Exploration of closed-form solutions for adhesive stresses in adhesively bonded single-strap butt joints

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AuthorSearch for:
TypeTechnical Report
Series titleStructures and Materials Performance Laboratory; no. LTR-SMPL-2008-0174
Subjectadhesive stresses; beam theory; closed-form solutions; differential equation; balanced; unbalanced; single-strap butt joints; Gauss elimination; finite element
AbstractThe deformation and adhesive stresses in bonded single strap butt joints were theoretically studied. An equation with a weak coupling relation between the peel and shear stresses was noticed in the literature, and an incorrect track to derive the peel stress closed-form solution suggested by past researchers was identified. This incorrect track has been overlooked for nearly 30 years due to the difficulties and complexities in the mathematical aspect of solving high order differential equation. Mathematical difficulties in the analysis were solved and thus closed-form solutions for both the adhesive peel and shear stresses have been successfully developed in this study. In the proposed solutions the adherends and doublers can be different in material and thickness. Good agreement in the adhesive stresses between the closed-form solutions and finite element results was achieved for the joints. Parametric studies of the bending moments at the bonded overlap edges, and the adhesive stresses under the influences of several factors, were carried out. The closed-form solutions could be further extended to specific laminated composite joints for a wide practical application.
Publication date
PublisherNational Research Council Canada
AffiliationNational Research Council Canada; NRC Institute for Aerospace Research
Peer reviewedNo
NRC numberSMPL-2008-0174
NPARC number8930032
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Record identifierf8c1863d-1b98-4724-98a4-86d2c8374de1
Record created2009-04-23
Record modified2016-10-03
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