1. Equivalent Proof and Applicability Evaluation of Two Types of Simplified Bishop’s Methods
- Author
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Wei Yan, Yang Shen, Guo Jian Xu, and Lei Chen
- Subjects
Buoyancy ,Boundary (topology) ,General Medicine ,Mechanics ,engineering.material ,law.invention ,Moment (mathematics) ,law ,engineering ,Geotechnical engineering ,Hydrostatic equilibrium ,Hydrostatic stress ,Equivalence (measure theory) ,Groundwater ,Mathematics ,Resultant force - Abstract
In order to consider the influence of water pressure on cohesive soil slope with groundwater, the local and global water pressure methods are proposed. The equivalence and applicability of the two methods based on the simplified Bishop’s method are analyzed. The local water pressure method considers the water pressures on boundaries as components and the global water pressure method considers the water pressures as a resultant force. The physical analysis and numerical verification showed these two methods are completely equivalent. While the global water pressure method is more convenient in hydrostatic condition, the local water pressure method is prior in seepage condition. It is also pointed out that there are significant defects in some regular expressions of simplified Bishop’s method. Because they neglect the moment generated by water pressure on the top boundary of slope or wrongly evaluate of the hydrodynamic failure states with hydrostatic stress parameters.
- Published
- 2012
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