Halving circular arcs in normed planes
β Scribed by Horst Martini; Senlin Wu
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 136 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0031-5303
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π SIMILAR VOLUMES
The behaviour of two concentric circular arc cracks in anti-plane strain has been analyzed by treating them as pile-ups of screw dislocations. The external stress required to extend the shear cracks in a brittle manner has been determined from the analysis.
Constructions are described of maximal arcs in Desarguesian projective planes utilizing sets of conics on a common nucleus in PG(2, q). Several new infinite families of maximal arcs in PG(2, q) are presented and a complete enumeration is carried out for Desarguesian planes of order 16, 32, and 64. F
In this paper we construct a class of k-arcs in PG(2, q), q = p~, h > 1, p Β’ 3 and prove its completeness for h large enough. The main result states that this class contains complete k-arcs with k ~< 2. q9/lo (10 divides h and q ~> qo). Such complete k-arcs are the unique known complete k-arcs with