Effect of Crack on Ridge of Plate Structure
Publication: Journal of Engineering Mechanics
Volume 113, Issue 12
Abstract
The present study is concerned with the membrane and bending stresses induced in a folded plate in the presence of a crack at the ridge of the folded plate. The classical method of solving dual integral equations by converting them into singular integral equations is applied for determination of stresses in a folded plate structure which is weakened by a crack. The crack is located along the ridge of the folded plate structure whose behavior is governed by the coupled set of equations pertaining to bending and stretching deformations. The presence of the crack leads to the formation of a system of dual integral equations with Cauchy kernels. These are solved numerically by applying the Chebyshev integration formula in conjunction with certain collocation techniques.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Booss, G. F., Ch. (1963). Phase I report on folded plates. J. Struct. Div., ASCE, 89(6), 364–406.
2.
Dundurs, J., Samuchin, M. G. (1971). Int. J. Solid Struct., 7, 1627–1640.
3.
England, A. H., and Green, A. E. (1963). Proc. Camb. Phil. Soc., 59, 489.
4.
Erdogan, F., Gupta, G. D., and Cook, T. S. (1972). Wolters‐Noordhoff Pub., 368–425.
5.
Goldberg, J. E., and Leve, H. L. (1957). “Theory of prismatic folded plates structures.” Pub. Int. Assn. Bridge Struct. Engng., 17, 59.
6.
Gradshteyn, I. S., and Ryzhik, I. M. (1965). Table of integrals. Series and Academic Press.
7.
Muskhelishvili, N. I. (1953). Singular integral equations. Noordhoff.
8.
Simpson, H. (1958). “Design of folded plate roofs.” J. Struct. Div., ASCE, 84(1), 1–7.
9.
Sneddon, I. N., and Berry, D. S. (1958). “The classical theory of elasticity,” Handbuch der Physcik, 6, 118–122.
10.
Sneddon, I. N. (1951). Fourier transforms. McGraw‐Hill Book Co., Inc., New York, N.Y.
11.
Sneddon, I. N. (1966). Mixed boundery value problems in potential theory. North‐Holland Pub. Company.
12.
Timoshenko, S. P., and Woinowsky‐Krieger, S. (1958). Theory of plates and shells. McGraw‐Hill Book Co., Inc., New York, N.Y.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: Dec 1, 1987
Published in print: Dec 1987
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.