Criteria for Qualitative Assessment of Relaxation-Recovery Properties of Polymer Textile Materials for Technical Purpose
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Fibre Chemistry, Vol. 52, No. 3, September, 2020 (Russian Original No. 3, May-June, 2020)
CRITERIA FOR QUALITATIVE ASSESSMENT OF RELAXATION-RECOVERY PROPERTIES OF POLYMER TEXTILE MATERIALS FOR TECHNICAL PURPOSES N. V. Pereborova
UDC 539.434:677.494
New criteria for the qualitative assessment of the relaxation-recovery properties of polymer textile materials for technical purposes, obtained on the basis of the study of parameters-characteristics of mathematical models of the relaxation and recovery processes of these materials, are proposed. The developed criteria allow carrying out a qualitative assessment of the relaxation-recovery properties of polymer textile materials for technical purposes, which significantly reduces the technical and economic costs of designing these materials with specified relaxation and recovery properties, since there is no need to manufacture pilot batches of these materials.
Developed on the basis of mathematical simulation of the relaxation-recovery process of polymer textile materials for technical purposes, the method for determining the functional-useful relaxation-recovery properties of these materials [1-3] makes it possible to assess their qualitative characteristics by relaxation-recovery parameters. Let us consider a mathematical model of the relaxation-recovery process of polymer textile materials for technical purposes [4, 5]: Eεt = E0 − (E0 - E∞) ϕεt,
(1)
where the function of the normalized arctangent of the logarithm (NAL) is chosen as the relaxation function ϕεt. It characterizes the integral Cauchy distribution [6]: ϕ εt =
⎛ 1 1 1 1 ⎞ ⎟. + arctg ⎜⎜ ln ⎟ 2 π ⎝ bn ε τ ε ⎠
(2)
Here: τε is the average relaxation time; bnε is the relaxation rate; σt is the stress, changing in time t under the action of deformation. Viscoelastic modulus
E∞ = lim Eεt,
(3)
E0 = lim Eεt,
(4)
t →∞
and elastic modulus t →0
are the two asymptotic values of the relaxation modulus
σt . ε To assess the relaxation-recovery properties of polymeric textile materials for technical purposes, several developed criteria are proposed that can be combined into a single integrated criterion due to the fact that all relaxation-recovery parameters for assessing the properties of these materials are subject to probabilistic Cauchy law and include an assessment of their quality [7-9]. E εt =
Saint Petersburg State University of Industrial Technology and Design. Email: [email protected]. Translated from Khimicheskie Volokna, No. 3, pp. 39-42, May – June, 2020. 168
0015-0541/20/5203-0168© 2020 Springer Science+Business Media LLC
To assess the relaxation-recovery properties of polymeric textile materials for technical purposes, the following criteria are proposed: – the criterion of the material recovery intensity after operation; – the criterion of the material recoverability degree after operation; – the criterion of the possibility of the material repeated recovery during operation; – the time-based recovery criterion of the functional-useful properties of the material after operation; – the c
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