these two elements are connected in series, such as they are in a Maxwell arm, they will experience the same amount of stress as expressed in Equation 11.…”
Section: Figure 6 Maxwell-wiechert Modelmentioning
confidence: 99%
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