Stress Distribution and Design Data for Adhesive Lap Joints Between Circular Tubes

Abstract

This paper presents stress distributions for 48 adhesive lap joints between thin circular tubes loaded in tension. The adhesive is treated as a thin elastic layer, much more flexible than the adherends, so that the analysis applies primarily to the bonding of metals and plastics. Ordinary thin-shell theory is used for the adherends. The basic theory and the calculated adhesive shear and normal stresses are given, and the significant principal stresses are discussed. The influence of the various system parameters, notably the tube curvature, is considered in some detail, and a comparison is made with previous flat lap-joint results. The applicability of the theory in joint design also is treated.

Strength Analysis of Structurally Optimized Aluminium-Composite Tubular Lap Joints

“…In case of a structural lap joint, only elastic deformation of the adhesive is permissible, therefore the model by Hart-Smith is omitted. The model by Nemeş et al assumes the shear stresses at the ends of the lap joint vanish, differing from the stress distributions presented by Adams and Peppiatt (1977), Lubkin andReissner (1956), Schürmann (2007) and Habenicht (2009). The model predicts a parabolic stress distribution for short joining lengths with the maximum located in the middle of the joint (Nemeş et al, 2006).…”

Adhesive stresses in axially-loaded tubular bonded joints – Part I: Critical review and finite element assessment of published models

“…The study presented by Lubkin and Reissner [1] extends, to the axisymmetric case, the typical approach used for the flat single lap joint [2] with the following assumptions:…”

“…Focusing the attention on the condition of axial loading, the starting point is the pioneering work by Lubkin and Reissner [1], who treated the tubular joint under the same main assumptions as used for the flat lap joints [2]. In Lubkin and Reissner's model, the adherends are subjected to tension, shear and bending, while the adhesive transmits shear and peel stresses (the remaining components being disregarded) that are a function of the axial coordinate only.…”

“…Finite element (FE) results on a range of joint configurations are used as numerical benchmark, extending the analyses presented in [10]. The need for an analytical, closed-form solution is also highlighted, and the related difficulties, not explicitly overcome [1], are discussed.…”

“…This paper reviews the underlying assumptions and assesses the accuracy of five published theoretical models for the adhesive stresses produced by axial loading of the tubular joint. The models scrutinized are those by Lubkin and Reissner (1956), Shi and Cheng (1993), Nayeb-Hashemi et al (1997), Pugno and Carpinteri (2003) and Nemeş et al (2006). Comparison of the model results with the outcome of ad-hoc finite element analyses on five joint configurations shows that: 1) all models predict correctly the shear stresses; 2) only Lubkin and Reissner's model gives correct peel stress distributions; 3) the axial and the hoop stresses are close to each other and are about one half of the peel stresses.…”