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Analysis of Stress Relaxation Characteristics of Rubber Sealing Gaskets Under the Influence of Random Parameters

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Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Aims and scope Submit manuscript

Abstract

The Mooney–Rivlin hyperelastic model and Prony series viscoelastic constitutive model are used to verify the selected calculation parameters by finite element analysis compared with stress relaxation test data. Then, the ANSYS-PDS (ANSYS-probabilistic design system) module is used to analyze the sensitivity values of all random parameters to surface contact stress and the influence of hyperelastic and viscoelastic parameters on the surface contact stress relaxation. The results show that parameter values are reasonable. Random parameters that have great influence on the surface contact stress are α2 and C10, followed by α1, τ1 and C01, and the influence of τ2 is negligible, which shows that for the second-order viscoelastic model, the change in clay pot coefficient η2 has little effect on the surface contact stress. Moreover, with the increase in C10, the surface contact stress increases significantly; with the increase in α2, the surface contact stress decreases significantly, and the surface contact stress varies uniformly with C01. Stress relaxation mainly occurred on the first day of loading and remained basically stable within 1 year. The greater the values of hyperelastic parameters are, the smaller the stress attenuation is, and the opposite of viscoelastic parameters.

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References

  • Arruda EM, Boyce MC (1993) A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J Mech Phys Solids 41(2):389–412

    Article  Google Scholar 

  • Bergström JS, Boyce MC (2000) Large strain time-dependent behavior of filled elastomers. Mech Mater 32(11):627–644

    Article  Google Scholar 

  • Bergström JS, Boyce MC (2001) Constitutive modeling of the time-dependent and cyclic loading of elastomers and application to soft biological tissues. Mech Mater 33(9):523–530

    Article  Google Scholar 

  • Feng XJ, Wei YT, Li ZC, Kaliske M (2016) Research on nonlinear viscoelastic constitutive model for uncured rubber. Eng Mech 33(7):212–219

    Google Scholar 

  • Gent AN (2012) Engineering with rubber: how to design rubber components. Carl Hanser Verlag GambH Co KG, Munich

    Book  Google Scholar 

  • Johnson AR, Quigley CJ (1992) A viscohyperelastic Maxwell model for rubber viscoelasticity. Rubber Chem Technol 65(1):137–153

    Article  Google Scholar 

  • Johnson AR, Quigley CJ, Freese CE (1995) A viscohyperelastic finite element model for rubber. Comput Methods Appl Mech Eng 127(1–4):163–180

    Article  Google Scholar 

  • Lei ZY (2010) An optimal design approach for the rubber sealing gasket in shield tunneling. Chin J Undergr Sp Eng 6(4):770–774

    Google Scholar 

  • Lei ZY, Liu M (2017a) Sensitivity analysis of water-proof performance of elastic rubber gasket in shield tunnel. J Tongji Univ Nat Sci 45(3):336–341

    Google Scholar 

  • Lei ZY, Liu M (2017b) Waterproofness optimization for elastic rubber gaskets in shield tunnels with random parameters. Appl Math Mech 38(8):899–910

    Google Scholar 

  • Lion A (1996) A constructive model for carbon black filled rubber: experimental investigations and mathematical representation. Continuum Mech Thermodyn 8:153–169

    Article  Google Scholar 

  • Lion A (1998) Thixotropic behavior of rubber under dynamic loading histories: experiments and theory. J Mech Phys Solids 46(5):895–930

    Article  Google Scholar 

  • Liu LH, Xiong W, Zhang HZ, Zhang QJ (2007) Study on viscoelasticity calculation method of hyperelastic and incompressible water-stop material. Acta Mech Solida Sin 28(1):83–86

    Google Scholar 

  • Liu XD, Zhang YL, Guo WJ (2010) Finite element simulation of vibration test of silicon rubber absorbers. Noise Vib Control 30(5):173–176

    Google Scholar 

  • Miehe C, Keck J (2000) Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modeling and algorithmic implementation. J Mech Phys Solids 48(2):323–365

    Article  Google Scholar 

  • Ming JT (2016) The research of viscoelastic constitutive model for rubber material and its application in tread block of tires. Jilin University, Changchun

    Google Scholar 

  • Stögbauer H, Wolf AT (1991) The influence of heat ageing on one-part construction silicone sealants. Constr Build Mater 5(1):27–32

    Article  Google Scholar 

  • Wang T (2017) Infrared small target detection based on spearman rank correlation coefficient. Sci Technol Eng 17(2):234–238

    Google Scholar 

  • Wu ZZ, Yang LD, Ji QQ, Dai S, Mo YT (2009) Experimental study on stress relaxation of waterproof gasket of river-crossing shield tunnel. J Build Mater 12(5):539–543

    Google Scholar 

  • Yang LM, Shim VPW, Lim CT (2000) A visco-hyperelastic approach to modelling the constitutive behaviour of rubber. Int J Impact Eng 24(6–7):545–560

    Article  Google Scholar 

  • Yu HF, Li FZ, Yang HB, Zhang LQ (2017) A nonlinear hyper-viscoelastic constitutive model for rubber material with finite strain. Rubber Ind 64(11):645–649

    Google Scholar 

Download references

Acknowledgements

The paper was done within the Project No. 11772230 financed by the National Natural Science Foundation of China.

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  1. Institute of Rail Transit, Tongji University, Shanghai, 201804, China

    Zhenyu Lei & Zhiqiang Wang

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  1. Zhenyu Lei
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  2. Zhiqiang Wang
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Correspondence to Zhiqiang Wang.

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Lei, Z., Wang, Z. Analysis of Stress Relaxation Characteristics of Rubber Sealing Gaskets Under the Influence of Random Parameters. Iran J Sci Technol Trans Mech Eng 45, 711–718 (2021). https://doi.org/10.1007/s40997-020-00353-w

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  • DOI: https://doi.org/10.1007/s40997-020-00353-w

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