Abstract:This paper presents a study of the stress analysis in cylindrical assemblies. For the present study we use a cylindrical assembly of two tubes. We write all the components of the stress field function of the s ð1Þ zz ðzÞ stress in the first tube and then we introduce these components into the potential energy formulation. Our method is a variational method applied on the potential energy of deformation. The model can predict the intensity and the distributions of stresses in the assembly. We can also analyse t… Show more
“…Only lap joints with flat adherends are discussed but there are analyses for other kind of joints such as those of Lubkin and Reissner [3], Adams and Peppiatt [4], and Nemes et al [5] for tubular joints. Two-dimensional linear elastic analyses, twodimensional elasto-plastic analyses, three dimensional analyses and mixed adhesive joint analyses are also presented.…”
“…Only lap joints with flat adherends are discussed but there are analyses for other kind of joints such as those of Lubkin and Reissner [3], Adams and Peppiatt [4], and Nemes et al [5] for tubular joints. Two-dimensional linear elastic analyses, twodimensional elasto-plastic analyses, three dimensional analyses and mixed adhesive joint analyses are also presented.…”
“…Boundary conditions and assumptions of Allman were adopted in their model development. Nemes et al [5] further developed the stress analysis of adhesive in a cylindrical assembly of two tubes. Variational method of the potential energy was also employed.…”
In the past years, many studies have been conducted on behaviors of adhesive tubular joints subjected to various loading conditions, such as torsion, axial, and internal and external pressure. However, the previous models are conceptually distinct, since they were developed to analyze only for each type of load. Mostly, homogeneous isotropic or orthotropic material were considered and thin-walled joint structures were examined. Therefore, the aim of this chapter is to present for the first time a generalized mathematical formulation and modeling of adhesive-bonded cylindrical coupler joints taking into account all loading scenarios. The inner and outer adherends can be made of isotropic, orthotropic, or laminated composite materials, and they are modeled as three-dimensional elastic body, so adherends with any thickness can be analyzed. Assumptions of an axisymmetric joint with linearly elastic adherends and adhesive materials are employed. Thin adhesive layer is considered so that only the out-of-plane adhesive stresses are concerned, and they are treated to be uniform through its thickness. Using elasticity theory and the newly developed finite-segmented method, stress distributions in both adherends and adhesive can be evaluated. Calculation examples of laminated composite joints are given. This model provides the unified analysis of adhesive-bonded cylindrical coupler joints.
“…The literature survey carried out in the first part of this study [1] and the related comparison with finite element (FE) results have evidenced that, among the known models of the tubular bonded joints under axial loading [2][3][4][5][6][7][8][9], only the one by Lubkin and Reissner [2] gives a truthful distribution of the peel stress in the overlap, while the shear component is predicted correctly in all models. Moreover, the FE results evidence that the peel and shear stresses are the most important components; the remaining ones, namely the axial and hoop stresses, have similar magnitude and are about one half of the peel stress.…”
The literature presents several analytical models and solutions for single-and double-lap bonded joints, whilst the joint between circular tubes is less common. For this geometry the pioneering model is that of Lubkin and Reissner (Trans. ASME 78, 1956), in which the tubes are treated as cylindrical thin shells subjected to membrane and bending loading, whilst the adhesive transmits shear and peel stresses which are a function of the axial coordinate only. Such assumptions are consistent with those usually adopted for the flat joints. A former investigation has shown that the L-R model agrees with FE results for many geometries and gives far better results than other models appeared later in the literature. The aim of the present work is to obtain and present an explicit closed-form solution, not reported by Lubkin and Reissner, which is achieved by solving the governing equations by means of the Laplace transform. The correctness of the findings, assessed by the comparison with the tabular results of Lubkin and Reissner, and the features of this solution are commented.
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