On the prediction of the stress field in adhesive joints using a combined analytical-numerical method
Source abstract
Abstract
In this paper, the stress field in adhesively bonded joints is predicted by employing an analytical approach together with the finite element method (FEM). To accomplish this, the adhesive joint is considered as a bi-material notch. Then, a unified analytical formulation for the in-plane stress and displacement field of bi-material notches is presented in the form of asymptotic series. Subsequently, a numerical procedure based on an over-determined system of equations is used to obtain the coefficients of the series solution for various types of adhesive joints including single lap joint (SLJ), single fillet lap joint (SFLJ), butt joint (BJ), scarf joint (SJ), and single lap joint with an inside taper and adhesive fillet (SLJ-ITAF). By comparing the results obtained from the analytical stress field with the numerical results, the accuracy of the calculated coefficients is evaluated. It is shown that by using the proposed approach one can obtain the stress field within the adhesive layer by using the stress or displacement fields of the adherend. The obtained results also show that neglecting the higher-order terms can result in significant errors while considering the first three non-singular stress terms besides the singular term reveals very good results.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Structural Load-Bearing Analysis · Composite Structure Analysis and Optimization · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (28)
Show source-provided references
1. Mechanics and fracture of crack tip deformable bi-material interface10.1016/j.ijsolstr.2004.06.006 ↗
2. Stress analysis of bonded lap joints using fracture mechanics and energy balance10.1016/j.ijadhadh.2006.10.005 ↗
3. Interfacial shear stress analysis in single-lap adhesive joints with similar and dissimilar adherends under dynamic loading10.1016/j.ijadhadh.2021.102953 ↗
4. Analytical solutions for adhesively bonded composite single-lap joints under mechanical loadings using full layerwise theory10.1016/j.ijadhadh.2013.01.012 ↗
5. Extended analytical model for interfacial stresses of double-lap joints under harmonic loads10.1016/j.ijadhadh.2019.02.013 ↗
6. Finite element analysis of a bimaterial interface crack10.1016/0167-8442(85)90035-7 ↗
7. Treatment of bimaterial interface crack problems using the boundary element method10.1016/0013-7944(90)90268-L ↗
8. Three-dimensional stress singularity at a bimaterial interface crack front10.1016/S0263-8223(97)00154-2 ↗
9. Stress fields at the tip of a sharp inclusion on the interface of a bimaterial10.1007/s11029-016-9610-3 ↗
10. Singularities of an inclined crack terminating at the bi-material interface in a Reissner plate10.1007/s10704-016-0177-8 ↗
11. Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions10.1115/1.3408786 ↗
12. A path independent integral for computing stress intensities for V-notched cracks in a bi-material10.1007/BF00276356 ↗
13. Stress singularity of the obtuse notch tip for the case of a notch lying along the Bi-material interface
14. Wedge corner stress behaviour of bonded dissimilar materials10.1016/S0167-8442(99)00041-5 ↗
15. Analysis of free‐edge stress and displacement fields in scarf joints subjected to a uniform change in temperature10.1046/j.1460-2695.1998.00041.x ↗
16. An investigation of the stress singularity near the free edge of scarf joints10.1016/S0997-7538(99)00118-7 ↗
17. Experimental determination of stress field parameters in bi-material notches using photoelasticity10.1016/j.matdes.2011.06.002 ↗
18. Bi-material V-notch stress intensity factors by the fractal-like finite element method10.1016/j.engfracmech.2013.04.006 ↗
19. Strain energy approach to compute stress intensity factors for isotropic homogeneous and bi-material V-notches10.1016/j.ijsolstr.2013.03.011 ↗
20. Muskhelishvili · 1953
21. Calculation of stress intensity factors for an interfacial notch of a bi-material joint using photoelasticity10.5267/j.esm.2013.09.006 ↗
22. The finite element over-deterministic method to calculate the coefficients of crack tip asymptotic fields in anisotropic planes10.1016/j.engfracmech.2020.106982 ↗
23. Asymptotic stress field and the coefficients of singular and higher order terms for V-notches with end holes under mixed-mode loading10.1016/j.ijsolstr.2019.05.011 ↗
24. Experimental determination of the notch stress intensity factor for sharp V-notched specimens by using the digital image correlation method10.1016/j.tafmec.2019.102244 ↗
25. Analysis of the non-singular stress terms for the sharp notches under anti-plane loading10.1016/j.engfracmech.2021.107583 ↗
26. A two-term stress function approach to evaluate stress distributions in bonded joints of different geometries10.1243/030932402760203856 ↗
27. Gleich · 2002
28. Evaluation of first non-singular stress term in bi-material notches10.1016/j.commatsci.2010.10.007 ↗