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Research Papers

A Coupled Peel and Shear Stress-Diffusion Model for Adhesively Bonded Single Lap Joints

[+] Author and Article Information
Emad Mazhari

Department of Mechanical Engineering,
Fastening and Joining Research Institute (FAJRI),
Oakland University,
Rochester, MI 48309
e-mail: mazhari.e@gmail.com

Sayed A. Nassar

Fellow ASME
Department of Mechanical Engineering,
Fastening and Joining Research Institute (FAJRI),
Oakland University,
Rochester, MI 48309
e-mail: nassar@oakland.edu

1Corresponding author.

Manuscript received December 19, 2016; final manuscript received May 2, 2017; published online July 14, 2017. Editor: Y. Lawrence Yao.

J. Manuf. Sci. Eng 139(9), 091007 (Jul 14, 2017) (9 pages) Paper No: MANU-16-1662; doi: 10.1115/1.4036786 History: Received December 19, 2016; Revised May 02, 2017

In this study, the Fickian diffusion formulation is extended to the adhesive layer of a single lap joint (SLJ) model, in order to develop a coupled peel and shear stress-diffusion model. Constitutive equations are formulated for shear and peel stresses in terms of adhesive material properties that are time- and location-dependent. Numerical solution is provided for the effect of diffusion on shear and peel stresses distribution. Detailed discussion of the results is presented.

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References

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Figures

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Fig. 1

One-dimensional diffusion model

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Fig. 2

Normalized concentration variation along the overlap length, L = 12.7 mm, D = 2 × 10−7 mm2/s

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Fig. 3

SLJ and free-body diagram under shear-tensile load P

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Fig. 4

SLJ segments in Hart-Smith model [5]

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Fig. 5

Variations of intend bending moment Mo with diffusion time

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Fig. 6

Shear and Young's modulus variations along the overlap for various diffusion times (Eqs. (2) and (3))

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Fig. 7

Convergence of peel and shear stresses solution versus diffusion time

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Fig. 8

Proposed model prediction of shear stress along the overlap length using Goland–Reissner approach [4]

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Fig. 9

Proposed model prediction of shear stress along the overlap length using Hart-Smith approach [5]

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Fig. 10

Proposed model prediction of peel stress along the overlap length using Goland–Reissner approach [4]

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Fig. 11

Proposed model prediction of peel stress along the overlap length using Hart-Smith approach [5]

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Fig. 12

Proposed model prediction of edge value of shear stress using various approaches

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Fig. 13

Proposed model prediction of edge value of peel stress using various approaches

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Fig. 14

Proposed model prediction of central value of shear stress using various approaches

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Fig. 15

Proposed model prediction of central value of peel stress using various approaches

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Fig. 16

Model prediction of maximum values of shear stress using various approaches

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Fig. 17

Model prediction of maximum values of peel stress using various approaches

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