Asymptotic behavior of a hard thin linear elastic interphase: an energy approach

Frédéric Lebon (1) , Raffaella Rizzoni (2)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 Dipartimento di Ingegneria

The mechanical problem of two elastic bodies separated by a thin elastic film is studied here. The stiffness of the three bodies is assumed to be similar. The asymptotic behavior of the film as its thickness tends to zero is studied using a method based on asymptotic expansions and energy minimization. Several cases of interphase material symmetry are studied (from isotropy to triclinic symmetry). In each case, non-local relations are obtained relating the jumps in the displacements and stress vector fields at order one to these fields at order zero.

Mots clés: Thin film; Asymptotic analysis; Energy minimization; Contact law; Anisotropic material

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Frédéric Lebon, Raffaella Rizzoni. Asymptotic behavior of a hard thin linear elastic interphase: an energy approach. International Journal of Solids and Structures, 2011, 48 (3-4), pp.441-449. ⟨10.1016/j.ijsolstr.2010.10.006⟩. ⟨hal-00589975⟩