CLC number: TU46

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2013-01-23

Cited: 6

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Chang-yu Han, Jin-jian Chen, Jian-hua Wang, Xiao-he Xia. 2D and 3D stability analysis of slurry trench in frictional/cohesive soil[J]. Journal of Zhejiang University Science A, 2013, 14(2): 94-100.

@article{title="2D and 3D stability analysis of slurry trench in frictional/cohesive soil",

author="Chang-yu Han, Jin-jian Chen, Jian-hua Wang, Xiao-he Xia",

journal="Journal of Zhejiang University Science A",

volume="14",

number="2",

pages="94-100",

year="2013",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.A1200257"

}

%0 Journal Article

%T 2D and 3D stability analysis of slurry trench in frictional/cohesive soil

%A Chang-yu Han

%A Jin-jian Chen

%A Jian-hua Wang

%A Xiao-he Xia

%J Journal of Zhejiang University SCIENCE A

%V 14

%N 2

%P 94-100

%@ 1673-565X

%D 2013

%I Zhejiang University Press & Springer

%DOI 10.1631/jzus.A1200257

TY - JOUR

T1 - 2D and 3D stability analysis of slurry trench in frictional/cohesive soil

A1 - Chang-yu Han

A1 - Jin-jian Chen

A1 - Jian-hua Wang

A1 - Xiao-he Xia

J0 - Journal of Zhejiang University Science A

VL - 14

IS - 2

SP - 94

EP - 100

%@ 1673-565X

Y1 - 2013

PB - Zhejiang University Press & Springer

ER -

DOI - 10.1631/jzus.A1200257

**Abstract: **A 2D and 3D kinematically admissible rotational failure mechanism is presented for homogeneous slurry trenches in frictional/cohesive soils. Analytical approaches are derived to obtain the upper bounds on slurry trench stability in the strict framework of limit analysis. It is shown that the factor of safety from a 3D analysis will be greater than that from a 2D analysis. Compared with the limit equilibrium method, the limit analysis method yields an unconservative estimate on the safety factors. A set of examples are presented in a wide range of parameters for 2D and 3D homogeneous slurry trenches. The factor of safety increases with increasing slurry and soil bulk density ratio, cohesion, friction angle, and with decreasing slurry level depth and trench depth ratio, trench width and depth ratio. It is convenient to assess the safety for the homogeneous slurry trenches in practical applications.

**
**

1. Introduction

Tsai (

This paper is aimed at developing a 2D and 3D analysis of slurry trench stability for frictional/cohesive soil. Formulas for the slurry trench stability analysis are obtained through theoretical derivation with the basis of limit analysis theory, and then rotational mechanisms are presented for slurry trench stability. Examples are provided to illustrate the safety factor influence by the trench width and depth ratio (

2. Limit analysis theorems

The most common yield condition used for soils is the Mohr-Coulomb function, which contains two material constants: the internal friction angle

3. 2D analysis of slurry trench stability

Slurry trench can be considered as a special situation of the slope, when the slope angle is 90°. Expressions of the rate of internal energy dissipation (

The work rate of the soil weight (

The internal dissipation of energy occurs along the discontinuity surface

The slurry velocity (

The slurry pressure is

The rate of external work (

For a slurry trench of given geometry, it is possible to evaluate the safety factor, defined as

The same expression of safety factor (

The safety factor (

In Eqs. (

4. 3D analysis of slurry trench stability

With the slope angle

The work rate of the soil weight (

The internal dissipation of energy (

The slurry velocity during rotation about axis

The slurry pressure is

The rate of external work (

The safety factor in Eq. (

In Eqs. (

The function

5. Results and discussion

In this section, the solutions obtained by Han et al. (

In Figs.

Figs.

6. Conclusions

* Project (Nos. 41002095, 41172251 and 41272317) supported by the National Natural Science Foundation of China

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