Study on the Calculation of Limit Loads for Non-Homogeneous Soil Foundations
- Aimin Liu (Tiajin Port Engineering Institute Ltd. of CCCC) | Weiwei Xu (Hebei University of Engineering) | Bin Li (Tiajin Port Engineering Institute Ltd. of CCCC)
- Document ID
- International Society of Offshore and Polar Engineers
- The 28th International Ocean and Polar Engineering Conference, 10-15 June, Sapporo, Japan
- Publication Date
- Document Type
- Conference Paper
- 2018. International Society of Offshore and Polar Engineers
- virtual work equation, velocity field, generalized limit equilibrium method:, slip surface, ultimate load
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- 13 since 2007
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The extreme conditions of a yield function, which was used as one of the fundamental equations for ultimate analysis of soil mass, together with the equilibrium equation and yield conditions, constituted a complete limit equilibrium problem. The velocity field and the velocity equation of the slip surface family may be used to establish a new ultimate analysis method - Generalized Limit Equilibrium Method. An approximate formula for calculating the ultimate load on a foundation was derived by using the generalized limit equilibrium method. The extremum theorem of an ultimate load and the results of calculation proved that if the chosen slip surface (family) came near to the genuine slip surface, the obtained approximate value of an ultimate load was more close to the genuine solution.
As we all know, the upper bound theorem, which is based on the law of the association flow, is the basis of the method of limitation. The process of solving the problem of limit load is as follows: (1) the assumption of the sliding surface; (2) the construction of velocity field; (3) Calculation of ultimate load in accordance with the virtual work equation has been discovered by CHEN Hui-fa(1995) and HUANG Chuan-zhi(2006).
HUANG Chuan-zhi and ZHANG Jing (2002) proposed that the extremum condition of the yield function is considered as one of the basic equations of soil limit analysis method, the limit load of upper and lower bound theorems can be rigorously proved; according to the velocity equation of the velocity field and sliding surface family, under the assumption of the sliding surface, the velocity field can be solved by the velocity equation, further calculation of ultimate load can the computed according to velocity equation. It is clear that the velocity field of the upper limit solution needs to be built artificially; this method of calculation can be regarded as a progress.
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