journal article·2015-02

Parameter identification of modified fractional Zener model for thermorheological materials

Dong Hao, Dongxu Li, Yihuan Liao

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Abstract

Abstract Parameter identification of an analytical model plays significant role in predicting the dynamic mechanical properties of thermorheological materials over wide frequency range. A deterministic parameter identification method for modified fractional Zener (MFZ) model is studied in this paper. Three of the parameters can be determined directly by deduced formulations, and the other two can be carried out by exhaustive search method within a finite search space. Firstly, parameters of MFZ model are obtained by our method using the dynamic mechanical thermal analysis (DMTA) data. Secondly, the master curves of this model are calculated. The calculated master curves of MFZ model with identified parameters agree well with the DMTA data's master curves obtained by time–temperature superposition principle (TTSP). Finally, the proposed algorithm is compared with genetic algorithm (GA). The results indicate that the presented parameter identification approach of MFZ model is effective. The investigation in this paper has some significant meanings for the industrial applications of thermorheological materials.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Advanced machining processes and optimization · Rheology and Fluid Dynamics Studies · Injection Molding Process and Properties

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References (28)

Show source-provided references
1. Determination of dynamic mechanical properties of engineering thermoplastics at wide frequency range using Havriliak–Negami model10.1002/app.23194 ↗
2. Evidence for a residual elastic modulus in inorganic glasses by mechanical spectroscopy10.1016/S0022-3093(99)00518-9 ↗
3. Chain branching detection by Cole–Cole modeling of rheological properties changes during PET mechanical recycling10.1016/j.polymertesting.2012.01.006 ↗
4. Acoustic log simulation in a viscoelastic formation Cole–Cole model10.1016/j.jappgeo.2011.06.018 ↗
5. From stretched exponential to inverse power-law: fractional dynamics, Cole–Cole relaxation processes, and beyond10.1016/S0022-3093(02)01124-9 ↗
6. Relationship between the time-domain Kohlrausch–Williams–Watts and frequency-domain Havriliak–Negami relaxation functions10.1103/PhysRevB.44.7306 ↗
7. An analysis of dielectric relaxation using the fractional master equation of the stochastic Ising model10.1016/j.jnoncrysol.2010.09.029 ↗
8. A complex plane representation of dielectric and mechanical relaxation processes in some polymers
9. Method for analysis of dynamic mathematical thermal analysis data using the Havriliak–Negami model10.1016/S0040-6031(02)00064-3 ↗
10. A modified fractional Zener model to describe the behaviour of a carbon fibre reinforced polymer
11. Hu · 2012
12. Fractional derivative based FDTD modeling of transient wave propagation in Havriliak–Negami media10.1109/TMTT.2014.2327202 ↗
13. Indentation analysis of fractional viscoelastic solids10.2140/jomms.2009.4.523 ↗
14. Viscoelastic characteristics of fins, muscle and skin in crucian carp (Carassius auratus) described by the fractional Zener model
15. Exploring the mechanical behavior of degrading swine neural tissue at low strain rates via the fractional Zener constitutive model10.1016/j.jmbbm.2013.10.020 ↗
16. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments10.1557/JMR.1992.1564 ↗
17. New procedure to determine steel mechanical parameters from the spherical indentation technique10.1016/S0167-6636(02)00113-8 ↗
18. Parameter identification of analytical and experimental rubber isolators represented by Maxwell models10.1016/j.ymssp.2007.02.007 ↗
19. Identification of the material parameters of a viscous hyperelastic constitutive law from spherical indentation tests of rubber and validation by tensile tests10.1016/j.mechmat.2010.08.003 ↗
20. Identification of finite viscoelasticity and adhesion effects in nanoindentation of a soft polymer by inverse method10.1016/j.commatsci.2013.01.040 ↗
21. Identification of the parameters of the Kelvin–Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers10.1016/j.compstruc.2009.09.001 ↗
22. Determination of dynamic material properties of silicone rubber using one-point measurements and finite element simulations10.1109/TIM.2012.2203449 ↗
23. Characterization of linear viscoelastic behavior of asphalt concrete using complex modulus model10.1061/(ASCE)MT.1943-5533.0000688 ↗
24. A program for the fitting of Debye, Cole–Cole, Cole–Davidson, and Havriliak–Negami dispersions to dielectric data10.1016/j.jcis.2013.12.031 ↗
25. A new identification method of viscoelastic behavior: application to the generalized Maxwell model10.1016/j.ymssp.2010.09.002 ↗
26. A new fractional derivative model for linearly viscoelastic materials and parameter identification via genetic algorithms10.1007/s00397-014-0758-2 ↗
27. Micromechanical modeling of the linear viscoelasticity of carbon-black filled styrene butadiene rubbers: the role of the filler–rubber interphase10.1016/j.mechmat.2012.12.007 ↗
28. Influence of gel content on the physical properties of unfilled and carbon blackfilled natural rubber vulcanizates10.1016/j.polymertesting.2013.07.003 ↗