A New Method for Numerical Analysis of Reinforced Soil

2012 ◽  
Vol 40 (4) ◽  
pp. 104305 ◽  
Author(s):  
Yu-xin Jie ◽  
Bin Zhang ◽  
Guang-xin Li
Keyword(s):  
Numerical Analysis ◽  
Reinforced Soil ◽  
New Method

A two-step iterative method based on diagonal and off-diagonal splitting for solving linear systems

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1441-1452
Author(s):  
Mehdi Dehghana ◽  
Marzieh Dehghani-Madisehb ◽  
Masoud Hajarianc
Keyword(s):  
Numerical Analysis ◽  
Linear Systems ◽  
Iterative Methods ◽  
Classical Problem ◽  
Coefficient Matrix ◽  
New Method ◽  
Step Method ◽  
Numerical Examples ◽  
Special Cases ◽  
Two Parameter

Solving linear systems is a classical problem of engineering and numerical analysis which has various applications in many sciences and engineering. In this paper, we study efficient iterative methods, based on the diagonal and off-diagonal splitting of the coefficient matrix A for solving linear system Ax = b, where A ? Cnxn is nonsingular and x,b ? Cnxm. The new method is a two-parameter two-step method that has some iterative methods as its special cases. Numerical examples are presented to illustrate the effectiveness of the new method.

Pseudo-Nine-Point Finite Difference Method for Numerical Analysis of Lubrication

2009 ◽  
Vol 131 (4) ◽  
Author(s):  
Shaoxian Bai ◽  
Xudong Peng ◽  
Yonggang Meng ◽  
Shizhu Wen
Keyword(s):  
Numerical Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Surface Texture ◽  
Difference Method ◽  
New Method ◽  
Pressure Distributions ◽  
Different Types ◽  
Mesh Density ◽  
Analysis Error

Contours of surface texture of contact faces are not always parallel to the directions of the axis in solving Reynolds equations with finite difference method, and this often induces significant pressure saw-tooth effect, which results in an unignored analysis error. In this paper, pseudo-nine-point finite difference, as a new finite difference method, is introduced to solve the lubrication numerical problem of pressure saw-tooth. Also, application is carried out in gas lubrication of hard disk systems to verify the validity of the new method. In analysis, pressure distributions and gas floating forces are calculated for two different types of sliders, and the astringency and efficiency of the new method is discussed. Numerical results show that the pseudo-nine-point finite difference method can restrain pressure saw-tooth evidently, and presents better astringency and efficiency than the traditional five-point finite difference method. With the increase in mesh density, pressure distribution and gas floating force trend to steady. Also, numerical values of the floating force agree well with the experimental ones.

Research on Numerical Analysis and Application of the Tailing Pond

2011 ◽  
Vol 137 ◽  
pp. 232-236
Author(s):  
Li Ting Zhang ◽  
Qing Lan Qi ◽  
Qiang Li ◽  
Jun Zhang
Keyword(s):  
Numerical Simulation ◽  
Numerical Analysis ◽  
Mineral Water ◽  
Direct Conversion ◽  
New Method ◽  
Tailing Pond ◽  
Seepage Field ◽  
Water Edge ◽  
Actual Location ◽  
Saturated Surface

Determining the location of infiltration ascender line is a key problem to analyze the 3-D seepage field of the tailing pond. As the location of infiltration ascender line is determined by the actual water edge, the calculation location of saturated surface is lower because of no considering the discharge of the mineral water or the flood. When the location is determined by the direct conversion of dry beach length which is suggested in the standards, the calculation location of saturated surface is higher than the measured value. To get the actual location of saturated surface, a new method is suggested to determine the location of infiltration ascender line, called “the indirect conversion method” in the paper. On the basis of the new method, the numerical simulation is carried out to analyze the 3-D seepage field, and the numerical results are compared with the testing results to prove the rationality of the new method.

A new working stress method for prediction of reinforcement loads in geosynthetic walls

2003 ◽  
Vol 40 (5) ◽  
pp. 976-994 ◽  
Author(s):  
T M Allen ◽  
Richard J Bathurst ◽  
Robert D Holtz ◽  
D Walters ◽  
Wei F Lee
Keyword(s):  
Limit Equilibrium ◽  
Limit State ◽  
Reinforced Soil ◽  
Soil Reinforcement ◽  
New Method ◽  
Internal Stability ◽  
Working Stress ◽  
Soil Walls ◽  
Stiffness Method ◽  
Reinforced Soil Walls

Proper estimation of soil reinforcement loads and strains is key to accurate internal stability design of reinforced soil structures. Current design methodologies use limit equilibrium concepts to estimate reinforcement loads for internal stability design of geosynthetic and steel reinforced soil walls. For geosynthetic walls, however, it appears that these methods are excessively conservative based on the performance of geosynthetic walls to date. This paper presents a new method, called the K-stiffness method, that is shown to give more accurate estimates of reinforcement loads, thereby reducing reinforcement quantities and improving the economy of geosynthetic walls. The paper is focused on the new method as it applies to geosynthetic walls constructed with granular (noncohesive, relatively low silt content) backfill soils. A database of 11 full-scale geosynthetic walls was used to develop the new design methodology based on working stress principles. The method considers the stiffness of the various wall components and their influence on reinforcement loads. Results of simple statistical analyses show that the current American Association of State Highway and Transportation Officials (AASHTO) Simplified Method results in an average ratio of measured to predicted loads (bias) of 0.45, with a coefficient of variation (COV) of 91%, whereas the proposed method results in an average bias of 0.99 and a COV of 36%. A principle objective of the method is to design the wall reinforcement so that the soil within the wall backfill is prevented from reaching a state of failure, consistent with the notion of working stress conditions. This concept represents a new approach for internal stability design of geosynthetic-reinforced soil walls because prevention of soil failure as a limit state is considered in addition to the current practice of preventing reinforcement rupture.Key words: geosynthetics, reinforcement, walls, loads, strains, design, K-stiffness method.

Numerical Analysis of an Instrumented Steel-Reinforced Soil Wall

2015 ◽  
Vol 15 (1) ◽  
pp. 04014037 ◽  
Author(s):  
I. P. Damians ◽  
R. J. Bathurst ◽  
A. Josa ◽  
A. Lloret
Keyword(s):  
Numerical Analysis ◽  
Reinforced Soil ◽  
Reinforced Soil Wall
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