Elastic-Plastic Model of Adhesive-Bonded Single-Lap Composite Joints

Abstract

An analytical model for determining adhesive stress distributions within the adhesive-bonded single-lap composite joints was developed. ASTM D3165 ‘‘Strength Properties of Adhesives in Shear by Tension Loading of Single-Lap-Joint Laminated Assemblies’’ test specimen geometry was followed in the model derivation. In the model derivation, the composite adherends were assumed linear elastic while the adhesive was assumed elastic-perfectly plastic following von Mises yield criterion. Laminated Anisotropic Plate Theory was applied in the derivation of the governing equations of the bonded laminates. The adhesive was assumed to be very thin and the adhesive stresses are assumed constant through the bondline thickness. The entire coupled system of equations was determined through the kinematics relations and force equilibrium of the adhesive and the adherends. The overall system of governing equations was solved analytically with appropriate boundary conditions. Computer software Maple V was used as the solution tool. The developed stress model was verified with finite element analysis using ABAQUS by comparing the adhesive stress distributions.

Strain-Energy Release Rate Analysis of Adhesive-Bonded Composite Joints with Prescribed Interlaminar Crack

“…Yang and Pang [44] derived an analytical model that provided the stress distributions of adhesive-bonded singlelap composite joints subjected to axial tension. Huang et al [45] and Yang et al [46] also derived an elastic-plastic model for adhesive-bonded single-lap composite joints. Important capabilities included in their approaches were the asymmetry of the adherend laminates as well as the effects due to transverse shear deformation.…”

“…Adhesive and cohesive failure analyses and also fracture mechanics of lap joints have been vastly investigated [38][39][40][41][42][43][44][45][46][47][48][49]. Nevertheless, out-of plane failure analyses of adhesive-bonded joints have not been inquired sufficiently.…”

“…Yang and Guan [46] developed finite element models to estimate the J-integral of adhesive bonded single lap joint using ABAQUS [57] …”

Analytical and Numerical Results for an Adhesively Bonded Joint Subjected to Pure Bending

“…The joint configuration in Figure 3 was originally evaluated by Yang 3 and used by the first author to verify the ABJO code in Reference 1. The adherends are modeled as orthotropic materials and are defined using average laminate properties, while the adhesive layer is modeled as a linear-elastic, isotropic material.…”

“…Yang et al 3 formulated a method using classical laminated plate theory with first-order shear deformation to analyze symmetric and asymmetric single-lap joints subjected to tensile and bending loading. Mortensen and Thomsen 4 developed a general, two-dimensional analysis methodology that modeled the adherends as generally orthotropic laminates using classical laminate theory and the adhesive as both linearly elastic and inelastic.…”