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Robust design optimization of retaining wall backfilled with shredded tire in the face of earthquake hazards

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Abstract

A systematic robust design optimization methodology is presented in this study for cantilever retaining wall backfilled with shredded tire in the face of earthquake hazards. Regarding the merits of application of shredded tire backfill in seismically active areas, the uncertainties in properties of this material (e.g., friction angle and cohesion) as well as uncertainties in earthquake load (e.g., peak ground acceleration) necessitate examining the robustness of design along cost efficiency in geotechnical design procedures. The wall tip deflection was treated as the response of concern for which a response surface was developed based on the design and random (uncertain) variables. Coupling with Monte Carlo simulations, the optimization in terms of cost and standard deviation of response as a measure of robustness yielded a set of preferred designs, or Pareto front, and the final optimal design was determined via selection procedures based on knee point concept.

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References

  • Ahmed I, Lovell CW (1993) Rubber soil as light weight geomaterials. Transp Res Rec:61–70

  • Andrews DW, and Guay MA (1996) “Tire chips in a superfund landfill cap: a case history of the first use of a tire chip drain layer.” Nineteenth International Madison Waste Conference, Dept. of Engineering Professional Development, University of Wisconsin-Madison

  • Babu GLS, Basha BM (2008) Optimum design of cantilever retaining walls using target reliability approach. Int J Geomechanics 8:240–252

    Google Scholar 

  • Balunaini U, Yoon S, Prezzi M and Salgado R (2009) “Final report: tire shred backfill in mechanically stabilized earth wall application.” FHWA/NA/JTRP, 2008/17

  • Black BA, Shakoor A (1994) A geotechnical investigation of soil-tire mixtures for engineering applications. In: Proceedings of the first international conference on environmental Geotechnics, Bitech publications, pp 617–623

    Google Scholar 

  • Bosscher PJ, Edil TB, Kuraoka S (1997) Design of highway embankments using tire chips. J Geotech Geoenviron 123(4):295–304

    Google Scholar 

  • Bressette T (1984) “Used tire material as an alternate permeable aggregate.” State of California, Department of Transportation, Division of Engineering Services, Office of Transportation Laboratory, Sacramento, CA

  • Camp CV, Akin A (2011) Design of retaining walls using big bang–big crunch optimization. J Struct Eng 138(3):438–448

    Google Scholar 

  • Cecich V, Gonzales I, Hoisaeter A, Williams J and Reddy K (1996) “Use of shredded tire as lightweight backfill material for retaining structures.” Waste Management & Research, No 14, pp. 433–451

  • Ceranic B, Fryer C, Baines RW (2001) An application of simulated annealing to the optimum design of reinforced concrete retaining structures. Comput Struct 79(17):1569–1581

    Google Scholar 

  • Cornell CA, Banon H, Shakal AF (1979) Seismic motion and response prediction alternatives. Earthq Eng Struct Dyn 7(4):295–315

    Google Scholar 

  • Cosgrove TA (1995) “Interface strength between tire chips and geomembrane for use as a drainage layer in a landfill cover.” Proceedings of Geosynthetics'95, Industrial Fabrics Association, St Paul, MN, 3:1157–1168

  • Dang HP, Lin HD, Juang CH (2014) Analyses of braced excavation considering parameter uncertainties using a finite element code. J Chin Inst Eng 37(2):141–151

    Google Scholar 

  • Djadouni H, Trouzine H, Correia AG, da Silva Miranda TF (2019) Life cycle assessment of retaining wall backfilled with shredded tires. Int J Life Cycle Assess 24(3):581–589

    Google Scholar 

  • Deb K, Pratap A, Agarwal S (2002) A fast and elitist multiobjective genetic algorithm NSGA-II. Evol Comput 6(2):182–197

    Google Scholar 

  • Duffy DP (1995) Using tire chips as a leachate drainage layer. Waste Age 26(9):113–122

    Google Scholar 

  • Dwyer DF (2008) Technical report: tire shred initiative: summary report. State of New York Department of Transportation, Geotechnical Engineering Bureau

    Google Scholar 

  • Eldin NN, Senouci AB (1992) Use of scrap tires in road construction. J Constr Eng Manag 118(3):561–576

    Google Scholar 

  • Edil TB, Bosscher PJ (1994) Engineering properties of tire chips and soil mixtures. Geotech Test J 17(4):453–464

    Google Scholar 

  • Foose GJ, Benson CH, Bosscher PJ (1996) Sand reinforced with shredded waste tires. J Geotech Eng 122:760–767

    Google Scholar 

  • Gharegrat H (1993) Finite element analyses of pavements underlain by a tire chip layer and of retaining walls with tire chip backfill. Department of Civil Engineering, University of Maine, M.S. Thesis

    Google Scholar 

  • Gebhardt MA (1997) Shear strength of shredded tires as applied to the design and construction of a shredded tire stream crossings. Iowa State University, MS Thesis

    Google Scholar 

  • Hataf N, Rahimi MM (2006) Experimental investigation of bearing capacity of sand reinforced with randomly distributed tire shreds. Construction and Building Materials, No 20:910–916

    Google Scholar 

  • Head D, Picornell M and Nash PT (2001) “Report: El Paso embankment fill with shredded tire.” Texas Department of Transportation

  • Huang Y, Hu H, Xiong M (2018) Probability density evolution method for seismic displacement-based assessment of earth retaining structures. Eng Geol 234:167–173

    Google Scholar 

  • Huggins L (2014) Numerical and reliability analysis of gravity cantilever retaining walls backfilled with shredded tires subjected to seismic loads. Clemson University, Clemson, SC, M.S. Thesis

    Google Scholar 

  • Humphrey DN, Sandford TC, Cribbs MM, Manion WP (1993) Shear strength and compressibility of tire chips for use as retaining wall backfill. Transp Res Rec 14:433–451

    Google Scholar 

  • Juang CH, Wang L, Atamturktu S, and Luo Z (2012) Reliability-based robust and optimal design of shallow foundations in cohesionless soil in the face of uncertainty. J Geoengin 7(3):75–87

  • Juang CH, Liu Z and Atamturktur HS (2013a) “Reliability-based robust geotechnical design of retaining walls.” Sound Geotechnical Research to Practice, pp. 514–524

  • Juang CH, Wang L, Liu Z, Ravichandran N, Huang H, Zhang J (2013b) Robust geotechnical design of drilled shafts in sand: new design perspective. J Geotech Geoenviron 139(12):2007–2019

    Google Scholar 

  • Khoshnevisan S, Gong W, Wang L and Juang CH (2014) “Robust design in geotechnical engineering–an update.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 8(4), 217–234

  • Khuri AI, Mukhopadhyay S (2010) Response surface methodology. WIREs Comput Stat 2:128–149

    Google Scholar 

  • Lee JH, Salgado R, Bernal A, Lovell CW (1999) Shredded tires and rubber sand as lightweight backfill. J Geotech Geoenviron 125(2):132–141

    Google Scholar 

  • Li DQ, Zheng D, Cao ZJ, Tang XS, Phoon KK (2016) Response surface methods for slope reliability analysis: review and comparison. Eng Geol 203:3–14

    Google Scholar 

  • Liu Z, Juang CH, Atamturktur S (2013) Confidence level-based robust design of cantilever retaining walls in sand. Comput Geotech 52:16–27

    Google Scholar 

  • Luo Z, and Hu B (2019) “Robust design of energy piles using a fuzzy set-based point estimate method.” Cold Regions Science and Technology, 102874

  • Luo Z, Hu B, Pan E (2019) Robust design approach for flexible pavements to minimize the influence of material property uncertainty. Constr Build Mater 225:332–339

    Google Scholar 

  • Masad E, Taha R, Ho C, Papagiannakis T (1996) Engineering properties of tire/soil mixtures as a lightweight fill material. Geotech Test J 19(3):297–304

    Google Scholar 

  • Moo-Young H, Sellasie K, Zeroka D, Sabins G (2003) Physical and chemical properties of tire shreds for use in construction. J Environ Eng 129(10):921–929

    Google Scholar 

  • Mononobe H (1924) Considerations into earthquake vibrations and vibration theories. J Japan Soc Civil Eng 10(5):1063–1094

    Google Scholar 

  • Moriasi DN, Arnold JG, Van Liew MW, Bingner RL, Harmel RD, Veith TL (2007) Model evaluation guidelines for systematic quantification of accuracy in watershed simulations. Trans ASABE 50(3):885–900

    Google Scholar 

  • Okabe S (1924) General theory on earth pressure and seismic stability of retaining wall and dam. Proc Civil Eng Soc Japan 10(6):1277–1323

    Google Scholar 

  • Papazafeiropoulos G, Plevris V, Papadrakakis M (2013) Optimum design of cantilever walls retaining linear elastic backfill by use of genetic algorithm. COMPDYN 2013

  • Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624

    Google Scholar 

  • Phoon KK, Ching J (2014) Risk and reliability in geotechnical engineering. CRC Press

  • Pei Y, Xia Y (2012) Design of reinforced cantilever retaining walls using heuristic optimization algorithms. Procedia Earth Planet Sci 5:32–36

    Google Scholar 

  • Peng X, Li DQ, Cao ZJ, Gong W, Juang CH (2017) Reliability-based robust geotechnical design using Monte Carlo simulation. Bull Eng Geol Environ 76(3):1217–1227

    Google Scholar 

  • PLAXIS (2019) PLAXIS 2D reference manual; Bentley Systems International Limited, Dublin, Ireland

  • Rahbari P, Ravichandran N and Juang CH (2016) “Reliability-based robust geotechnical design of retaining wall backfilled with shredded tire under dynamic loads.” Geotechnical and Structural Engineering Congress, Phoenix, Arizona

  • Ravichandran N, Huggins L (2013) Seismic response of gravity-cantilever retaining wall backfilled with shredded tire. Geotech Eng J SEAGS & AGSSEA 44(3):14–24

    Google Scholar 

  • RecycleNet. (2019) Retrieved from www.recyclenet.com. Accessed 18 April 2019

  • Reddy SB, Krishna AM (2015) Recycled Tire chips mixed with sand as lightweight backfill material in retaining wall applications: an experimental investigation. Int J Geosynthetics Ground Eng 1(4):1–11

    Google Scholar 

  • Reddy KR, Stark TD, and Marella A (2009) “Beneficial use of shredded tires as drainage material in cover systems for abandoned landfills.” Practice Periodical of Hazardous, Toxic, and Radioactive Waste Management, 14(1), 47–60

  • Saribas A, Erbatur F (1996) Optimization and sensitivity of retaining structures. J Geotech Eng 122(8):649–656

    Google Scholar 

  • Shalaby A, Khan RA (2005) Design of unsurfaced roads constructed with large-sized shredded rubber tires: a case study. Resour Conserv Recycl 44:318–332

    Google Scholar 

  • Shrestha S, Ravichandran N, Raveendra M, Attenhofer JA (2016) Design and analysis of retaining wall backfilled with shredded tire and subjected to earthquake shaking. Soil Dyn Earthq Eng 90:227–239

    Google Scholar 

  • Siyahi B, Arslan H (2008) Earthquake induced deformation of earth dams. Bull Eng Geol Environ 67(3):397–403

    Google Scholar 

  • Song L (2011) “NGPM - A NSGA-II program in Matlab.” Aerospace Structural Dynamics Research Laboratory, College of Astronautics, Northwestern Polytechnical University, China

  • Tang L, Cong S, Xing W, Ling X, Geng L, Nie Z, Gan F (2018) Finite element analysis of lateral earth pressure on sheet pile walls. Eng Geol 244:146–158

    Google Scholar 

  • Tatlisoz N, Edil TB, Benson C (1998) Interaction between reinforcing geosynthetics and soil-tire chip mixtures. J Geotech Geoenviron Eng 124(11):1109–1119

    Google Scholar 

  • Tweedie JJ, Humphrey DN, Sandford TC (1998) Tire shreds as lightweight retaining wall backfill: active conditions. J Geotech Geoenviron Eng 124:1061–1070

    Google Scholar 

  • Vecoplan LLC (2019) Retrieved from www.vecoplanllc.com. Accessed 1 Oct 2019

  • Warith MA, Evgin E, Benson PAS (2004) Suitability of shredded tires for use in landfill leachate collection systems. Waste Management, No 24:967–979

    Google Scholar 

  • Wang L, Hwang JH, Juang CH, Atamturktur S (2013) Reliability-based design of rock slopes—a new perspective on design robustness. Eng Geol 154:56–63

    Google Scholar 

  • Wang L, Juang CH, Atamturktur S, Gong W, Khoshnevisan S, Hsieh HS (2014) Optimization of design of supported excavations in multi-layer strata. J GeoEng 9(1):1–12

    Google Scholar 

  • Wang Z, Yu Y, Sun H, Lü Q, Shang Y (2019) Robust optimization of the constructional time delay in the design of double-row stabilizing piles. Bull Eng Geol Environ:1–15

  • Wu W, Benda C, Cauley R (1997) Triaxial determination of shear strength of tire chips. J Geotech Geoenviron Eng ASCE 123(5):479–482

    Google Scholar 

  • Xu YS, Shen SL, Ma L, Sun WJ, Yin ZY (2014) Evaluation of the blocking effect of retaining walls on groundwater seepage in aquifers with different insertion depths. Eng Geol 183:254–264

    Google Scholar 

  • Yang S, Lohnes RA, Kjartanson BH (2002) Mechanical properties of shredded tires. Geotech Test J 25(1):44–52

    Google Scholar 

  • Yepes V, Alcala J, Perea C, González-Vidosa F (2008) A parametric study of optimum earth-retaining walls by simulated annealing. Eng Struct 30(3):821–830

    Google Scholar 

  • Youwai S, Bergado DT (2003) Strength and deformation characteristics of shredded rubber tire-sand mixtures. Can Geotech J 40(2):254–264

    Google Scholar 

  • Yu Y, Shen M, Sun H, Shang Y (2019) Robust design of siphon drainage method for stabilizing rainfall-induced landslides. Eng Geol 249:186–197

    Google Scholar 

  • Zhang J, Wang H, Huang HW, Chen LH (2017) System reliability analysis of soil slopes stabilized with piles. Eng Geol 229:45–52

    Google Scholar 

  • Zheng D, Li DQ, Cao ZJ, Tang XS, Phoon KK (2017) An analytical method for quantifying the correlation among slope failure modes in spatially variable soils. Bull Eng Geol Environ 76(4):1343–1352

    Google Scholar 

  • Zhou XP, Huang XC (2018) Reliability analysis of slopes using UD-based response surface methods combined with LASSO. Eng Geol 233:111–123

    Google Scholar 

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Funding

This research was supported by Glenn Department of Civil Engineering, Clemson University. The second author also wishes to acknowledge the support from the National Science Foundation (Award #1900445).

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Authors and Affiliations

  1. Glenn Department of Civil Engineering, Clemson University, Clemson, SC, 29634, USA

    Nadarajah Ravichandran, Parishad Rahbari & C. Hsein Juang

  2. Department of Civil Engineering, University of the District of Columbia, Washington, DC, 20008, USA

    Lei Wang

  3. Department of Civil Engineering, National Central University, Chung-Li City, Tao-Yuan, 32011, Taiwan

    C. Hsein Juang

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  1. Nadarajah Ravichandran
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  4. C. Hsein Juang
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Correspondence to Lei Wang.

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Ravichandran, N., Wang, L., Rahbari, P. et al. Robust design optimization of retaining wall backfilled with shredded tire in the face of earthquake hazards. Bull Eng Geol Environ 80, 1351–1363 (2021). https://doi.org/10.1007/s10064-020-02038-9

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