Deformable Stiffener Welded to an Elastic Plate
Publication: Journal of Engineering Mechanics
Volume 140, Issue 10
Abstract
An approximate solution to the nonlinear problem of an elastic stiffener welded to an elastic plate is obtained in the form of a finite sum of Chebyshev polynomials. To an exact first-order approximation, the deformed length of the stiffener is proved to be greater than its undeformed length. Other conclusions show that the longitudinal force decreases when elongation of the stiffener is included, whereas the concentration coefficient, defined in terms of the singular behavior of the interactive force between the stiffener and the plate that occurs at either end, decreases when the elongation is sufficiently large.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors are grateful to M. Venutelli for help in preparing the manuscript.
References
Broek, D. (1974). Elementary engineering fracture mechanics, Noordoff, Leiden, Netherlands.
Gladwell, G. H. L. (1980). Contact problems in the classical theory of elasticity, Sijthoff and Noordhoff, Alphen ann den Rijn, Netherlands.
Gradshteyn, I. S., and Ryzhik, I. M. (1965). Table of integrals, series, and products, A. Jeffrey, ed., Academic Press, New York.
Grigoliuk, E., and Tolkachev, V. (1987). Contact problems in the theory of plates and shells, Mir, Moscow.
Koiter, W. T. (1955). “On the diffusion of the load from a stiffener to a sheet.” Q. J. Mech. Appl. Math., 8(2), 164–168.
Love, A. E. H. (1927). A treatise on the mathematical theory of elasticity, 4th Ed., Cambridge University Press, Cambridge, U.K.
Melan, E. (1932). “Der Spannungszustand der durch eine Einzelkraft im inner beanspruchten Halbscheibe.” Z. Angew. Math. Mech., 12(6), 343–346 (in German).
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 10 • October 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 1, 2013
Accepted: Feb 20, 2014
Published online: Apr 3, 2014
Discussion open until: Sep 3, 2014
Published in print: Oct 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.