The general solutions of the doubly periodic cracks

✍ Scribed by S.S. Chang

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 431 KB
• Volume: 18
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(83)90133-9

✦ Synopsis

Abstr&-The purpose of this paper is to use the basic theorem of Jacobi elliptic functions and residues to find the general solutions of the stress intensity factort of doubly periodic cracks subjected to concentrated forces P, T and Q on the surfaces of each crack. In this paper the general solutions are expressed in simply closed forms, and they can also be applied to solve practical problems of rectangular sheet with central crack.

The general solutions in this paper may be used as a fundamental Green's function for finding other solutions of the doubly periodic cracks involving arbitrary surface forces. It is easily proved that all problems of the isolated crack and the singly periodic cracks loaded by arbitrary surface forces, are the special cases of the general solutions in this paper.