Numerical analysis of the dependence of rubber hysteresis loss and heat generation on temperature and frequency

Zhi, Jieying; Wang, Shenping; Zhang, Mengjie; Wang, Haiqing; Lu, Hsin-I; Lin, Wenjun; Qiao, Chuanling; Hu, Changxu; Jia, Yuxi

doi:10.1007/s11043-018-9398-8

Cited by 19 publications

(18 citation statements)

References 19 publications

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“…u represents the current time in the integral form of the viscoelastic constitutive model . The time domain relaxation modulus is given as a Prony series form:

E ((), t) = E_{\infty} + \sum_{n = 1}^{N} E_{n} \exp ((), \frac{- t}{τ_{n}})

where E ∞ is the equilibrium state modulus; E n and τ n represent the elastic modulus and relaxation time of n ‐th Maxwell unit, respectively. N is the number of the Maxwell model units.…”

Section: Theoretical Approachmentioning

confidence: 99%

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Coupled analysis on heterogeneous oxidative aging and viscoelastic performance of rubber based on multi‐scale simulation

Zhi

Wang

Zhang

et al. 2019

J of Applied Polymer Sci

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An oxidative aging‐viscoelastic constitutive model was established to study the coupled heterogeneous oxidation and viscoelastic performance of rubber during aging process. The basic elasticity and viscoelasticity of rubber materials were comparatively considered as the function of ongoing aging. The dynamic compression process of natural rubber at different aging times was analyzed by the finite element method. And then the effects of oxygen uptake, diffusion, and oxidative reactions on the dynamic viscoelasticity of rubber were analyzed. The permeability of the oxygen in natural rubber was determined by means of molecular dynamics simulation. The results reveal that the heterogeneous degradation caused by diffusion‐limited oxidation can lead to a complex stress distribution in the natural rubber specimen under dynamic loading condition; the relaxation time and the energy dissipation of the rubber specimen also increased after aging. © 2019 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019, 136, 47452

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“…u represents the current time in the integral form of the viscoelastic constitutive model . The time domain relaxation modulus is given as a Prony series form:

E ((), t) = E_{\infty} + \sum_{n = 1}^{N} E_{n} \exp ((), \frac{- t}{τ_{n}})

where E ∞ is the equilibrium state modulus; E n and τ n represent the elastic modulus and relaxation time of n ‐th Maxwell unit, respectively. N is the number of the Maxwell model units.…”

Section: Theoretical Approachmentioning

confidence: 99%

“…u represents the current time in the integral form of the viscoelastic constitutive model. 30 The time domain relaxation modulus is given as a Prony series form 30,31 :…”

Section: Construction Of Viscoelastic Model Of Aged Rubbermentioning

confidence: 99%

Coupled analysis on heterogeneous oxidative aging and viscoelastic performance of rubber based on multi‐scale simulation

Zhi

Wang

Zhang

et al. 2019

J of Applied Polymer Sci

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“…The heat build-up induced the temperature rise in viscoelastic structures, resulting in the change of their mechanical characteristic and damping capability. [24][25][26] Besides, the enhancement in self-heating temperatures led to a decrease in the elastic modulus, ultimate strength, aging, and fatigue life of rubber-like materials. 27,28 Moreover, the increase of self-heating temperatures can cause severe failures of material structures.…”

Section: Introductionmentioning

confidence: 99%

“…37,38 Besides, numerical computations of the self-heating temperatures and hysteresis loss in rubber materials and polymer composites using finite element analysis (FEA) have been investigated. [20][21][22][23][24][25][26][27][28][29][39][40][41] Several numerical studies focused on the finite element (FE) simulating the self-heating temperatures of viscoelastic materials under cyclic loadings using thermo-mechanical coupling analysis. [21][22][23][24]41 Moreover, the self-heating in rubber materials under cyclic loadings was examined numerically by considering the dissipated energy as a heat source.…”

Section: Introductionmentioning

confidence: 99%

Self-heating and dynamic mechanical behavior of silicone rubber composite filled with carbonyl iron particles under cyclic compressive loading

Nam

Petríková

Marvalová

et al. 2021

Journal of Composite Materials

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Self-heating and dynamic mechanical behavior of isotropic silicone rubber composite (SRC) filled with micro-sized carbonyl iron particles (CIPs) subjected to cyclic compressive loading have been studied. Effects of pre-strains from 5 to 20%, strain amplitudes from 1 to 5%, and excitation frequencies from 10 to 50 Hz on the self-heating and dynamic mechanical response of the isotropic SRC were investigated. The self-heating temperatures were measured on the surface and at the center of cylindrical SRC specimens. The self-heating temperatures of the isotropic SRC samples showed a fast increase in an initial transient stage and the following isothermal stage. The temperature distribution in the isotropic SRC specimens was non-homogeneous and the temperature decreased from the center to sample edges. The self-heating temperatures of the isotropic SRC increased gradually with raising the strain amplitude and frequency. However, the difference between the internal and surface temperatures was slight for low strain amplitudes and frequencies, while it was significant for high strain amplitudes and frequencies. The temperatures of the isotropic SRC boosted rapidly with increasing the pre-strain to 10% and thereafter gained slightly. Although the isotropic SRC dynamic moduli reduced with the rise of the strain amplitude, they enhanced with increasing the pre-strain and frequency. Besides, the storage modulus of the isotropic SRC varied slightly with time, while the loss modulus reduced markedly especially at the initial period. The decrease in the loss modulus of the isotropic SRC under cyclic compressive loading is attributed to its self-heating temperature rise. A finite element simulation of the heat transfer in the SRC cylinder was conducted. The calculated temperatures in the SRC cylinder were in good agreement with the measured ones at different strain amplitudes and frequencies.

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“…The loss of energy eventually dissipates into heat. When the heat is not allowed to flow out to the environment in time, the temperature of the material rises [15][16][17][18], showing a sharp increase as failure approaches. Such a sudden rise in temperature can be regarded as the precursor to fatigue failure.…”

Section: Introductionmentioning

confidence: 99%

Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature

et al. 2020

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As a viscohyperelastic material, filled rubber is widely used as a damping element in mechanical engineering and vehicle engineering. Academic and industrial researchers commonly need to evaluate the fatigue life of these rubber components under cyclic load, quickly and efficiently. The currently used method for fatigue life evaluation is based on the S–N curve, which requires very long and costly fatigue tests. In this paper, fatigue-to-failure experiments were conducted using an hourglass rubber specimen; during testing, the surface temperature of the specimen was measured with a thermal imaging camera. Due to the hysteresis loss during cyclic deformation, the temperature of the material was found to first rise and then level off to a steady state temperature, and then it rose sharply again as failure approached. The S–N curve in the traditional sense was experimentally determined using the maximum principal strain as the fatigue parameter, and a relationship between the steady state temperature increase and the maximum principal strain was then established. Consequently, the steady state temperature increase was connected with the fatigue life. A couple of thousand cycles was sufficient for the temperature to reach its steady state value during fatigue testing, which was less than one tenth of the fatigue life, so the fatigue life of the rubber component could be efficiently assessed by the steady state temperature increase.

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Numerical analysis of the dependence of rubber hysteresis loss and heat generation on temperature and frequency

Cited by 19 publications

References 19 publications

Coupled analysis on heterogeneous oxidative aging and viscoelastic performance of rubber based on multi‐scale simulation

Coupled analysis on heterogeneous oxidative aging and viscoelastic performance of rubber based on multi‐scale simulation

Self-heating and dynamic mechanical behavior of silicone rubber composite filled with carbonyl iron particles under cyclic compressive loading

Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature

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