Linear and higher order displacement theories for adhesively bonded lap joints |
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| Affiliation: | 1. Department of Chemical Engineering, Huaihai Institute of Technology, Lianyungang 222005, China;2. SORST, Japan Science and Technology (JST), Japan;1. Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut, EMI, Eckerstr. 4, 79104 Freiburg, Germany;2. JSOL Corporation, 2-5-24, Harumi, Chuo ward, Tokyo, Japan;1. Department of Civil Engineering, University of Bechar, Bechar 08000, Algeria;2. Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 2200, Algeria;3. Mechanics Laboratory of Lille, CNRS UMR 8107, University of Lille 1, 59655 Villeneuve d’Ascq, France;4. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;5. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt;1. Department of Mathematics and Statistics, University of Lancaster, Lancaster LA1 4YF, UK;2. Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK;3. Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK |
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| Abstract: | This work presents an adhesive model for stress analysis of bonded lap joints, which can be applied to model thin and thick adhesive layers. In this theory, linear variations of displacement components along the adhesive thickness are firstly assumed, and the longitudinal strain and the Poisson's effect of the adhesive are modeled. A differential form of the equilibrium equations for the adherends is analytically solved by means of compatible relations of the adhesive deformation. The derived shear and peel stresses are compared with the classical adhesive model of continuous springs with constant shear and peel stresses, and validated with two-dimensional finite element results of the geometrically nonlinear analysis using a commercial package. The numerical results show that the present linear displacement theory can be applied to both thin and moderately thick adhesive layers. The present formulation of the linear displacement theory is then extended to the higher order displacement theory for stress analysis of a thick adhesive, whose numerical results are also compared with those of the finite element computation. |
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