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Development of 3D Finite Element Code of Incompatible Displacement Mode for Flexural Analysis

  • Research Article - Civil Engineering
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Abstract

For three-dimensional finite element modeling, it is necessary to use a solid element taking into account the flexural response and also should be simple for computer storage. One of the elements that can attain the previous requirements is the incompatible (non-conforming) element. In this paper, formulation and algorithm of the developed 3D finite element code of incompatible displacement mode for flexural analysis are presented using 3D 8-noded isoparametric incompatible brick element. Several comparisons and a parametric study have been carried out to verify the incompatible brick element and the developed code. Accurate results have been obtained by the 3D incompatible element in flexural analysis of beams in comparison with the standard element.

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References

  1. Cook, R.D.; Malkus, D.S.; Plesha, M.E.: Concepts and Applications of Finite Element Analysis. Wiley, New York (2002)

    Google Scholar 

  2. Cook, R.D.: Finite Element Modeling For Stress Analysis. Wiley, New York (1995)

    MATH  Google Scholar 

  3. Beyabanaki, S.A.R.; Jafari, A.; Biabanaki, S.O.R.; Yeung, M.R.: A coupling model Of 3-D discontinuous deformation analysis (3-D DDA) and finite element method. Arab. J. Sci. Eng. 34(1B), 107–119 (2009)

    Google Scholar 

  4. Taylor, R.L.; Beresford, R.J.; Wilson, E.l.: A non-conforming element for stress analysis. Int. J. Numer. Method Eng. 10, 1211–1219 (1976)

    Article  MATH  Google Scholar 

  5. Wilson, E.L.; Taylor, R.L.; Doherty, W.P.; Ghaboussi, J.: Incompatible displacement models. In: Fenves et al. (eds.) Numerical and Computer Method in Structural Mechanics, pp. 43–57. Academic Press, London (1973)

  6. Wilson, E.L.; Ibrahimbegovic, A.: Use of incompatible displacement modes for the calculation of element stiffnesses or stresses. Finite Elem. Anal. Des. 7, 229–241 (1990)

    Article  Google Scholar 

  7. Krishnamoorthy, C.S.: Finite Element Analysis, Theory and Programming, 2nd ed. Tata McGraw Hill Comp. Ltd., New Delhi (2001)

  8. Hinton, E.; Owen, D.R.J.: Finite Element Programming. Academic Press, London (1983)

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Engineering, Sana’a University, P.O. Box. 12544, Sana’a, Yemen

    Ahmed Hasan Alwathaf

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  1. Ahmed Hasan Alwathaf
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Correspondence to Ahmed Hasan Alwathaf.

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Alwathaf, A.H. Development of 3D Finite Element Code of Incompatible Displacement Mode for Flexural Analysis. Arab J Sci Eng 39, 6009–6016 (2014). https://doi.org/10.1007/s13369-014-1232-2

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  • DOI: https://doi.org/10.1007/s13369-014-1232-2

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