Stress Analysis of Adhesively Bonded Lap Joints of Hollow Shafts Subjected to Torsional Moments

2000 ◽  
Author(s):  
Yuichi Nakano ◽  
Yukihisa Takagi ◽  
Toshiyuki Sawa

Abstract The stress and strain distributions in adhesively bonded lap joints of hollow shafts with dissimilar materials subjected to torsional moments are examined using an axisymmetric theory of elasticity. In the analysis, the joint is modelled as an elastic three-body contact problem, and the hollow shafts, and the adhesive are respectively replaced by finite hollow cylinders. In the numerical calculations, the effects of the ratio of Young’s modulus of the adhesive to that of the shaft, the overlap length, and the thickness of the adhesive on the stress distributions at the interfaces in the joint are clarified. It is shown that the shear stress becomes singular at the ends of the interfaces between the shafts, and the adhesive, and increases near the ends of the interfaces with a decrease of Young’s modulus of the shaft, and of the thickness of the adhesive. For verification of the stress analysis, the strain distribution at an outer surface of an adhesively bonded lap joint was measured and a fairly good agreement was shown by comparing the experimental result with the analytical one.

Author(s):  
Toshiyuki Sawa ◽  
Taro Hasegawa

Composite parts have been used widely for lightening and strengthening mechanical parts, and it is necessary to know the contact stress distributions at the interfaces of the composites. In this paper, the interface stress distribution in composite cylinders of epoxy and steel under push-off loadings is analyzed using axisymmetrical theory of elasticity as a three-body contact problem. Analogous test was conducted to determine the relationship between the normal stress and the shear stress. Using two stress singularity parameters obtained from the numerical stress analyses and analogous test results, a method for estimating the strength of the composite cylinders was proposed. In the numerical calculations, the effects of the diameter and Young’s modulus of the solid cylinders on the interface stress distributions are clarified. It is seen that the normal stress and the sheer stress at the lower edges of the interface increase as Young’s modulus of the solid cylinders increases. It is also found seen that the normal stress increases and the sheer stress decreases as the diameter of the solid cylinders increases. The experiments were carried out for measuring the ruptured push-off loadings of the composite cylinders. In the experiments, the effects of the diameter of steel cylinders were examined. It is seen that the push-off strength increases as the diameter of the steel cylinders increases. The numerical results are in fairly good agreements with the experimental results.


1994 ◽  
Vol 60 (572) ◽  
pp. 1108-1113
Author(s):  
Hidetoshi Yanai ◽  
Nobuyuki Kishine ◽  
Yukari Komaba ◽  
Yukitaka Murakami

2018 ◽  
Vol 26 (4) ◽  
pp. 493-499 ◽  
Author(s):  
Alexander S. Leonov ◽  
Alexander N. Sharov ◽  
Anatoly G. Yagola

Abstract This article presents the solution of a special inverse elastography problem: knowing vertical displacements of compressed biological tissue to find a piecewise constant distribution of Young’s modulus in an investigated specimen. Our goal is to detect homogeneous inclusions in the tissue, which can be interpreted as oncological. To this end, we consider the specimen as two-dimensional elastic solid, displacements of which satisfy the differential equations of the linear static theory of elasticity in the plain strain statement. The inclusions to be found are specified by parametric functions with unknown geometric parameters and unknown Young’s modulus. Reducing this inverse problem to the search for all unknown parameters, we solve it applying the modified method of extending compacts by V. K. Ivanov and I. N. Dombrovskaya. A posteriori error estimate is carried out for the obtained approximate solutions.


Author(s):  
Scott E. Stapleton ◽  
Bertram Stier ◽  
Stephen Jones ◽  
Andrew Bergan ◽  
Ibrahim Kaleel ◽  
...  

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1437 ◽  
Author(s):  
Yanfeng Zhang ◽  
Zhengong Zhou ◽  
Zhiyong Tan

The performance of joint structure is an important aspect of composite material design. In this study, we examined the compression shear bearing capacity of the adhesively bonded single-lap joint structure of high-temperature-resistant composite materials (C/C composite materials). The test pieces were produced in accordance with the appropriate ASTM C1292 standard, which were used for the compression shear test. The failure morphology of the layer was observed by a digital microscopic system and scanning electron microscope. The experimental result shows that the load on the test piece increased nonlinearly until the failure occurred, and most of the adhesive layer exhibited cohesive failures at three temperature points (400, 600, and 800 °C), while the interface failures occurred in a small part of the adhesive layer. A numerical analysis model was established using ABAQUS finite element software. The simulation results were compared with the test results to verify the correctness of the model. On the basis of correctness of the model verified by comparing the simulation results and the test results, the influences of temperature and overlapped length on the joint compression shear performance were studied through the validated simulation method. Numerical results showed that the ultimate load of the joint decreased with increases in temperature and that the distribution trends of the shear stresses in the overlapped length direction were substantially the same for joints of different overlapped lengths.


Volume 1 ◽  
2004 ◽  
Author(s):  
Xiaocong He ◽  
S. Olutunde Oyadiji

This paper deals with stress analysis of a single lap-jointed cantilevered beam using the three dimensional linear elastic finite element analysis (FEA) technique. Numerical examples are provided to show the influence on the stresses of the single lap-jointed cantilevered beams using adhesives of different characteristics which encompass the entire spectrum of viscoelastic behaviour. The results indicate that the stress distributions of a single-lap jointed cantilevered beam are strongly affected by both Young’s modulus and Poisson’s ratios. The maximum stress ratio was used to determine maximum values of Young’s Modulus required in order that the static stresses of an adhesively bonded cantilevered beam will not be more than given value of that of the equivalent homogeneous structure, that is a geometrically similar beam but without a joint. The analysis results also show that by choosing suitable adhesives, the maximum stresses can be reduced and the strength can be improved.


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