%0 Journal Article %1 WOS:000393476900013 %A de Sousa, J S %A Santos, J A C %A Barros, E B %A Alencar, L M R %A Cruz, W T %A Ramos, M V %A Filho, J Mendes %C 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA %D 2017 %I AMER INST PHYSICS %J JOURNAL OF APPLIED PHYSICS %K imported %N 3 %R 10.1063/1.4974043 %T Analytical model of atomic-force-microscopy force curves in viscoelastic materials exhibiting power law relaxation %V 121 %X 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.

@article{WOS:000393476900013, abstract = {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.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA}, author = {de Sousa, J S and Santos, J A C and Barros, E B and Alencar, L M R and Cruz, W T and Ramos, M V and Filho, J Mendes}, biburl = {https://www.bibsonomy.org/bibtex/2c20872e950506fd9f98d358688ac7f43/ppgfis_ufc_br}, doi = {10.1063/1.4974043}, interhash = {8cc59c64fe12758a86f98497e9e577db}, intrahash = {c20872e950506fd9f98d358688ac7f43}, issn = {0021-8979}, journal = {JOURNAL OF APPLIED PHYSICS}, keywords = {imported}, number = 3, publisher = {AMER INST PHYSICS}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Analytical model of atomic-force-microscopy force curves in viscoelastic materials exhibiting power law relaxation}, tppubtype = {article}, volume = 121, year = 2017 }