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An alternating coupling of finite elements and singular integral equations for the solution of branched cracks in finite sheets

✍ Scribed by P.S. Theocaris; G. Tsamasphyros; E.E. Theotokoglou

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 736 KB
Volume: 20
Category: Article
ISSN: 0013-7944
DOI: 10.1016/0013-7944(84)90033-x

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✦ Synopsis

The problem of a branched crack in a finite sheet is considered in this paper. The solution is given by Schwarz's alternating method, using two sequences of solutions. The first sequence corresponds to the finite, but untracked, body, and the finite element method was used, whereas for the other sequence of solutions concerning the infinite cracked sheet, the singular integral equation method. In this way, the well-known capabilities of singular integral equations to describe accurately singular fields with the flexibility and the stability of finite element method are efficiently combined to solve rapidty, and with a reduced computer cost, complicated problems of cracked plates encountered in the praxis. Numerical applications of the method proved the rapid convergence and the stability of the procedure, as well as its accuracy and versatility.

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