Von Neumann stability analysis is performed for a Galerkin ΓΏnite element formulation of Biot's consolidation equations on two-dimensional bilinear elements. Two dimensionless groups-the Time Factor and Void Factor-are identiΓΏed and these quantities, along with the time-integration weighting, are use
General stability of two-dimensional slopes based on Sarma's method
β Scribed by Jie, M.; Chen, C. Y.; Zhang, J. J.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 146 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0363-9061
No coin nor oath required. For personal study only.
β¦ Synopsis
Sarma's method of taking a "ctitious accerelation as a measure of safety is used to study a two-dimensional slope. The slope is divided into arbitrary slices. The relations among forces acting on the slices and Sarma's acceleration are assumed to be linear. Consequently, a general analytical expression of Sarma's acceleration is derived by means of Cramer's rule. Furthermore, for four commonly used slice methods with simple relations among the forces on each slice and Sarma's acceleration, a general closed-form solution of Sarma's acceleration is given. An example is calculated and the results agree well with those of Hoek.
π SIMILAR VOLUMES
by using the BHW, better approximate the original w Ε½ . Ε½ .x signals E , H than those treated by using the i i RGW, and this, in turn, helps reduce the iteration time in the time domain by as much as a factor of 10.