A common approach to the modeling of very thin adhesive films is their replacement with an equivalent contact law, prescribing the jumps in the displacement and traction vector fields at the limit interface as the film thickness goes to zero. From the geometrical point of view, the adhesive film is eliminated, although it is accounted for mechanically. Recently, several cases to obtain the equivalent contact laws were analysed: soft films [17, 18]; adhesive films governed by a non convex energy [12]; linearly elastic adhesive films having stiffness comparable with the adherents [19, 13]; imperfect adhesion between flat adhesive films and the adherents [14]; joints with mismatch strain between the adhesive and the adherents [16]. In this paper, the results obtained in [13, 14] are extended to the case of a thin curvilinear elastic anisotropic adhesive undergoing plane deformations. The asymptotic method proposed in [14] and based on the energy minimization is used. After obtaining the contact law in a general system of curvilinear coordinates, the gluing between two circular adherents is analysed, a case of significant importance for composite materials which often contain fibres or particles.
An Asymptotic Approach to Thin Film Adhesion
RIZZONI, Raffaella
2012
Abstract
A common approach to the modeling of very thin adhesive films is their replacement with an equivalent contact law, prescribing the jumps in the displacement and traction vector fields at the limit interface as the film thickness goes to zero. From the geometrical point of view, the adhesive film is eliminated, although it is accounted for mechanically. Recently, several cases to obtain the equivalent contact laws were analysed: soft films [17, 18]; adhesive films governed by a non convex energy [12]; linearly elastic adhesive films having stiffness comparable with the adherents [19, 13]; imperfect adhesion between flat adhesive films and the adherents [14]; joints with mismatch strain between the adhesive and the adherents [16]. In this paper, the results obtained in [13, 14] are extended to the case of a thin curvilinear elastic anisotropic adhesive undergoing plane deformations. The asymptotic method proposed in [14] and based on the energy minimization is used. After obtaining the contact law in a general system of curvilinear coordinates, the gluing between two circular adherents is analysed, a case of significant importance for composite materials which often contain fibres or particles.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
