An Asymptotic Solution for Evaluation of Stresses in Balanced and Unbalanced Adhesively Bonded Joints

Shahin, Khaled; Kember, G.; Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬, Farid

doi:10.1080/15376490701810423

Cited by 20 publications

(4 citation statements)

References 11 publications

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“…(19) is not limited to single-lap joints, but can be applied to any joint configuration, only the eccentricity factors k and k 0 need to be adjusted. Eccentricity factors for single-strap and stiffener-plate joint configurations can be found elsewhere (Shahin et al, 2008;Shahin and Taheri, 2007). For example, in the case of CLS specimens restrained against lateral deflections, the eccentricity factors k and k 0 are equal to unity and zero, respectively, and G T for this configuration is reduced to that in Eq.…”

Section: Lap Jointsmentioning

confidence: 99%

The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints

Shahin

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

2008

International Journal of Solids and Structures

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a b s t r a c tAn analytical model is developed to determine the strain energy release rate in adhesive joints of various configurations such as the double-cantilever beam and single-lap joints. The model is based on asymptotic analysis of adhesive layer stresses and Irwin's crack closure integral. Closed-form solutions are presented for balanced and unbalanced joints under mode I, II and mixed-mode I/II that take into account the influence of the shear force on the adhesive stresses, and its influence on the strain energy release rate. The accuracy of the model is tested against the classical beam theory expressions for double-cantilever beam and end-notch flexure specimens. In fact, classical beam theory's expressions are found to be the lower bound of the proposed model solutions, and the two methods converge as the adhesive layer thickness decreases. Analysis of single-lap joints reveals the influence of edge shear forces on the total strain energy release rate, and more importantly on the ratio between modes I and II. Results from the proposed analytical model are in good agreement with finite element results and with analytical models found in the literature.

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Section: Lap Jointsmentioning

confidence: 99%

The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints

Shahin

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

2008

International Journal of Solids and Structures

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“…The interface of an unbalanced GFRP-steel SLJ with compliance in Equation (16) is treated as a flexible interface, which is neglected in most of the existing analytical models. When the normal and shear compliances of the two interfaces in an SLJ are set at 1/100th of the compliance in Equation (16), rigid interfaces are obtained. The interface is considered as a semiflexible interface when interface compliances are set at 1/10th of the compliance in Equation (16).…”

Section: Effect Of Interface Compliancementioning

confidence: 99%

“…When the normal and shear compliances of the two interfaces in an SLJ are set at 1/100th of the compliance in Equation (16), rigid interfaces are obtained. The interface is considered as a semiflexible interface when interface compliances are set at 1/10th of the compliance in Equation (16). As shown in Figure 9, two extreme values of the peel stress and shear stress of the two interfaces and middle plane increase sharply as the interface compliances decrease.…”

Section: Effect Of Interface Compliancementioning

confidence: 99%

“…[12] Shahin et al provided closed-form solutions for the SLJ, which accounted for the coupling between the shear stress and peel stress of the adhesive. [16] (3) Quasi-two-dimensional model: For this type of model, the shear stress and/or peel stress are treated as variants along the adhesive thickness, and all boundary conditions should be satisfied. The models presented by Allman [17], Chen and Cheng [18], Frostig et al [19] and Radice and Vinson [20] treated the peel stress as a linear variant along the adhesive thickness and presumed the constant shear stress across the adhesive thickness.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two dimensional analysis for an adhesively bonded composite single-lap joint based on flexible interface theory

Jiang

Wan

Zhong

et al. 2015

Journal of Adhesion Science and Technology

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An improved two-dimensional model based on flexible interface theory is proposed for an adhesively bonded composite single-lap joint. In the modified model, the adherends are treated as a Timoshenko beam, and the adhesive layer is assumed to be an Euler-Bernoulli beam. The peel stress and shear stress across the adhesive thickness varied. Additionally, the zero shear stress condition at the free end of the adhesive layer was satisfied. Based on the displacement compatibility condition of a flexible interface, the governing differential equations for the internal forces are derived. The stress distributions of the adhesive layer can be obtained by solving the governing differential equations. A comparison of the results between the modified model, existing classical models, and finite element results indicate that the improved two-dimensional model can determine the stress distribution of the adhesive with high accuracy. Finally, the effects of the thickness ratio, Young's modulus ratio, and interfacial compliance on the stress distribution of the adhesive are studied using the improved model.

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Improvement of the Performance of Structural Adhesive Joints with Nanoparticles and Numerical Prediction of Their Response

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

2020

Structural Adhesive Joints

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An Asymptotic Solution for Evaluation of Stresses in Balanced and Unbalanced Adhesively Bonded Joints

Cited by 20 publications

References 11 publications

The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints

The strain energy release rates in adhesively bonded balanced and unbalanced specimens and lap joints

Two dimensional analysis for an adhesively bonded composite single-lap joint based on flexible interface theory

Improvement of the Performance of Structural Adhesive Joints with Nanoparticles and Numerical Prediction of Their Response

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