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Article Dans Une Revue International Journal of Engineering Science Année : 2010

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

Résumé

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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Dates et versions

hal-00459511 , version 1 (23-06-2018)

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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, 2010, 48 (2), pp.111-127. ⟨10.1016/j.ijengsci.2009.07.005⟩. ⟨hal-00459511⟩
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