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Journal Articles Mechanics Research Communications Year : 2013

Imperfect interfaces as asymptotic models of thin curved elastic adhesive interphases

Raffaella Rizzoni
Frédéric Lebon

Abstract

We obtain a limit model for a thin curved anisotropic interphase adherent to two elastic media. Our method is based on asymptotic expansions and energy minimization procedures. The model of perfect interface is obtained at the first order, while an imperfect interface model is obtained at the next order. The conditions of imperfect contact, given in a parallel orthogonal curvilinear coordinate system, involve the interphase material properties, the first order displacement and traction vectors, and their derivatives. An example of implementation of the imperfect interface condition is given for a composite sphere assemblage.
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Dates and versions

hal-00833562 , version 1 (20-05-2018)

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Raffaella Rizzoni, Frédéric Lebon. Imperfect interfaces as asymptotic models of thin curved elastic adhesive interphases. Mechanics Research Communications, 2013, 51, pp.39- 50. ⟨10.1016/j.mechrescom.2013.04.008⟩. ⟨hal-00833562⟩
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