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Modelization of Coherent Interfaces by Mixed Finite Elements

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Computer Aided Design in Composite Material Technology III

Abstract

An accurate modelization of a coherent interface between two different domains requires the simultaneous satisfaction of the displacement continuity and of the equilibrium along this common boundary. A variational approach is used in this paper, derived from Reissner’s principle. Two triangular interface mixed finite elements with either linear or quadratic interpolations for both displacements and stresses are proposed for the analysis of plane elasticity problems. Displacements are continuous and the equilibrium along the boundaries is satisfied in an average sense. Examples of a homogeneous beam and of adhesive joints are presented.

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References

  1. Mirza, F.A. and Olson, M.O. The mixed finite element method in plane elasticity, International journal for numerical methods in engineering, VoL 15, pp. 273–289, 1980.

    Article  Google Scholar 

  2. Verchery, G. Méthodes numeriques de calcul des champs de contraintes dans les matériaux hétérogènes, Vol. 1, Calcul des structures et intelligence artificielle, (Ed. Fouet, I.M. and Ladeveze, P.), pp. 7–21, Pluralis, Paris, 1987.

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  3. Aivazzadeh, S. and Verchery, G. Stress analysis at the interface in adhesive joint by special finite element, International journal of adhesion and adhesive, Vo1. 6, N°4, pp. 185–188, 1986.

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  4. Sarhan-Bajbouj, A. Eléments finis d’interfaces pour le calcul des structures hétérogenes, Thèse de doctorat de l'Université Claude Bernard Lyon 1, 18 décembre 1990.

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  5. Bichara, M., Sarhan-Bajbouj, A. and Verchery, G. Mixed plate finite elements with application to adhesive joint analysis, in Euromech 227 (Ed. Verchery, G. and Cardon, A.H.), pp. 571–578, Proceedings of the European mechanics colloquium 227 on adhesive joints, Saint-Etienne, France, 1987, Pluralis, Paris, 1987.

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  6. Zidani, F., Aivazzadeh, S. and Verchery, G. Logiciel d’aide au dimensionnement des joints collés par éléments finis d’interface, in Adehecom 89, pp. 321–327, Proceedings of the Deuxième congrès international sur l’adhèsion et les adhèsifs, Bordeaux, France, 1989.

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© 1992 Computational Mechanics Publications

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Sarhan-Bajbouj, A., Courtade, R.M., Verchery, G. (1992). Modelization of Coherent Interfaces by Mixed Finite Elements. In: Advani, S.G., Blain, W.R., de Wilde, W.P., Gillespie, J.W., Griffin, O.H. (eds) Computer Aided Design in Composite Material Technology III. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2874-2_29

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  • DOI: https://doi.org/10.1007/978-94-011-2874-2_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-781-9

  • Online ISBN: 978-94-011-2874-2

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