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Giordano S. Temperature dependent model for the quasi-static stick-slip process on a soft substrate. SOFT MATTER 2023; 19:1813-1833. [PMID: 36789855 DOI: 10.1039/d2sm01262f] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/18/2023]
Abstract
The classical Prandtl-Tomlinson model is the most famous and efficient method to describe the stick-slip phenomenon and the resulting friction between a slider and a corrugated substrate. It is widely used in all studies of frictional physics and notably in nanotribology. However, it considers a rigid or undeformable substrate and therefore is hardly applicable for investigating the physics of soft matter and in particular biophysics. For this reason, we introduce here a modified model that is capable of taking into consideration a soft or deformable substrate. It is realized by a sequence of elastically bound quadratic energy wells, which represent the corrugated substrate. We study the quasi-static behavior of the system through the equilibrium statistical mechanics. We thus determine the static friction and the deformation of the substrate as a function of temperature and substrate stiffness. The results are of interest for the study of cell motion in biophysics and for haptic and tactile systems in microtechnology.
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Affiliation(s)
- Stefano Giordano
- Univ. Lille, CNRS, Centrale Lille, Univ. Polytechnique Hauts-de-France, UMR 8520 - IEMN - Institut d*Electronique de Microélectronique et de Nanotechnologie, F-59000 Lille, France.
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Richardson BA, Vardar Y, Wallraven C, Kuchenbecker KJ. Learning to Feel Textures: Predicting Perceptual Similarities From Unconstrained Finger-Surface Interactions. IEEE TRANSACTIONS ON HAPTICS 2022; 15:705-717. [PMID: 36215359 DOI: 10.1109/toh.2022.3212701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
Whenever we touch a surface with our fingers, we perceive distinct tactile properties that are based on the underlying dynamics of the interaction. However, little is known about how the brain aggregates the sensory information from these dynamics to form abstract representations of textures. Earlier studies in surface perception all used general surface descriptors measured in controlled conditions instead of considering the unique dynamics of specific interactions, reducing the comprehensiveness and interpretability of the results. Here, we present an interpretable modeling method that predicts the perceptual similarity of surfaces by comparing probability distributions of features calculated from short time windows of specific physical signals (finger motion, contact force, fingernail acceleration) elicited during unconstrained finger-surface interactions. The results show that our method can predict the similarity judgments of individual participants with a maximum Spearman's correlation of 0.7. Furthermore, we found evidence that different participants weight interaction features differently when judging surface similarity. Our findings provide new perspectives on human texture perception during active touch, and our approach could benefit haptic surface assessment, robotic tactile perception, and haptic rendering.
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Skedung L, Collier ES, Harris KL, Rutland MW, Applebaum M, Greaves AJ, Luengo GS. A Curly Q: Is Frizz a Matter of Friction? Perception 2021; 50:728-732. [PMID: 34152243 DOI: 10.1177/03010066211024442] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The oft discussed and fretted over environmental influences on hair have led to a popular consensus which suggests that elevated temperature and humidity lead to frizzier, wilder hair. However, few attempts at actually quantifying these effects have been made. Although frizziness is usually perceived visually, here the influence of variations in temperature and humidity on the tactile perception and friction of curly and straight hair were investigated. It is shown that changes in humidity may disproportionately affect perceived frizziness of curly hair by touch due to concurrent changes in the tactile friction.
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Affiliation(s)
- Lisa Skedung
- L'Oréal Research and Innovation, Aulnay sous Bois, France
| | | | - Kathryn L Harris
- 388792RISE Research Institutes of Sweden AB, Sweden.,L'Oréal Research and Innovation, Aulnay sous Bois, France
| | - Mark W Rutland
- KTH Royal Institute of Technology, Sweden; 388792RISE Research Institutes of Sweden AB, Sweden.,L'Oréal Research and Innovation, Aulnay sous Bois, France
| | - Mara Applebaum
- L'Oréal Research and Innovation, Clark, New Jersey, United States.,L'Oréal Research and Innovation, Aulnay sous Bois, France
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Sahli R, Prot A, Wang A, Müser MH, Piovarči M, Didyk P, Bennewitz R. Tactile perception of randomly rough surfaces. Sci Rep 2020; 10:15800. [PMID: 32978470 PMCID: PMC7519105 DOI: 10.1038/s41598-020-72890-y] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2020] [Accepted: 09/08/2020] [Indexed: 11/09/2022] Open
Abstract
Most everyday surfaces are randomly rough and self-similar on sufficiently small scales. We investigated the tactile perception of randomly rough surfaces using 3D-printed samples, where the topographic structure and the statistical properties of scale-dependent roughness were varied independently. We found that the tactile perception of similarity between surfaces was dominated by the statistical micro-scale roughness rather than by their topographic resemblance. Participants were able to notice differences in the Hurst roughness exponent of 0.2, or a difference in surface curvature of 0.8 \documentclass[12pt]{minimal}
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\begin{document}$$\hbox {mm}^{-1}$$\end{document}mm-1 for surfaces with curvatures between 1 and 3 \documentclass[12pt]{minimal}
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\begin{document}$$\hbox {mm}^{-1}$$\end{document}mm-1. In contrast, visual perception of similarity between color-coded images of the surface height was dominated by their topographic resemblance. We conclude that vibration cues from roughness at the length scale of the finger ridge distance distract the participants from including the topography into the judgement of similarity. The interaction between surface asperities and fingertip skin led to higher friction for higher micro-scale roughness. Individual friction data allowed us to construct a psychometric curve which relates similarity decisions to differences in friction. Participants noticed differences in the friction coefficient as small as 0.035 for samples with friction coefficients between 0.34 and 0.45.
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Affiliation(s)
- Riad Sahli
- INM - Leibniz Institute for New Materials, 66123, Saarbrücken, Germany
| | - Aubin Prot
- INM - Leibniz Institute for New Materials, 66123, Saarbrücken, Germany.,Department of Physics, Saarland University, 66123, Saarbrücken, Germany
| | - Anle Wang
- Department of Materials Science and Engineering, Saarland University, 66123, Saarbrücken, Germany
| | - Martin H Müser
- INM - Leibniz Institute for New Materials, 66123, Saarbrücken, Germany.,Department of Materials Science and Engineering, Saarland University, 66123, Saarbrücken, Germany
| | - Michal Piovarči
- Cluster of Excellence (MMCI), Saarland Informatics Campus, 66123, Saarbrücken, Germany.,Università della Svizzera italiana, 6900, Lugano, Switzerland
| | - Piotr Didyk
- Cluster of Excellence (MMCI), Saarland Informatics Campus, 66123, Saarbrücken, Germany.,Università della Svizzera italiana, 6900, Lugano, Switzerland
| | - Roland Bennewitz
- INM - Leibniz Institute for New Materials, 66123, Saarbrücken, Germany. .,Department of Physics, Saarland University, 66123, Saarbrücken, Germany.
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