The influence of strain amplitude, temperature and frequency on complex shear moduli of polymer materials under kinematic harmonic loading

• Autorzy: Hashemi M. , Zhuk Y.
• Języki publikacji: EN

Abstrakty

EN

Modeling of the cyclic deformation of viscoelastic materials as the key aspects of analysis of the structural behavior is performed. The approach that uses the complex-value amplitude relations is preferred rather than direct numerical integration of the complete set of constitutive equation for the material. Time dependent transient inelastic response of polymer materials to monoharmonic kinematic loading is simulated by the Goldberg constitutive model. To predict the steady-state response in terms of amplitudes, the relations between the amplitudes of main field variables are established with making use of complex moduli concept. It is performed by making use of equivalent linearization technique. It is shown that this technique leads to overestimation of stress amplitude. To avoid this, the modified equivalent linearization technique is applied. Characterization of the complex moduli dependence on frequency and temperature as well as amplitude of strain intensity is performed. Results demonstrate a weak dependence of loss moduli on the frequency of the loading within the wide interval of it, while variation of storage moduli with increasing temperature is more pronounced.

Słowa kluczowe

EN

harmonic loading; amplitude relations; inelastic deformation; complex moduli

PL

obciążenia harmoniczne; relacje amplitudowe; deformacja niesprężysta; moduły zespolone

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 1
• Strony: 157--170
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Hashemi M.

• Theoretical and Applied Mechanics Dept., Faculty of Mechanics and Mathematics, Taras Shevchenko National University, Kyiv, Ukraine

autor

Zhuk Y.

• Theoretical and Applied Mechanics Dept., Faculty of Mechanics and Mathematics, Taras Shevchenko National University, Kyiv, Ukraine

Bibliografia

• [1] Beards, C. E.: Structural Vibration: Analysis and Damping, London, 1996.
• [2] Zhuk, Y. A. and Senchenkov, I. K.: Modelling the stationary vibrations and dissipative heating of thin-walled inelastic elements with piezoactive layers, Int. Appl. Mech., 40, 546-556, 2004.
• [3] Bodner, S. R. and Partom, Y.: Constitutive equations for elastoviscoplastic strain hardening material, Trans. ASME, J. Appl. Mech., 42, 385-389, 1975.
• [4] Frank, G. J. and Brockman, R. A.: A Viscoelastic-viscoplastic constitutive model for glassy polymers, Int. J. Solids Struct., 38, 5149-5164, 2001.
• [5] Goldberg, R. K.: Computational simulation of the high strain rate tensile response of polymer matrix composites, NASA/TM, 211489, 2002.
• [6] Zaïri, F., Woznica, K. and Naï, A. M.: Phenomenological nonlinear modeling of glassy polymers, C. R. Mecanique, 333, 359-364, 2005.
• [7] Czechowski, L.: Dynamic Response of Viscoplastic Thin-Walled Griders in Torsion, Mechanics and Mechanical Engineering, 17, 1, 7-16, 2013.
• [8] Czechowski, L.: Dynamic stability of rectangular orthotropic plates subjected to combined in-plane pulse loading in the elasto-plastic range, Mechanics and Mechanical Engineering, 12, 4, 309-321, 2008.
• [9] Senchenkov, I. K., Zhuk, Y. A. and Karnaukhov, V. G.: Modeling the thermomechanical behavior of physically nonlinear materials under monoharmonic loading, Int. Appl. Mech., 40, 943-969, 2004.
• [10] Gilat, A, Goldberg, R. K. and Roberts, G. D.: Incorporation of the effects of temperature and unloading into the strain rate dependent analysis of polymer matrix materials utilizing a state variable approach, Earth and Space, 1-8, 2006.
• [11] Li, F.Z. and Pan, J.: Plane-Stress Crack-Tip Fields for Pressure-Sensitive Dilatant Materials, Journal of Applied Mechanics, 57, 40-49, 1990.
• [12] Hashemi, M. and Zhuk, Y. A.: A procedure for complex moduli determination for polycarbonate plastic under harmonic loading, Bulletin of KNU, Ser.: Physical and Mathematical Sciences, 4, 67-73, 2015.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).