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General solutions of an infinite sheet weakened by doubly periodic circular holes with a pair of radial cracks

โœ Scribed by X.S. Zhang

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
563 KB
Volume
27
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

Making use of the basic theorem of the pole and zero points, we first seek the general solutions of an infinite sheet weakened by a pair of radial cracks emanating from a circular hole subjected to concentrated forces P, T and Q. Employing the same analysis as in previous papers, then we can find that the results are easily extended to the more complicated problems of an infinite plate weakened by an infinite series of singly or doubly periodic circular holes with a pair of radial cracks. All of the solutions to the stress intensity factor in this study are formulated in simply closed forms. With the aid of the superposition principle, it is not difficult to prove that the other results of the similar cracked-sheet may be deduced from the general solutions in the present paper, if its load is arbitrary or various.?

๐Ÿ“œ SIMILAR VOLUMES

General solutions of an infinite sheet w
General solutions of an infinite sheet with doubly periodic cracks moving at constant velocity
โœ X.S. Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 439 KB

In accordance with two different methods, we shall first prove that the dynamic stress intensity factor of mode I of an infinite sheet with a central crack propagating at constant velocity is independent of material constants and the uniform velocity. Then. we may give the general solutions to the m

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The general solutions of an infinite plate with doubly periodic cracks under bending and twisting
โœ S.S. Chang ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 458 KB

objective of the present paper is to use the basic theorem of Jacobi elliptic functions and residues to find the general solutions of the stress intensity factor of a plate with doubly periodic cracks subjected to a pair of concentrated couples Mb and M, on the faces of each crack. In this paper th