A Variational Approach for Stress Analysis of Single-lap bonded Joints under Mechanical and Thermal Loads
05 Jan 2015-
About: The article was published on 2015-01-05. It has received 1 citations till now. The article focuses on the topics: Stress (mechanics).
Citations
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TL;DR: In this article, a theoretical framework is presented for the stress analysis of shaft-tube adhesive joints subjected to axial tensile loads, where the axisymmetric assembly consists of similar or dissimilar isotropic or orthotropic adherends and a homogeneous adhesive layer.
Abstract: The stress analysis of cylindrical adhesive joints is less frequently reported in the literature compared with that of flat geometries. Determination of shear and peel stresses in the adhesive layer is critical to the design of such multi-material joints. In this study, a theoretical framework is presented for the stress analysis of shaft-tube adhesive joints subjected to axial tensile loads. The axisymmetric assembly consists of similar or dissimilar isotropic or orthotropic adherends and a homogeneous adhesive layer. Adopting a generic stress function approach, stress fields are derived by enforcing the traction and traction-free boundary conditions as well as the stress continuity conditions at the interfaces. The principle of minimum complementary energy in conjunction with a variational method is used to obtain the governing differential equations in order to determine the stress-state in each of the constituents. Shear and peel stress distribution within the adhesive layer is presented to showcase the presence of stress concentration at the ends of the overlap. To verify the accuracy of the theoretical results, an identical axisymmetric finite element model is created and Finite Element (FE) analysis is performed. The stress fields obtained from the analytical model are in good agreement with the FE predictions. The influence of overlap length and stiffness mismatch between the adherends on peak adhesive stresses and their distribution are studied through a systematic parametric study. The findings of this study provides insight into the optimal design of multi-material adhesive joints.
23 citations
References
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TL;DR: In this article, the adhesive joint is modelled as an adherend-adhesive sandwich with any combination of tensile, shear and moment loading being applied at the ends of both adherends.
Abstract: The general elastic plane strain problem of adhesively bonded structures which consist of two different adherends is considered. To facilitate a truly general approach the adhesive joint is modelled as an adherend-adhesive sandwich with any combination of tensile, shear and moment loading being applied at the ends of both adherends. A full elastic analysis is presented which calculates the adhesive shear and tensile stresses in the overlap region, this analysis has been validated for a range of load cases using a finite element program. Basic design approaches are outlined and explicit expressions are developed which enable the simple evaluation of the stress distributions in the adhesive overlap. Simplified two parameter design formulae are also produced which accurately describe the peak stresses at the ends of the adhesive overlap in both the transverse and longitudinal shear directions. In all of the analyses the adherends are assumed to behave as linear elastic cylindrically bent plates with the adhesive forming an elastic interlayer between them. In the simplified analyses only one component of adhesive stress is considered, while in the full elastic analysis two components of stress are considered with a consequent increase in the complexity of the required solution method, but also an increase in accuracy over the simplified analyses for a wider range of joint configurations.
239 citations
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208 citations
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TL;DR: In this article, the authors used finite element models to study the stress distribution in a mixed adhesive joint and found that the combination of two adhesives gives a better performance than the use of a high-temperature adhesive alone.
Abstract: The objective of this investigation was to design a joint, suitable for use from low to high-temperatures, by the combination of two adhesives, one for strength at high-temperatures and one for strength at low-temperatures. Such a joint is needed for the fuselage of supersonic aircraft, where aluminium or titanium /composite joints are common and kinetic heating at high speeds can lead to high skin temperatures. The mixed modulus concept described by Hart-Smith is the starting point of the analysis. At high-temperatures, a brittle adhesive (high modulus) in the middle of the joint retains the strength and transfers the entire load. At low-temperatures, a ductile adhesive at the ends of the joint is the load-bearing adhesive. To guarantee that the load is transferred through the low-temperature adhesive, the ends of the overlap can be stiffened. A numerical analysis was carried out using finite element models to study the stress distribution in a mixed adhesive joint so as to find the best possible design of titanium/titanium and titanium/composite double lap joints. It has been shown that, for a joint with dissimilar adherends, the combination of two adhesives gives a better performance (increased load capacity) over the temperature range considered than the use of a high-temperature adhesive alone.
184 citations
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TL;DR: In this article, a concise method of analysis is used to study the numerous parameters influencing the stress distribution within the adhesive of a single lap joint, including transverse shear and normal strain deformations.
Abstract: A concise method of analysis is used to study the numerous parameters influencing the stress distribution within the adhesive of a single lap joint. The formulation includes transverse shear and normal strain deformations. Both isotropic or anisotropic material systems of similar or dissimilar adherends are analysed. Results indicate that the primary Young's modulus of the adherend, the overlap length, and the adhesive's material properties are the parameters most influential in optimizing the design of a single lap joint.
158 citations
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TL;DR: In this paper, the classical laminate plate theory and adhesive interface constitutive model are employed for this deduction, and theoretical and numerical studies of the balanced joints are conducted to reveal the adhesive peel and shear stresses.
Abstract: Analytical solutions for adhesively bonded balanced composite and metallic joints are presented in this paper. The classical laminate plate theory and adhesive interface constitutive model are employed for this deduction. Both theoretical and numerical (finite element analysis) studies of the balanced joints are conducted to reveal the adhesive peel and shear stresses. The methodology can be extended to the application of various joint configurations, such as single-lap and single-strap joints to name a few. The methodology was used to evaluate stresses in several balanced adhesively bonded metallic and composite joints subjected to the tensile, moment and transverse shear loadings. The results showed good agreements with those obtained through FEM.
98 citations
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