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   <subfield code="a">Nonlinear friction dynamics on fibrous materials, application to the characterization of surface quality. Part I: global characterization of phase spaces</subfield>
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   <subfield code="c">[Stéphane Fontaine, Seydou Dia, Marc Renner]</subfield>
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   <subfield code="a">The diversity and the complexity of fibrous materials (woven fabrics, nonwovens or knitted fabrics) make the control of surface qualities very difficult. The control and the comprehension of the tribological phenomena generated by a dynamic friction are of major importance. Whereas the traditional investigations such as measurements of average parameters like roughness or friction coefficient quickly find their limits on such deformable, heterogeneous and flexible fibrous surfaces with very heterogeneous relief, this series of two publications proposes a new manner of observing the interactions of friction. Our laboratory has developed a patented method of measurements, called MODALSENS, which aims at rubbing a very fine and flexible blade on the analyzed surface. Dynamic friction with the contact generates nonlinear vibrations, and the response of the sensor is analyzed in its phase space using the tools of nonlinear analysis of time series. Then, when the evaluated surfaces change, this first part endeavors to characterize the portraits of phases related to the nonlinear vibrations of MODALSENS in a global way, by quantifying its invariants such as dimensions, Shannon entropies, diameters of attractors and largest Lyapunov exponents. From this first part, a classification of studied fibrous surfaces is built and is expected to give rise to new estimators for the surface quality analysis of fibrous media.</subfield>
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   <subfield code="a">Fibers</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Friction dynamics</subfield>
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   <subfield code="a">Attractor</subfield>
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   <subfield code="a">Lyapunov exponent</subfield>
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   <subfield code="a">PET : Polyethylene terephtalate. Polymer used to make synthetic fibers. The PET fiber is the most produced synthetic fiber in the world. It is found in technical textile industries, in clothing as well as in the industry of pneumatics</subfield>
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   <subfield code="a">Rayon : Rayon or viscose, sometimes called artificial silk, is an artificial fiber invented by Hilaire de Chardonnet in 1884 in the city of Besançon (France). This fiber has characteristics close to those of cotton and is often used in the garment industry</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Velvet : Velvet is a type of woven tufted fabric in which the cut threads are evenly distributed, with a short dense pile, giving it a distinct feel. Velvet can be made from many different kinds of fibers. Velvet is often used to cover car seats</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Spunlacing : Spunlacing is a process of entangling a web of fibers on a porous belt or moving perforated or patterned screen to form a sheet structure by subjecting the fibers to multiple rows of fine high-pressure jets of water. Baby wipes are traditionally made with this process</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Calendering : A calendering process in the nonwovens industry consists in thermally bonding a web of loose fibers by passing them through the nip of a pair of calender rollers, of which one or both are heated. Plain or patterned rollers may be used</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Sanding : An abrasive process used to wear textiles surfaces in order to confer softness. This process generates fine and worn hairiness and is used in the garment industry</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Teflon® : In chemistry, polytetrafluoroethylene (PTFE) is a synthetic fluoropolymer of tetrafluoroethylene that finds numerous applications. PTFE is most well known by the DuPont brand name Teflon. PTFE's coefficient of friction is 0.05 to 0.10, which is one of the lowest of all the solid materials. In textiles, Teflon is used to decrease inter-fiber friction to confer, for example, easy care treatments</subfield>
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