Theoretical Analysis of Stress Distribution in Bonded Single Strap and Stiffened Joints

Abstract

In this paper, distribution of peeling stress in two types of adhesively-bonded joints is investigated. The joints are a single strap and a stiffened joint. Theses joints are under uniform tensile load and materials are assumed orthotropic. Layers can be identical or different in mechanical or geometrical properties. A twodimensional elasticity theory that includes the complete stressstrain and the complete strain-displacement relations for adhesive and adherends is used in this analysis. The displacement is assumed to be linear in the adhesive layer. A set of differential equations was derived and solved by using appropriate boundary conditions. Results revealed that the peak peeling stress developed within the adhesive layer is a function of geometrical and mechanical properties. FEM solution is used as the second method to verify the analytical results. A good agreement is observed between analytical and FEM solutions.

Preliminary Experimental and Numerical Study of Metal Element with Notches Reinforced by Composite Materials

“…Such stress concentrations are around the hole and at the ends of the adhesive joints. The value of the stress concentrations at the end of the bounded joint often achieves high values [40,41,45,51]. This value depends on the stiffness of the adherents, the adhesive shear modulus and thickness, and the geometry of the joint (overlap width and length).…”

“…Based on the above theories, different 2D and 3D models are proposed. Interesting from the point of view of this work is the theoretical solution for single-bonded stiffened joints proposed by Ghoddous [41]. The results obtained for a single stiffened joint (from theoretical and numerical calculations) signalize significant stress concentrations at the ends of the adhesive joints.…”

“…In recent years the connection of different materials has become more and more popular due to the development, in particular, of composite materials and bonding techniques. The number of such solutions has increased drastically in many industries, particularly in the automotive or aviation industry and others and is reflected by the growing year-to-year number of papers [30][31][32][33][34][35][36][37][38][39][40][41].…”

“…More information about such theoretical formulations can be found in Refs. [41,44,45]. There are also methods for analyzing materials at the macro-, meso-, and micro-levels [48,49].…”

“…Due to the differences in deformations, the highest shear stresses in the adhesive occur at both ends and are minimal at the center of the adhesive joint. It should be noted that stress concentrations of the shear stresses in the adhesive layer may achieve high values (typically 1-4, but in some cases even above 10) [40,41,45,51]. Because of this, the failure typically initiates at both ends of the adhesive joint [40,52].…”