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On deformations with constant modified stretches

✍ Scribed by M. Aron; E. Croitoro


Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
327 KB
Volume
28
Category
Article
ISSN
0374-3535

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✦ Synopsis


Two plane, non-homogeneous, non-conformal deformations with constant modified stretches (the inflation of a circular cylindrical tube and the bending of a rectangular block into a sector of a circular tube) are shown to be possible in the absence of body forces in isotropic elastic solids that satisfy both the classical pressure-compression inequality and the Baker-Ericksen inequality.


πŸ“œ SIMILAR VOLUMES


On the LBB constant on stretched domains
✍ Manfred Dobrowolski πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 90 KB

## Abstract It is proved that the constant in the Ladyzhenskaja–Babuska–Brezzi condition on stretched domains is proportional to __a__^–1^, where __a__ β‰₯ 1 is the aspect ratio of the stretched domain. In particular, the result is valid for channel domains and plates.