Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The application of limit analysis to the determination of the strength of butt joints

Author: R. T. Shield
Journal: Quart. Appl. Math. 15 (1957), 139-147
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/92463
MathSciNet review: 92463
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Abstract: The technique of limit analysis is applied to determine upper and lower bounds for the tensile strength of a butt joint consisting of a thin layer of adhesive joining the parallel flats of two rigid adherends. The adhesive is assumed to be an elastic-perfectly plastic material which yields when the maximum shear stress reaches a critical value. The methods used apply to any joint with a convex area of cross-section. Particular application is made to joints whose cross-sections are circular, rectangular, or a polygon circumscribed about a circle.

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DOI: https://doi.org/10.1090/qam/92463
Article copyright: © Copyright 1957 American Mathematical Society

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