Reliability and redundancy of the internal stability of reinforced soil walls

Abstract In the present study, a new methodology for reliability assessment of the internal stability of reinforced soil walls, taking into account the highly strength-redundant character of these structures, is suggested. Internal stability is probabilistically modeled as a series configuration and as an r-out-of-m configuration. Consideration of redundancy is formulated based on transitional probabilities and Markov stochastic processes. Following the suggested framework, the updated reliability of the structure, as failure propagates among the different layers of reinforcement, can be quantified. As an illustration of the developed methodology, an example of a reinforced soil wall is analyzed and results are discussed.

[1]  B. Munwar Basha,et al.  Reliability Based Earthquake Resistant Design for Internal Stability of Reinforced Soil Structures , 2011 .

[2]  G. Baecher Reliability and Statistics in Geotechnical Engineering , 2003 .

[3]  Robin Chowdhury,et al.  Probabilistic Model of Progressive Failure of Slopes , 1982 .

[4]  B. M. Basha,et al.  Seismic reliability assessment of internal stability of reinforced soil walls using the pseudo-dynamic method , 2011 .

[5]  Alfredo H.-S. Ang,et al.  Reliability of Structures and Structural Systems , 1968 .

[6]  S. Lacasse,et al.  Uncertainties in characterising soil properties , 1996 .

[7]  Robert V. Whitman,et al.  EVALUATING CALCULATED RISK IN GEOTECHNICAL ENGINEERING , 1984 .

[8]  Samer Barakat,et al.  Reliability based risk index for the design of reinforced earth structures , 2003 .

[9]  Ioannis E. Zevgolis,et al.  System reliability analysis of the external stability of reinforced soil structures , 2010 .

[10]  Richard J. Bathurst,et al.  LRFD Calibration for Steel Strip Reinforced Soil Walls , 2012 .

[11]  Ahmet H. Aydilek,et al.  Constriction Size of Geotextile Filters , 2005 .

[12]  G. L. Sivakumar Babu,et al.  Target reliability-based optimisation for internal seismic stability of reinforced soil structures , 2012 .

[13]  Richard J. Bathurst,et al.  Load and resistance factor design (LRFD) calibration for steel grid reinforced soil walls , 2011 .

[14]  A. M. Hasofer,et al.  Exact and Invariant Second-Moment Code Format , 1974 .

[15]  Ioannis E. Zevgolis,et al.  Probabilistic analysis of retaining walls , 2010 .

[16]  J. Christian,et al.  Reliability Applied to Slope Stability Analysis , 1994 .

[17]  Trevor L. L. Orr,et al.  Selection of characteristic values and partial factors in geotechnical designs to Eurocode 7 , 2000 .

[18]  Gerald A. Leonards,et al.  Investigation of Failures , 1982 .

[19]  B. Munwar Basha,et al.  Reliability assessment of internal stability of reinforced soil structures: A pseudo-dynamic approach , 2010 .

[20]  C. R. I. Clayton,et al.  Earth Pressure and Earth-Retaining Structures, Second Edition , 1993 .

[21]  Franco Oboni,et al.  Simplified use of the beta distribution and sensitivity to the bound locations , 1985 .

[22]  R. Rackwitz,et al.  New light on first- and second-order reliability methods , 1987 .

[23]  Craig H. Benson,et al.  RELIABILITY-BASED DESIGN FOR INTERNAL STABILITY OF MECHANICALLY STABILIZED EARTH WALLS , 2004 .

[24]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[25]  Milton E. Harr,et al.  Reliability-Based Design in Civil Engineering , 1987 .

[26]  Noriyuki Yasufuku,et al.  Reliability analysis of geosynthetics reinforced soil wall , 2001 .

[27]  D. V. Griffiths,et al.  Risk Assessment in Geotechnical Engineering , 2008 .

[28]  Kok-Kwang Phoon,et al.  Evaluation of Geotechnical Property Variability , 1999 .

[29]  G. R. Dodagoudar,et al.  Reliability analysis of reinforced soil walls under static and seismic forces , 2008 .

[30]  B. Munwar Basha,et al.  Reliability Based Design Optimization for Internal Stability of Reinforced Soil Structures Using Pseudo‐Static Method , 2009 .

[31]  K. Phoon,et al.  Characterization of Geotechnical Variability , 1999 .

[32]  Kok-Kwang Phoon,et al.  Engineering Judgment in the Evolution from Deterministic to Reliability-Based Foundation Design , 1996 .

[33]  Adnan A. Basma,et al.  Reliability Based Design of Reinforced Earth Structures , 1996 .

[34]  Richard J. Bathurst,et al.  Calibration concepts for load and resistance factor design (LRFD) of reinforced soil walls , 2008 .

[35]  Masata Sugito,et al.  RELIABILITY ANALYSIS OF REINFORCED EARTH RETAINING STRUCTURES SUBJECTED TO EARTHQUAKE LOADING , 1991 .

[36]  Yacoub M. Najjar,et al.  Reliability-Based Design of Reinforced Earth Retaining Walls , 1996 .