Abstract
Stresses are considered in the box shell formed by two semi-infinite plates joined at right angles. The plates are similar but their thicknesses are different. The crack is an arbitrarily oriented and goes to the shell’s tip. The edges of the crack are loaded in a plane of box shell’s plate. It has been known that numerical methods of solving of stress state problems in the box shell weakened by a crack coming out on the tip possess bad convergence through the necessity of taking into account real singularities near the crack. The problem is solved on the assumption that the plates have small thickness with respect to the length of crack and this makes possible the consideration of problem in an asymptotical formulation, (see Popov, Reut[4]).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G.Ya. Popov, The elastic stress concentration near stamps, cuts, thin inclusions and reinforcements. Moscow, Nauka, 1982, p. 342.
A.A. Khrapkov, Some cases of elastic equilibrium of infinite wedge with an unsymmetrical cut in the apex by the action of concentrated force, PMM, vol. 35 (1971), N4 pp. 677–689.
G.Ya. Popov and V.V. Reut, The calculation of the box shells.Thesises of XIV All-Union conference on the theory of plates and shells, vol. 2 Kutaisy, 1987, pp. 327–333.
G.Ya. Popov and V.V. Reut, The asymptotic approach to the problems of the state of stress in elastic boxed bodies. Annotation of reports of VII All-Union congress on theoretical and applied mechanics. Moskow 1991, pp. 291–292.
V.I. Migdalski and V.V. Reut, On the stress state of the box shell which is weaked by the crack//Vestnik Odesskogo universiteta, 1998, N3, pp. 43–49.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Basel AG
About this paper
Cite this paper
Migdalski, V.I., Reut, V.V. (2000). An Arbitrary Oriented Crack in the Box Shell. In: Adamyan, V.M., et al. Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8403-7_18
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8403-7_18
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9552-1
Online ISBN: 978-3-0348-8403-7
eBook Packages: Springer Book Archive