DETERMINATION OF RHEOLOGICAL PARAMETERS OF POLYMER MATERIALS BY IDENTIFICATION OF PRONY VISCOELASTIC MODEL ACCORDING TO DATA OF STATIC AND DYNAMIC TESTS

SHIL’KO Sergei V., Ph. D. in Eng., Assoc. Prof., Laboratory Head, V.A. Belyi Metal-Polymer Research Institute of National Academy of Sciences of Belarus, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

GAVRILENKO Sergei L., Researcher, V.A. Belyi Metal-Polymer Research Institute of National Academy of Sciences of Belarus, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

PANIN Sergei V., D. Sc. in Eng., Prof., Deputy Director for Research, Head of the Chair, Institute of Strength Physics and Materials Science of Siberian Branch Russian Academy of Sciences, Tomsk, Russia; Tomsk Polytechnic University, Tomsk, Russiа, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

ALEKSENKO Vladislav O., Engineer, Post-Graduate Student, Institute of Strength Physics and Materials Science of Siberian Branch Russian Academy of Sciences, Tomsk, Russia; Tomsk Polytechnic University, Tomsk, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

A method for determining the rheological parameters of the Prony model describing the process of viscoelastic deformation of a material was developed by its identification based on the results of dynamic mechanical analysis. For the approbation of method the static (uniaxial stretching) and dynamic (three-point bending) mechanical tests of polymer composites were carried out. Based on the analytical dependence of the storage modulus on the parameters of the Prony model, the parameters of the shear function are determined. The results of static and dynamic analysis are in good agreement. The proposed technique allows us to accelerate the determination of rheological parameters of polymer materials and recommended for calculating the stress-strain state of structural elements and friction joints during their long operation at elevated temperature.

polymer materials, viscoelastic strains, Prony model, identification, static mechanical tests, dynamic mechanical analysis

• Il’yushin A.A. Metod approksimatsiy dlya rascheta konstruktsiy nelineynoy teorii termovyazkouprugosti [Method of approximations for calculating the constructions of the nonlinear theory of thermal viscoelasticity]. Mekhanika polimerov [Mechanics of polymers], 1968, no. 6, pp. 210–221.
• Christensen R.M. Theory of viscoelasticity. An introduction. New York and London, Academic Press, 1971. 245 p.
• Kravchuk A.S., Mayboroda V.P., Urzhumtsev Yu.S. Mekhanika polimernykh i kompozitsionnykh materialov [Mechanics of polymer and composite materials], Moscow, Nauka, 1985. 303 p.
• Starovoitov E.I. K opisaniyu termomekhanicheskikh svoystv nekotorykh konstruktsionnykh materialov [To the description of thermomechanical properties of some structural materials]. Problemy prochnosti [Durability problems], 1988, no. 4, pp. 11–15.
• Povolo P., Schwartz G.A., Hermida E. Stress relaxation of PVC below the yield point. Journal of Polymer Science, 1996, vol. 34, no. 7, pp. 1257–1267.
• Chernous D.A., Shil’ko S.V., Pleskachevsky Yu.M. Opisaniye effekta pamyati formy radiatsionno-modifitsirovannykh polimerov v usloviyakh termomekhanicheskogo vozdeystviya [Description of the shape memory effect of radiation-modified polymers under thermomechanical action]. Inzhenernofizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2004, vol. 77, no. 1, pp. 7–11.
• Gavrilenko S.L., Shil’ko S.V. Identifikatsiya lineynoy vyazkouprugoy modeli Proni po rezultatam ispytaniy na relaksatsiyu pri szhatii [Identification of linear viscoelastic Prony model based on the results of compression relaxation tests]. Teoreticheskaya i prikladnaya mekhanika: mezhdunarodnyy nauchno-tekhnicheskiy sbornik [Theoretical and applied mechanics: international scientific and technical collection], Minsk, 2014, issue 29, pp. 219–223.
• Yuan Q., Misra R.D.K. Polymer nanocomposites: current understanding and issues. Materials Science and Technology, 2006, vol. 22 no. 7. pp. 742–755.
• Luikshin B.А., Shil’ko S.V., Panin S.V. [et al.] Dispersnonapolnennye polimernye komposity tehnicheskogo i medizintskogo naznacheniya [Disperse-filled polymer composites for technical and medical use]. Novosibirsk, 2017, Izd.-vo SO RAN, 367 p.
• Panin S.V., Kornienko L.A., Vannasri S., Ivanova L.R., Shil’ko S.V., Piriyaon S., Puvadin T. Comparison of the efficiency of modification of SHMPE by nanofibers (C, Al₂O₃) and nanoparticles (Cu, SiO₂) when obtaining antifriction composites. Journal of Friction and Wear, 2010, vol. 31, no. 6, pp. 460–468.