Simple models for the estimation of shearing resistance angle of uniform sands

Angle of shearing resistance is the key for the strength analysis of soils, since this parameter is commonly used for the description of shear strength of a soil. Many factors including soil mineralogy, particle shape, grain size distribution, void ratio, organic content, as well as water existence are effective on this parameter. Use of shear box tests for the determination of angle of shearing resistance is prevalent in geotechnical engineering practice, since it is rather successful in identification of shear strength of granular media. However, for cases in which shear box tests exhibit unreliable outcomes, alternative methods for the determination of this parameter could be beneficial. In this investigation, a number of nonlinear multiple regression, adaptive neuro-fuzzy inference systems, and artificial neural network (ANN) models are employed for the estimation of estimating the angle of shearing resistance of uniform sands by means of several grain size distribution, particle shape, and density parameters. Data including results of 132 shear box tests, particle shape identifiers, and grain size distribution parameters on uniform sands are used in the models. In training sessions, results of 104 tests are selected randomly and the results of remaining 28 tests are considered for testing sessions. The results revealed that the performance of a simple ANN architecture is sufficient for pre-evaluation of shearing resistance angle of uniform sands with the help of selected parameters. Since generalization of these models necessitates vast amount of experiments, great care should be dedicated on the assessment of similarity of training as well as testing data.

[1]  Joe W Button,et al.  Unified Imaging Approach for Measuring Aggregate Angularity and Texture , 2000 .

[2]  Seung-Rae Lee,et al.  An approach to estimate unsaturated shear strength using artificial neural network and hyperbolic formulation , 2003 .

[3]  James H. Garrett,et al.  Knowledge-Based Modeling of Material Behavior with Neural Networks , 1992 .

[4]  Raúl Rojas,et al.  Neural Networks - A Systematic Introduction , 1996 .

[5]  Rajat Gupta,et al.  Geotechnical applications of landsat image analysis of Bhakra Dam Reservoir, India , 1982 .

[6]  Dayakar Penumadu,et al.  Triaxial compression behavior of sand and gravel using artificial neural networks (ANN) , 1999 .

[7]  Karim C. Abbaspour,et al.  Estimation of surface shear strength in Zagros region of Iran - a comparison of artificial neural networks and multiple-linear regression models. , 2009 .

[8]  E. H. Mamdani,et al.  An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller , 1999, Int. J. Man Mach. Stud..

[9]  Stephen L. Chiu,et al.  Fuzzy Model Identification Based on Cluster Estimation , 1994, J. Intell. Fuzzy Syst..

[10]  David Frost,et al.  Virtual geotechnical laboratory experiments using a simulator , 2000 .

[11]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[12]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .

[13]  D. Wright,et al.  Crustal fissuring on the crest of the southern East Pacific Rise , 2002 .

[14]  J. Santamarina,et al.  Closure of "Particle Shape Effects on Packing Density, Stiffness, and Strength: Natural and Crushed Sands" , 2006 .

[15]  Wichai Hanittinan Resilient modulus prediction using neural network algorithm , 2007 .

[16]  C.-Y. Kuo,et al.  Automated Determination of the Distribution of Local Void Ratio from Digital Images , 1996 .

[17]  Kenichi Soga,et al.  CREEP, AGEING AND MICROSTRUCTURAL CHANGE IN DENSE GRANULAR MATERIALS , 2003 .

[18]  C. Anderson‐Cook The Cambridge Dictionary of Statistics (2nd ed.) , 2003 .

[19]  P. Werbos,et al.  Beyond Regression : "New Tools for Prediction and Analysis in the Behavioral Sciences , 1974 .

[20]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[21]  Antonio Saa,et al.  Fractal and multifractal analysis of pore-scale images of soil , 2006 .

[22]  D. Goodin The cambridge dictionary of statistics , 1999 .

[23]  Musharraf Zaman,et al.  Modelling of shearing behaviour of a residual soil with Recurrent Neural Network , 1998 .

[25]  B. Everitt The Cambridge Dictionary of Statistics , 1998 .

[26]  Bezalel C. Haimson,et al.  True triaxial strength of the KTB amphibolite under borehole wall conditions and its use to estimate the maximum horizontal in situ stress , 2002 .

[27]  Rui Zhao,et al.  Stress-Strain Modeling of Sands Using Artificial Neural Networks , 1995 .

[28]  A. Burak Göktepe,et al.  Shear strength estimation of plastic clays with statistical and neural approaches , 2008 .

[29]  M. Moro,et al.  Subsidence induced by urbanisation in the city of Rome detected by advanced InSar technique and geotechnical investigations , 2008 .

[30]  Imad A. Basheer,et al.  Selection of Methodology for Neural Network Modeling of Constitutive Hystereses Behavior of Soils , 2000 .

[31]  L. J. Anthony,et al.  The Cambridge Dictionary of Statistics (2nd ed.) , 2003 .

[32]  L. Vallejo,et al.  Fractal analysis of the roughness and size distribution of granular materials , 1997 .

[33]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[34]  A. Sezer,et al.  Effect of particle shape on density and permeability of sands , 2010 .

[35]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[36]  Hiroyuki Watanabe,et al.  Application of a fuzzy discrimination analysis for diagnosis of valvular heart disease , 1994, IEEE Trans. Fuzzy Syst..