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On higher order terms and out-of-plane singular mode

✍ Scribed by F. Berto; P. Lazzarin; A. Kotousov

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
994 KB
Volume
43
Category
Article
ISSN
0167-6636

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✦ Synopsis

It is well known that in a plate weakened by a through-the-thickness crack and subjected to remote anti-symmetric loading (mode II), the Poisson's effect leads to the generation of a coupled out-of-plane singular mode (mode O). Recent theoretical and numerical analyses have demonstrated that this effect also occurs in plates weakened by pointed V-notches, and it can play an important role in failure initiation especially in the case of large notch opening angles.

Dealing with cracked plates the influence of higher order terms tied to mode II loading on the out-of-plane singular mode has not been investigated until now. The aim of this paper is to fill this gap with an accurate analysis of mode II higher order terms and their effects on mode O.

πŸ“œ SIMILAR VOLUMES

Evaluation of power-logarithmic singular
Evaluation of power-logarithmic singularities, T-stresses and higher order terms of in-plane singular stress fields at cracks and multi-material corners
✍ Chongmin Song πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 597 KB

The scaled boundary finite-element method is extended to analyze the in-plane singular stress fields at cracks and multi-material corners. A complete singular stress field is represented semi-analytically as a series of matrix power functions of the radial coordinate originating from the singular po