Asymptotic modelling of interfaces taking contact conditions into account: asymptotic expansions and numerical implementation

Abstract : In the present theoretical and numerical study on thin layers, a method is presented for modelling bonding processes and interfaces. When the thickness and the rigidity of the layer tend to zero, the asymptotic problem leads to a limit problem with a mechanical constraint on the surface, to which the layer shrinks. The formulation of the limit problem includes the mechanical and geometrical properties of the layer. The contact and pseudo-friction conditions between the adhesive and the adherents are also taken into account. Theoretical results are obtained using asymptotic expansions and numerical data. The asymptotic laws are implemented in a finite element software. Numerical algorithms are detailed and numerical examples are presented.
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International Journal of Engineering Science, Elsevier, 2010, 48 (2), pp.111-127. 〈10.1016/j.ijengsci.2009.07.005〉
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https://hal.archives-ouvertes.fr/hal-00459511
Contributeur : Frédéric Lebon <>
Soumis le : mercredi 24 février 2010 - 11:11:43
Dernière modification le : vendredi 9 juin 2017 - 10:42:48

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Frédéric Lebon, Fouad Zaittouni. Asymptotic modelling of interfaces taking contact conditions into account: asymptotic expansions and numerical implementation. International Journal of Engineering Science, Elsevier, 2010, 48 (2), pp.111-127. 〈10.1016/j.ijengsci.2009.07.005〉. 〈hal-00459511〉

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