FEM Formulation to Solve Hyperelastic Problem up to Large Strain

  • Authors

    • Sushant Verma
    • Anwer Ahmed
    • Vipul Kumar Sharma
    • Anuj Gupta
    2018-12-13
    https://doi.org/10.14419/ijet.v7i4.39.24356
  • Finite Element, Large Deformation, Hyperelastic Program.

  • Abstract

    In this paper finite element method has been practiced for solving the hyperselastic problem upto large strain. Truss problem has been solved by using the finite element formulation. The aim of the paper is to discussed the algorithm used to solve the complex problem. For that FLagSHyp code (Finite Element Large Strain Hyperelastic Problem written by Javier bonet and Richard D .wood) algorithm has been discussed to understand the behaviour of hyperelastic material subjected to large strain. The result obtained is compared by the result obtained from abaqus software. Three models i.e. Odgen model, Incompressible neo-hookean model and Mooney-Rivlin model have been applied for the truss problem.

     

     

  • References

    1. [1] J.N. Reddy, (2008), An Introduction to Continuum Mechanics, first-edition, Cambridge university press, New York.

      [2] Klaus Hackl, Mehdi Goodarzi, (2010), An Introduction to linear Continuum Mechanics, lecture notes, Ruhr University Press, Bochum (Germany).

      [3] Javier Bonet, Richard D. Wood, (1997), Non-Linear Continuum Mechanics for Finite Element Analysis, Cambridge University Press, New York.

      [4] Morton E. Gurtin, (1982),An Introduction to Continuum Mechanics, volume 158 first- Edition, Academic Press Inc, London.

      [5] J. Tinsley Oden, (2006),Finite Element of Non-Linear Continua, Dover Publication Inc, New York.

      [6] MeralBayraktar, (2007),Hyperelastic Material Models of Rubber and Rubber-like Materials, 11 International Research/Expert Conference “Trends in the development of Machinery & Associated Technologyâ€, Hammamet, Tunisia.

      [7] E Boudaia, L.Bousshine, (2012),Modeling of Large Deformations of Hyperelastic Materials, International Journal of Material Science, Vol. 2, Iss. 4.

      [8] Dr. Mushin N. Hamza, Dr. Hassan M.Alwan, (2010),Hyperelastic Constitutive Modeling of Rubber and Rubber like Materials under Finite Strain, Eng. & Tech. Journal, Vol. 28, No. 13.

      [9] Klaus-Jurgen Bathe, Edward L. Wilson, (1975),Finite Element Formulations for Large Strain Deformation Dynamic Analysis, International Journal for Numerical Method in Engineering, Vol. 9, 353-386.

      [10] David S. Malkus, E.R. Foller.Jr, (1981), An Isoparametric Finite Element Model for Large-Strain Elastostatics, Journal of Research of the National Bereau of Standards, Vol. 86, No. 1.

      [11] B. B Sahari, M. Hosseini, Aidy Ali, (2010), A review of constitutive models for rubber like material, American journal of Engineering and Applied Sciences 3(1), 232-239.

      [12] Rubber Industry Report, (2014), http://www.rubberworld.com/RWmarket_report.asp?id=333.

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  • How to Cite

    Verma, S., Ahmed, A., Kumar Sharma, V., & Gupta, A. (2018). FEM Formulation to Solve Hyperelastic Problem up to Large Strain. International Journal of Engineering & Technology, 7(4.39), 471-474. https://doi.org/10.14419/ijet.v7i4.39.24356

    Received date: 2018-12-19

    Accepted date: 2018-12-19

    Published date: 2018-12-13