Analytical model of atomic-force-microscopy force curves in viscoelastic materials exhibiting power law relaxation

被引：37

作者：

de Sousa, J. S. ^{[1
]}

Santos, J. A. C. ^{[1
,2
]}

Barros, E. B. ^{[1
]}

Alencar, L. M. R. ^{[3
]}

Cruz, W. T.

Ramos, M. V. ^{[4
]}

Mendes Filho, J. ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Fis, Caixa Postal 6030, BR-60440900 Fortaleza, Ceara, Brazil

[2] Univ Fortaleza, Av Washington Soares 1321, BR-60811905 Fortaleza, Ceara, Brazil

[3] Inst Fed Educ Ciencia & Tecnol Ceara, R Engenheiro Joao Alfredo S-N, BR-61600050 Caucaia, Ceara, Brazil

[4] Univ Fed Ceara, Dept Bioquim & Biol Mol, Caixa Postal 6033, BR-60440900 Fortaleza, Ceara, Brazil

来源：

JOURNAL OF APPLIED PHYSICS | 2017年 / 121卷 / 03期

关键词：

ELASTIC-MODULUS; NANO-RHEOLOGY; INDENTATION; CELLS; AFM; MICRORHEOLOGY; DEFORMATION; PROGRESSION; BEHAVIOR; HARDNESS;

D O I：

10.1063/1.4974043

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We propose an analytical model for the force-indentation relationship in viscoelastic materials exhibiting a power law relaxation described by an exponent n, where n = 1 represents the standard viscoelastic solid (SLS) model and n<1 represents a fractional SLS model. To validate the model, we perform nanoindentation measurements of polyacrylamide gels with atomic force microscopy (AFM) force curves. We found exponents n<1 that depend on the bisacrylamide concentration. We also demonstrate that the fitting of AFM force curves for varying load speeds can reproduce the dynamic viscoelastic properties of those gels measured with dynamic force modulation methods. Published by AIP Publishing.

引用

页数：8

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