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Wenbo Luo
Hunan Key Laboratory of Geomechanics and Engineering Safety, Xiangtan University, Xiangtan 411105, China

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Short Biography

Prof. Luo received his PhD degree from Huazhong University of Science and Technology in China in 2001, his main research interest includes rheology of solids, theory of viscoelasticity, mechanics of pavement materials, mechanics of polymers. He has published a monograph and more than 130 papers, including 65 international journals or international conferences.

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Journal article
Published: 14 April 2021 in Polymers
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The mechanical behavior of asphalt mixture under high stresses presents nonlinear viscoelasticity and permanent deformation. In this paper, a nonlinear fractional viscoelastic plastic (NFVEP) creep model for asphalt mixture is proposed based on the Nishihara model, with a Koeller spring-pot replacing the Newton dashpot. The NFVEP model considers the instantaneous elasticity, viscoelasticity with damage and time-hardening viscoplasticity with damage concurrently, and the viscoelastic response is modeled by fractional derivative viscoelasticity. To verify the model, uniaxial compressive creep tests under various stresses ranging from 0.4 MPa to 0.8 MPa were carried out at room temperature. The NFVEP model predictions are in good agreement with the experiments. The comparison with the modified Nishihara model and the Burgers model reveals the advantages of the NFVEP model. The results show that the NFVEP model, with the same set of parameters, can not only describe the primary and steady-state creep stages of asphalt mixture under low stress levels but also the whole creep process, including the tertiary creep stage, of asphalt mixture under high stress levels.

ACS Style

Yongjun Zhang; Xiu Liu; Boyuan Yin; Wenbo Luo. A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture. Polymers 2021, 13, 1278 .

AMA Style

Yongjun Zhang, Xiu Liu, Boyuan Yin, Wenbo Luo. A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture. Polymers. 2021; 13 (8):1278.

Chicago/Turabian Style

Yongjun Zhang; Xiu Liu; Boyuan Yin; Wenbo Luo. 2021. "A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture." Polymers 13, no. 8: 1278.

Journal article
Published: 02 June 2020 in Applied Sciences
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In order to quantitatively describe the time-varying mechanical properties of asphalt mixture during creep process, a nonlinear viscoelastoplastic creep model was proposed, by using variable-order fractional calculus. The differential order of the variable-order fractional element of the model is no longer constant, but a variable that changes with time, which reflects the changes of the mechanical properties of the material during the creep process. Whereas the tertiary creep phase is modeled by the viscoplastic element with time-varying viscosity, which is attributed to damage evolution. The uniaxial creep compression tests of AC-13C asphalt mixture under different stress levels (0.7 MPa, 0.9 MPa, 1.1 MPa, 1.3 MPa, 1.5 MPa, 1.7 MPa) were carried out with MTS-809 testing machine at 25 °C, and the test results were analyzed by the model using Levenberg–Marquardt optimization algorithm. It is shown that creep damage occurs when the applied stress exceeds a certain critical value, and the damage incubation time depends on the applied stress level. The higher stress decreases the damage incubation time. The model is in good agreement with the experimental results, and is applicable to describe the entire creep process, which consists of primary, steady and tertiary stages. Moreover, the variation of the model parameter can describe the change of viscoelastic properties of the material during the creep process. The differential order of the variable-order fractional element is constant during the primary creep stage, indicating that the creep behavior of the asphalt mixture is linear viscoelastic in small strain range. For the same stress level, the fractional order of the steady creep stage is greater than that of the primary creep stage, and it increases with the increasing stress level, which shows that the viscous behavior in the steady creep is more remarkable than that in the primary creep, and the higher the stress level, the more prominent the viscous performance exhibits.

ACS Style

Wenbo Luo; Bo Li; Yongjun Zhang; Boyuan Yin; Jingling Dai. A Creep Model of Asphalt Mixture Based on Variable Order Fractional Derivative. Applied Sciences 2020, 10, 3862 .

AMA Style

Wenbo Luo, Bo Li, Yongjun Zhang, Boyuan Yin, Jingling Dai. A Creep Model of Asphalt Mixture Based on Variable Order Fractional Derivative. Applied Sciences. 2020; 10 (11):3862.

Chicago/Turabian Style

Wenbo Luo; Bo Li; Yongjun Zhang; Boyuan Yin; Jingling Dai. 2020. "A Creep Model of Asphalt Mixture Based on Variable Order Fractional Derivative." Applied Sciences 10, no. 11: 3862.

Journal article
Published: 07 April 2020 in Polymers
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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.

ACS Style

Wenbo Luo; Youjian Huang; Boyuan Yin; Xia Jiang; Xiaoling Hu. Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature. Polymers 2020, 12, 846 .

AMA Style

Wenbo Luo, Youjian Huang, Boyuan Yin, Xia Jiang, Xiaoling Hu. Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature. Polymers. 2020; 12 (4):846.

Chicago/Turabian Style

Wenbo Luo; Youjian Huang; Boyuan Yin; Xia Jiang; Xiaoling Hu. 2020. "Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature." Polymers 12, no. 4: 846.

Journal article
Published: 21 August 2019 in Materials Research Express
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ACS Style

Longfan Peng; Zhida Li; Wenbo Luo; Yunyu Li. Analysis of dynamic viscoelastic properties of chloroprene rubber considering pre-strain effect. Materials Research Express 2019, 6, 105324 .

AMA Style

Longfan Peng, Zhida Li, Wenbo Luo, Yunyu Li. Analysis of dynamic viscoelastic properties of chloroprene rubber considering pre-strain effect. Materials Research Express. 2019; 6 (10):105324.

Chicago/Turabian Style

Longfan Peng; Zhida Li; Wenbo Luo; Yunyu Li. 2019. "Analysis of dynamic viscoelastic properties of chloroprene rubber considering pre-strain effect." Materials Research Express 6, no. 10: 105324.

Journal article
Published: 20 August 2019 in Polymer Testing
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In the tire industry, the Payne effect and hysteresis loss of carbon black (CB) filled rubber under cyclic loading are two kinds of most concerned issues. In this paper, effects of temperature ranging from −30 °C to 50 °C on the Payne effect and hysteresis loss of the CB filled natural rubber are investigated. Experimental results show that the amplitudes of the Payne effect are improved with the decreasing of temperature, especially, at −30 °C, an enhanced Payne effect is observed. The hysteresis loss of the material shows a decreasing tendency with the increasing of temperature. Moreover, the logarithmic storage modulus and loss modulus vs. logarithmic strain amplitude curves at different temperatures can be shifted vertically along the ordinate to get a single smooth one, and the temperature shift factor satisfies the Williams-Landel-Ferry (WLF) equation. This can provide an accelerated method to evaluate the Payne effect at any temperature based on just fewer test data. According to the Kraus model and Payne effect test data, a method to predict the hysteresis loss of the material under different temperatures is developed and validated. The method proposed in the paper can provide an accelerated method to evaluate the Payne effect at arbitrary temperature based on fewer test data, and then accurate estimation of the hysteresis loss of CB filled rubber under cyclic loadings with various temperatures.

ACS Style

Xiaoling Hu; Ruizhi He; Youjian Huang; Boyuan Yin; Wenbo Luo. A method to predict the dynamical behaviors of carbon black filled natural rubber at different temperatures. Polymer Testing 2019, 79, 106067 .

AMA Style

Xiaoling Hu, Ruizhi He, Youjian Huang, Boyuan Yin, Wenbo Luo. A method to predict the dynamical behaviors of carbon black filled natural rubber at different temperatures. Polymer Testing. 2019; 79 ():106067.

Chicago/Turabian Style

Xiaoling Hu; Ruizhi He; Youjian Huang; Boyuan Yin; Wenbo Luo. 2019. "A method to predict the dynamical behaviors of carbon black filled natural rubber at different temperatures." Polymer Testing 79, no. : 106067.

Journal article
Published: 01 May 2019 in Polymers
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The mechanical behaviour of carbon-black (CB)-filled rubber is temperature-dependent. It is assumed that temperature affects the fatigue life of rubber products by changing the tear energy of the material. The static tearing behaviour and fatigue crack propagation behavior of CB-filled rubber at different temperatures were investigated in this study. The critical tear energy of the material was measured through static tear fracture tests at different temperatures; it is shown that the critical tear energy decreases exponentially with increasing temperature. A fatigue crack growth test of a constrained precracked planar tension specimen was conducted at room temperature; the measurements verify that the fatigue crack growth follows a Paris–Erdogan power law. Considering the temperature dependence of the critical tear energy, the temperature dependent fatigue crack growth kinetics of CB-filled rubber was established, and the fatigue life of the material at high temperatures was predicted based on the kinetics. The predictions are in good agreement with experimental measurements.

ACS Style

Wenbo Luo; Ming Li; Youjian Huang; Boyuan Yin; Xiaoling Hu. Effect of Temperature on the Tear Fracture and Fatigue Life of Carbon-Black-Filled Rubber. Polymers 2019, 11, 768 .

AMA Style

Wenbo Luo, Ming Li, Youjian Huang, Boyuan Yin, Xiaoling Hu. Effect of Temperature on the Tear Fracture and Fatigue Life of Carbon-Black-Filled Rubber. Polymers. 2019; 11 (5):768.

Chicago/Turabian Style

Wenbo Luo; Ming Li; Youjian Huang; Boyuan Yin; Xiaoling Hu. 2019. "Effect of Temperature on the Tear Fracture and Fatigue Life of Carbon-Black-Filled Rubber." Polymers 11, no. 5: 768.

Article
Published: 01 September 2018 in Strength of Materials
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The fatigue damage characteristics of an asphalt mixture were analyzed, a new fatigue damage model was constructed based on the Schapery pseudovariable theory and continuum damage mechanics. According to the Schapery theory and the generalized elastic-viscoelastic correspondence principle, the experimental stress–strain curves of the asphalt mixture are transformed into the stress vs. pseudostrain curves. The relation between stress and pseudostrain is shown to be linear, which eliminates the viscoelastic hysteresis effect of the asphalt mixture and its time dependence. Pseudostiffness decreases gradually with the number of fatigue cycles. The damage variable is defined by the change in pseudostiffness. The parameters of the fatigue damage model are verified by fatigue tests up to 1000 cycles, and the fatigue damage for 2000 cycles is predicted and compared with the test results, which are in good agreement between themselves.

ACS Style

X. R. Wang; B. Y. Yin; W. B. Luo. Fatigue Damage Analysis of an Asphalt Mixture Based on Pseudostiffness. Strength of Materials 2018, 50, 764 -771.

AMA Style

X. R. Wang, B. Y. Yin, W. B. Luo. Fatigue Damage Analysis of an Asphalt Mixture Based on Pseudostiffness. Strength of Materials. 2018; 50 (5):764-771.

Chicago/Turabian Style

X. R. Wang; B. Y. Yin; W. B. Luo. 2018. "Fatigue Damage Analysis of an Asphalt Mixture Based on Pseudostiffness." Strength of Materials 50, no. 5: 764-771.

Article
Published: 01 September 2018 in Strength of Materials
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Polyethylene pipes are widely used in water supply, gas, and sewage systems due to their excellent mechanical properties. A slow crack growth is the primary fracture mechanism for the pipes under long-term internal pressures. If the creep loading is treated as a special case of fatigue loading, the slow crack growth kinetics of polyethylene is defined in fatigue fracture tests at different stress ratios and extrapolated to creep crack kinetics. Linear elastic fracture mechanics concepts became the basis for predicting the creep lifetime of pressure-tight pipes subjected to various hoop stresses from extrapolated (synthetic) creep crack growth curves, and the prediction is in good agreement with the standard extrapolation in accordance with ISO 9080.

ACS Style

W. B. Luo; Y. P. Liu; B. Y. Yin; Y. Li; X. Liu. Creep Lifetime Assessment of Pressure-Tight Pe100 Pipes Based on a Slow Fatigue Crack Growth. Strength of Materials 2018, 50, 781 -787.

AMA Style

W. B. Luo, Y. P. Liu, B. Y. Yin, Y. Li, X. Liu. Creep Lifetime Assessment of Pressure-Tight Pe100 Pipes Based on a Slow Fatigue Crack Growth. Strength of Materials. 2018; 50 (5):781-787.

Chicago/Turabian Style

W. B. Luo; Y. P. Liu; B. Y. Yin; Y. Li; X. Liu. 2018. "Creep Lifetime Assessment of Pressure-Tight Pe100 Pipes Based on a Slow Fatigue Crack Growth." Strength of Materials 50, no. 5: 781-787.

Journal article
Published: 21 May 2018 in Polymer Testing
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Rubber is a typical viscoelastic polymer and has a low thermal conductivity. The main consequence is heat generation and leads to a temperature rise called heat build-up of the rubber material when subjected to cyclic deformation. Cylindrical carbon black (CB) filled rubber specimens were sinusoidally compressed with a Gabo Eplexor 500N dynamic mechanical analyzer, under various frequencies (10, 30, 50, 70 and 90 Hz) and dynamic strain amplitudes (1%, 2%, 3%, 4% and 5%). A ThermaCAM SC3000 infrared camera was used to capture the surface temperatures of the specimens. To predict the influence of two main influent factors (loading strain amplitude and frequency) on the heat build-up (HBU), relations of the dynamic properties with the strain and frequency were constructed based on the Kraus and General Maxwell model, respectively. And effect of rising temperature on the loss modulus was investigated. Combine with the heat equation, an analytical method for calculating the HBU was established. The comparison between calculated results and experimental data shows that the proposed analysis method provides a satisfactory way to predict HBU for rubber compounds.

ACS Style

Wenbo Luo; Boyuan Yin; Xiaoling Hu; Zheng Zhou; Yan Deng; Kui Song. Modeling of the heat build-up of carbon black filled rubber. Polymer Testing 2018, 69, 116 -124.

AMA Style

Wenbo Luo, Boyuan Yin, Xiaoling Hu, Zheng Zhou, Yan Deng, Kui Song. Modeling of the heat build-up of carbon black filled rubber. Polymer Testing. 2018; 69 ():116-124.

Chicago/Turabian Style

Wenbo Luo; Boyuan Yin; Xiaoling Hu; Zheng Zhou; Yan Deng; Kui Song. 2018. "Modeling of the heat build-up of carbon black filled rubber." Polymer Testing 69, no. : 116-124.

Review
Published: 01 January 2018 in Open Journal of Civil Engineering
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With the exploitation of resources expanded to deep, the geological environment which is “three tenors one disturbance” of rock mass in great depth has been more complex, resulting in some new engineering geological disasters, such as rock burst, pressure bumping, large deformation of surrounding rock, brittle-ductile transition of rock and zonal disintegration of rock mass, which occur frequently in deep underground engineering rock mass. The impact load caused by collision, explosion, extrusion and outburst is the root cause of the dynamic instability of the deep rock mass. What should be emphasized is that high in-situ stress and blasting excavation disturbance complicate disaster developing mechanism of deep underground engineering rock mass and sharply increase the difficulty of controlling disaster. This paper is aimed at the research status and development trend, of which dynamic characteristics of deep high stress rock mass and its damage and failure effect each other under impact, and conduct analysis, in the later stage where I would discuss how to carry out the response law of the deep high-stress rock mass under the impact load and the mechanism of catastrophe developing, which is of great significance to build a model of instability and fracture evolution about deep rock mass under shock disturbance and to maintain its safety and stability.

ACS Style

Xinfeng Wang; Wenbo Luo; Yipeng Li. A Review of Research on Catastrophic Formation and Evolutionary Mechanism of Deep High Stress Rock Mass under Impact Loading. Open Journal of Civil Engineering 2018, 08, 447 -459.

AMA Style

Xinfeng Wang, Wenbo Luo, Yipeng Li. A Review of Research on Catastrophic Formation and Evolutionary Mechanism of Deep High Stress Rock Mass under Impact Loading. Open Journal of Civil Engineering. 2018; 08 (04):447-459.

Chicago/Turabian Style

Xinfeng Wang; Wenbo Luo; Yipeng Li. 2018. "A Review of Research on Catastrophic Formation and Evolutionary Mechanism of Deep High Stress Rock Mass under Impact Loading." Open Journal of Civil Engineering 08, no. 04: 447-459.

Journal article
Published: 01 August 2017 in Polymer Testing
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ACS Style

Boyuan Yin; Xiaoling Hu; Wenbo Luo; Kui Song. Application of fractional calculus methods to asymmetric dynamical response of CB-Filled rubber. Polymer Testing 2017, 61, 416 -420.

AMA Style

Boyuan Yin, Xiaoling Hu, Wenbo Luo, Kui Song. Application of fractional calculus methods to asymmetric dynamical response of CB-Filled rubber. Polymer Testing. 2017; 61 ():416-420.

Chicago/Turabian Style

Boyuan Yin; Xiaoling Hu; Wenbo Luo; Kui Song. 2017. "Application of fractional calculus methods to asymmetric dynamical response of CB-Filled rubber." Polymer Testing 61, no. : 416-420.

Original articles
Published: 17 February 2016 in Ferroelectrics
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Lead Hafnate-Titanate, Pb(Hf0.3Ti0.7)O3 (PHT), films were fabricated by PLD on Al2O3 (0001) substrates with Pt or SrRuO3 (SRO) bottom electrodes, respectively. There is a certain amount of pyrochlore phase in PHT films on Pt/Al2O3. In contrast, the PHT films on SRO/Al2O3 show pure pervoskite phase. Furthermore, the PHT thin films on SRO/Al2O3, show uniform gain size and significantly enhanced ferroelectric properties with larger remnant polarization (2 Pr = 59.1μC/cm2), better fatigue endurance and lower leakage current density (8.5 × 10−8A/cm2 at 150 kV/cm). With the enhanced properties, PHT ferroelectric film on SRO electrode could be a promising structure which can be applied in FeRAM.

ACS Style

Yali Lin; Jun Zhu; Zhipeng Wu; Wenbo Luo; Yanrong Li. Enhanced Ferroelectric Properties of Pb(Hf 0.3 Ti 0.7 )O 3 Thin Films by SrRuO 3 Bottom Electrode. Ferroelectrics 2016, 492, 143 -149.

AMA Style

Yali Lin, Jun Zhu, Zhipeng Wu, Wenbo Luo, Yanrong Li. Enhanced Ferroelectric Properties of Pb(Hf 0.3 Ti 0.7 )O 3 Thin Films by SrRuO 3 Bottom Electrode. Ferroelectrics. 2016; 492 (1):143-149.

Chicago/Turabian Style

Yali Lin; Jun Zhu; Zhipeng Wu; Wenbo Luo; Yanrong Li. 2016. "Enhanced Ferroelectric Properties of Pb(Hf 0.3 Ti 0.7 )O 3 Thin Films by SrRuO 3 Bottom Electrode." Ferroelectrics 492, no. 1: 143-149.

Journal article
Published: 18 November 2015 in Materials Research Innovations
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Multi-step creep tests and multi-step stress relaxation tests were performed on polyvinylchloride samples. Acoustic emission signals were monitored to assess the damage evolution in the tested samples, and an interesting phenomenon, named here as the ‘acoustic emission hysteresis effect’, was found in both the multi-step creep tests and multi-step stress relaxation tests. The observed acoustic emission behaviour indicates that the damage in polymers is time dependent, and the acoustic emission hysteresis effect is attributed to the viscoelasticity and time-dependent damage in the material. The more marked the viscoelasticity of the material, the greater the acoustic emission hysteresis effect.

ACS Style

X. Liu; B. Yin; W. Luo. Acoustic emission hysteresis effect of polyvinylchloride under multi-step mechanical loads. Materials Research Innovations 2015, 19, S8 -861.

AMA Style

X. Liu, B. Yin, W. Luo. Acoustic emission hysteresis effect of polyvinylchloride under multi-step mechanical loads. Materials Research Innovations. 2015; 19 (sup8):S8-861.

Chicago/Turabian Style

X. Liu; B. Yin; W. Luo. 2015. "Acoustic emission hysteresis effect of polyvinylchloride under multi-step mechanical loads." Materials Research Innovations 19, no. sup8: S8-861.

Journal article
Published: 01 October 2015 in Construction and Building Materials
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ACS Style

Dongdong Gao; Pengbin Wang; Ming Li; Wenbo Luo. Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt. Construction and Building Materials 2015, 95, 329 -336.

AMA Style

Dongdong Gao, Pengbin Wang, Ming Li, Wenbo Luo. Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt. Construction and Building Materials. 2015; 95 ():329-336.

Chicago/Turabian Style

Dongdong Gao; Pengbin Wang; Ming Li; Wenbo Luo. 2015. "Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt." Construction and Building Materials 95, no. : 329-336.

Journal article
Published: 16 September 2015 in Polymers for Advanced Technologies
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The effects of thermal aging on the tensile and tearing fracture properties of carbon-black (CB)-filled natural rubber vulcanizates were tested and analyzed. The specimens were subjected to thermo-oxidative aging at 100°C and 120°C, respectively, for various periods of time ranging from 10 to 168 hr and then mechanically stretched to fracture by tension or tearing with a 5943 Instron single column materials testing system. The elastic modulus, tensile strength, stretch to fracture, and tearing strength of the aged specimens were measured as a function of aged time at each aging temperature. The experimental results demonstrated that the neo-Hookean hyperelastic model is applicable to describe the tensile stress–stretch behavior of CB-filled rubbers when the stretch is small comparing with the extension limit. Moreover, the elastic modulus increases as the aged time increases, while the tensile strength, the stretch to fracture, and the tearing strength decreases with the aged time. Meanwhile, the crosslink density increased in a same trend with the elastic modulus as the elastic modulus is linearly proportional to the crosslink density of the rubber material, no matter what mechanism under which the crosslink density is affected, like CB loading or aged time. The change in mechanical properties of the filled rubbers due to thermal aging is found to be dependent on the aging temperature and the CB loading, and the higher the aging temperature and the CB loading, the more pronounced the change in mechanical properties. Copyright © 2015 John Wiley & Sons, Ltd.

ACS Style

Yan Li; Xiu Liu; Xiaoling Hu; Wenbo Luo. Changes in tensile and tearing fracture properties of carbon-black filled rubber vulcanizates by thermal aging. Polymers for Advanced Technologies 2015, 26, 1331 -1335.

AMA Style

Yan Li, Xiu Liu, Xiaoling Hu, Wenbo Luo. Changes in tensile and tearing fracture properties of carbon-black filled rubber vulcanizates by thermal aging. Polymers for Advanced Technologies. 2015; 26 (11):1331-1335.

Chicago/Turabian Style

Yan Li; Xiu Liu; Xiaoling Hu; Wenbo Luo. 2015. "Changes in tensile and tearing fracture properties of carbon-black filled rubber vulcanizates by thermal aging." Polymers for Advanced Technologies 26, no. 11: 1331-1335.

Research article
Published: 03 December 2013 in Plastics, Rubber and Composites
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The temperature and frequency dependent viscoelasticity of carbon black filled rubber is investigated. Temperature sweep and frequency sweep dynamic mechanical analysis tests are performed to investigate the frequency dependent glass transition temperature and to identify the thermorheological nature of the material. The test results show that master curves of dynamical properties can be constructed by horizontal shifts along the frequency axis alone and cover a frequency range of 21 decades, verifying the material’s thermorheological simplicity. This simplicity is confirmed by van Gurp–Palmen and Cole–Cole plots. Moreover, the temperature dependence of the shift factor is modelled well by both the Williams–Landel–Ferry equation and the Arrhenius equation.

ACS Style

X-L Hu; W-B Luo; X Liu; M Li; Y-J Huang; J-L Bu. Temperature and frequency dependent rheological behaviour of carbon black filled natural rubber. Plastics, Rubber and Composites 2013, 42, 416 -420.

AMA Style

X-L Hu, W-B Luo, X Liu, M Li, Y-J Huang, J-L Bu. Temperature and frequency dependent rheological behaviour of carbon black filled natural rubber. Plastics, Rubber and Composites. 2013; 42 (10):416-420.

Chicago/Turabian Style

X-L Hu; W-B Luo; X Liu; M Li; Y-J Huang; J-L Bu. 2013. "Temperature and frequency dependent rheological behaviour of carbon black filled natural rubber." Plastics, Rubber and Composites 42, no. 10: 416-420.

Journal article
Published: 01 January 2013 in Applied Mechanics and Materials
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Mooney-Rivlin model and Ogden model are frequently used by engineers for finite element analysis of rubber material. Before simulation, simple, biaxial and planar extension tests are always done to get the model parameters. In this paper, we compare these two hyperelastic models with experimental data produced under simple, biaxial extension and planar extension loading conditions. The ability of the two models to reproduce different deformation modes is analyzed. Both material parameters and the stretch range of validity of each model are determined.

ACS Style

Ming Li; Xiao Ling Hu; Wen Bo Luo; You Jian Huang; Ji Ling Bu. Comparison of Two Hyperelastic Models for Carbon Black Filled Rubber. Applied Mechanics and Materials 2013, 275-277, 28 -32.

AMA Style

Ming Li, Xiao Ling Hu, Wen Bo Luo, You Jian Huang, Ji Ling Bu. Comparison of Two Hyperelastic Models for Carbon Black Filled Rubber. Applied Mechanics and Materials. 2013; 275-277 ():28-32.

Chicago/Turabian Style

Ming Li; Xiao Ling Hu; Wen Bo Luo; You Jian Huang; Ji Ling Bu. 2013. "Comparison of Two Hyperelastic Models for Carbon Black Filled Rubber." Applied Mechanics and Materials 275-277, no. : 28-32.

Journal article
Published: 01 December 2012 in Acta Mechanica Solida Sinica
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ACS Style

Wenbo Luo; Chuhong Wang; Xiaoling Hu; Tingqing Yang. Long-term creep assessment of viscoelastic polymer by time-temperature-stress superposition. Acta Mechanica Solida Sinica 2012, 25, 571 -578.

AMA Style

Wenbo Luo, Chuhong Wang, Xiaoling Hu, Tingqing Yang. Long-term creep assessment of viscoelastic polymer by time-temperature-stress superposition. Acta Mechanica Solida Sinica. 2012; 25 (6):571-578.

Chicago/Turabian Style

Wenbo Luo; Chuhong Wang; Xiaoling Hu; Tingqing Yang. 2012. "Long-term creep assessment of viscoelastic polymer by time-temperature-stress superposition." Acta Mechanica Solida Sinica 25, no. 6: 571-578.

Journal article
Published: 01 October 2011 in Chinese Physics B
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ACS Style

Ying-Ying Liu; Jun Zhu; Wen-Bo Luo; Lan-Zhong Hao; Ying Zhang; Yan-Rong Li. Effect of thickness on the microstructure of GaN films on Al 2 O 3 (0001) by laser molecular beam epitaxy. Chinese Physics B 2011, 20, 1 .

AMA Style

Ying-Ying Liu, Jun Zhu, Wen-Bo Luo, Lan-Zhong Hao, Ying Zhang, Yan-Rong Li. Effect of thickness on the microstructure of GaN films on Al 2 O 3 (0001) by laser molecular beam epitaxy. Chinese Physics B. 2011; 20 (10):1.

Chicago/Turabian Style

Ying-Ying Liu; Jun Zhu; Wen-Bo Luo; Lan-Zhong Hao; Ying Zhang; Yan-Rong Li. 2011. "Effect of thickness on the microstructure of GaN films on Al 2 O 3 (0001) by laser molecular beam epitaxy." Chinese Physics B 20, no. 10: 1.

Journal article
Published: 01 October 2011 in Advanced Materials Research
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A new 3D unit cell model is developed for homogenization calculation of composites containing randomly dispersed ellipsoid inclusions. The new unit cell is constructed using the Ansys Parameter Design Language (APDL), taking the inclusion volume fraction, inclusion orientation and spatial dispersion as variables. A series of unit cells containing multiple ellipsoids, showing random distributions in particle size and position, were constructed and used for finite element calculation at microscale, the effective modulus of the composites with periodic microstructures, which modeled by the unite cells, were then estimated by homogenization. The influences of particle volume fraction and the particle stiffness on the effective elastic modulus of the composites were examined. The estimated results were compared with different particle volume fractions were calculated, and the calculated data was compared with other classic models.

ACS Style

Yong Ouyang; Xiao Ling Hu; Xiu Liu; Wen Bo Luo. A New 3-D Unit Cell Model Used in Homogenization Estimation of Effective Properties of Particle-Filled Composites. Advanced Materials Research 2011, 374-377, 1269 -1273.

AMA Style

Yong Ouyang, Xiao Ling Hu, Xiu Liu, Wen Bo Luo. A New 3-D Unit Cell Model Used in Homogenization Estimation of Effective Properties of Particle-Filled Composites. Advanced Materials Research. 2011; 374-377 ():1269-1273.

Chicago/Turabian Style

Yong Ouyang; Xiao Ling Hu; Xiu Liu; Wen Bo Luo. 2011. "A New 3-D Unit Cell Model Used in Homogenization Estimation of Effective Properties of Particle-Filled Composites." Advanced Materials Research 374-377, no. : 1269-1273.