## Communicated by B. Straughan In this paper we consider the state of plane strain in an elastic material with voids occupying a curvilinear strip as an arch-like region described by R : a<r<b, 0<h<x, where r and h are polar coordinates and a, b, and x (<2p) are prescribed positive constants. Suc
Some remarks on Saint-Venant's principle
β Scribed by H. A. Levine; R. Quintanilla; L. E. Payne
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 286 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider a three-dimensional hyperelastic cylinder in R = D x [0, a). We study the asymptotic behaviour of the deformations of the cross-sections in an equilibrium state. In this case we show that the solutions either have exponential decay or exponential growth. We give some initial conditions such that the latter case occurs.
π SIMILAR VOLUMES
The boundary problems for an elastic wedge and a cone in statics and dynamics are investigated with special emphasis on Saint Venant's principle. The exact analytical solutions are obtained by integral transform technique and the far-field asymptotics is obtained.
## Abstract Sparked by a remarkable result due to Hemaspaandra et al. [9], the voting rule attributed to Charles Dodgson (aka Lewis Carroll) has become one of the most studied voting rules in computational social choice. However, the computer science literature often neglects that Dodgson's rule ha
## Abstract We prove a conjecture of Favaron et al. that every graph of order __n__ and minimum degree at least three has a total dominating set of size at least __n__/2. We also present several related results about: (1) extentions to graphs of minimum degree two, (2) examining graphs where the bo