An Analytical Study on Peeling of an Adhesively Bonded Joint Based on the Timoshenko Beam Theory

作者：Su Y Y; Gao X L^*

来源：Mechanics of Advanced Materials and Structures, 2013, 20(6): 454-463.

DOI：10.1080/15376494.2011.646055

• peel test
• Timoshenko beam theory
• adhesive joints
• cohesive zone model

Peeling of a thin film adhesively bonded to a rigid substrate is analytically studied using the Timoshenko beam theory and a trapezoidal cohesive zone model. The film (adherend) is modeled as a Timoshenko beam on an elastic foundation, and the interaction between the adhesive and the adherend is described by a trapezoidal cohesive zone model. Three cases are considered: (1) the normal stress acting alone (mode I loading), (2) only the shear stress present (mode II loading), and (3) the normal and shear stresses co-existing (mixed mode loading) on the adhesive-adherend interface. The governing equations are derived in terms of the displacements and rotation angle of the adherend centerline in each case, which are subsequently solved to obtain closed-form solutions. These governing equations reduce to those provided in an existing model based on the Bernoulli-Euler beam theory when the normality assumption is reinstated. By applying the newly derived solutions directly, sample cases are analyzed to show the trends of the displacements and rotation angle for selected geometrical and loading conditions. The numerical results are also compared with those predicted by the existing model.

• 出版日期2013-6-1