An enriched finite element for the simplified stress analysis of an entire bonded overlap: Continuum macro-element
Source abstract
Abstract
A methodology for the formulation of the stiffness matrix of an enriched finite element, called continuum macro-element (CME), representing for the full length of a bonded overlap and both the adhesive and the adhesive in only one four-node elements, is presented. Compared to earlier macro-elements modelling the bonded overlap as beams on elastic foundation, the CME supposed the adherends and the adhesive as plane continuum media, for which higher-order displacement fields is supposed for the adhesive. The formulation of the stiffness matrix for the adherend outside of the overlap is presented as well to address the stress analysis of single-lap bonded joint for assessment purpose. The assessment is performed by comparisons with the results from (i) a plane strain finite element and (ii) two recent papers by Nguyen and Le Grognec [1] and Methfessel and Becker [2]. Good agreements are shown.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Mechanical Behavior of Composites · Structural Load-Bearing Analysis · Structural Behavior of Reinforced Concrete
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (33)
Show source-provided references
1. Das Verteilungsgesetz der Haftspannung bei axial beanspruchten Verbundstaben
2. Die Nietkraftverteilung in Zugbeanspruchten Nietverbindungen mit konstanten Laschenquerschnitten
3. The stresses in cemented joints10.1115/1.4009336 ↗
4. Hart-Smith · 1973
5. Bond thickness effects upon stresses in single-lap adhesive joints10.2514/3.60878 ↗
6. Oplinger · 1991
7. Fully-coupled nonlinear analysis of single lap adhesive joints10.1016/j.ijsolstr.2006.07.009 ↗
8. Analytical solutions for adhesive composite joints considering large deflection and transverse shear deformation in adherends10.1016/j.ijsolstr.2008.07.001 ↗
9. Analytical solutions for nonlinear analysis of composite single-lap adhesive joints10.1016/j.ijadhadh.2008.01.007 ↗
10. Stresses in adhesive between dissimilar adherends10.1080/00218467508075042 ↗
11. Elastic analysis and engineering design formulae for bonded joints10.1016/0143-7496(89)90066-3 ↗
12. A closed-form solution to statically indeterminate adhesive joint problems—exemplified on ELS-specimens10.1016/j.ijadhadh.2007.10.002 ↗
13. Three-parameter, elastic foundation model for analysis of adhesively bonded joints10.1016/j.ijadhadh.2008.10.002 ↗
14. A general sandwich-type model for adhesive joints with composite adherends10.1016/j.ijadhadh.2014.06.009 ↗
15. Closed-form solutions for elastic stress–strain analysis in unbalanced adhesive single-lap joints considering adherend deformations and bond thickness10.1016/j.ijadhadh.2011.03.002 ↗
16. Simplified linear and non-linear analysis of stepped and scarfed adhesive-bonded lap-joints between composite laminates10.1016/S0263-8223(97)00063-9 ↗
17. Analysis of adhesive bonded joints: a unified approach10.1016/S0266-3538(02)00030-1 ↗
18. Analytical two-dimensional model of a hybrid (bolted/bonded) single-lap joint10.2514/1.24452 ↗
19. Modelling load transfer in single-lap adhesively bonded and hybrid (bolted / bonded) joints10.1016/j.paerosci.2022.100811 ↗
20. An analysis of adhesive-bonded single-lap joints10.1115/1.3166976 ↗
21. Théorie élastique de l’assemblage collé à double recouvrement: utilisation de la méthode des développements asymptotiques raccordés au voisinage des extrémités10.1007/BF02472407 ↗
22. On the intralaminar and interlaminar stress analysis of adhesive joints in plated beams10.1016/j.ijadhadh.2012.03.005 ↗
23. An improved four-parameter model with consideration of Poisson’s effect on stress analysis of adhesive joints10.1016/j.engstruct.2015.01.027 ↗
24. A theory for elastic stresses in adhesive bonded lap joints10.1093/qjmam/30.4.415 ↗
25. A Method for the stress analysis of lap joints10.1080/00218469208030455 ↗
26. Analytical and numerical simplified modeling of a single-lap joint10.1016/j.ijadhadh.2021.102827 ↗
27. A generalized model for predicting stress distributions in thick adhesive joints using a higher-order displacement approach10.1016/j.compstruct.2022.115556 ↗
28. An 1D-beam approach for both stress analysis and fatigue life prediction of bonded joints
29. General formulation of macro-elements for the simulation of multi-layered bonded structures10.1080/00218464.2019.1622420 ↗
30. A methodology for the computation of the macro-element stiffness matrix for the stress analysis of a lap joint with functionally graded adhesive properties10.1016/j.ijadhadh.2019.102505 ↗
31. A static boundary element solution for Bickford–Reddy beam10.1007/s00366-019-00774-5 ↗
32. An extended semi-analytical formulation for fast and reliable mode I/II stress analysis of adhesively bonded joints10.1016/j.ijsolstr.2014.12.027 ↗
33. A comparison between macro-element and finite element solutions for the stress analysis of functionally graded single-lap joints10.1016/j.compstruct.2019.02.070 ↗