Material property analytical relations for the case of an AFM probe tapping a viscoelastic surface containing multiple characteristic times

López-Guerra, Enrique A.; Solares, Santiago D.

doi:10.3762/bjnano.8.223

Title: Material property analytical relations for the case of an AFM probe tapping a viscoelastic surface containing multiple characteristic times

Journal Article · 26 October 2017 · Beilstein Journal of Nanotechnology

DOI: https://doi.org/10.3762/bjnano.8.223 · OSTI ID:1502935

López-Guerra, Enrique A. ^[1]; Solares, Santiago D. ^[1]

George Washington Univ., Washington, DC (United States). Dept. of Mechanical and Aerospace Engineering

We explore the contact problem of a flat-end indenter penetrating intermittently a generalized viscoelastic surface, containing multiple characteristic times. This problem is especially relevant for nanoprobing of viscoelastic surfaces with the highly popular tapping-mode AFM imaging technique. By focusing on the material perspective and employing a rigorous rheological approach, we deliver analytical closed-form solutions that provide physical insight into the viscoelastic sources of repulsive forces, tip-sample dissipation and virial of the interaction. We also offer a systematic comparison to the well-established standard harmonic excitation, which is the case relevant for dynamic mechanical analysis (DMA) and for AFM techniques where tip–sample sinusoidal interaction is permanent. This comparison highlights the substantial complexity added by the intermittent-contact nature of the interaction, which precludes the derivation of straightforward equations as is the case for the well-known harmonic excitations. The derivations offered have been thoroughly validated through numerical simulations. Despite the complexities inherent to the intermittent-con-tact nature of the technique, the analytical findings highlight the potential feasibility of extracting meaningful viscoelastic properties with this imaging method.

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Research Organization:: George Washington Univ., Washington, DC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0011912

OSTI ID:: 1502935

Journal Information:: Beilstein Journal of Nanotechnology, Vol. 8; ISSN 2190-4286

Publisher:: Beilstein InstituteCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Cited By (5)

Theory of Single-Impact Atomic Force Spectroscopy in liquids with material contrast López-Guerra, Enrique A.; Banfi, Francesco; Solares, Santiago D. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-25828-4	journal	May 2018
Acquisition of time–frequency localized mechanical properties of biofilms and single cells with high spatial resolution López-Guerra, Enrique A.; Shen, Hongchen; Solares, Santiago D. Nanoscale, Vol. 11, Issue 18 https://doi.org/10.1039/c8nr10287b	journal	January 2019
Imaging of viscoelastic soft matter with small indentation using higher eigenmodes in single-eigenmode amplitude-modulation atomic force microscopy Nikfarjam, Miead; López-Guerra, Enrique A.; Solares, Santiago D. Beilstein Journal of Nanotechnology, Vol. 9 https://doi.org/10.3762/bjnano.9.103	journal	January 2018
Acquisition of time-frequency localized mechanical properties of biofilms and single cells with high spatial resolution López-Guerra, Enrique A.; Shen, Hongchen; Solares, Santiago D. arXiv https://doi.org/10.48550/arxiv.1901.03792	preprint	January 2019
Theory of Single-Impact Atomic Force Spectroscopy in liquids with material contrast López-Guerra, Enrique A.; Banfi, Francesco; Solares, Santiago D. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-25828-4	journal	May 2018

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36 MATERIALS SCIENCE
atomic force microscopy
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Title: Material property analytical relations for the case of an AFM probe tapping a viscoelastic surface containing multiple characteristic times

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