An analytical fiber bundle model for pullout mechanics of root bundles

Journal of Geophysical Research: Earth Surface

Volumn 116, Issue 3, 2011, Pages

  Cohen, D ^a   Schwarz, M ^a,b   Or, D ^a  

^a ETH ZURICH   (Switzerland)

^b SWISS FEDERAL RESEARCH INSTITUTE WSL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL FRAMEWORK; DISPLACEMENT; ELASTIC MODULUS; EMPIRICAL ANALYSIS; NUMERICAL MODEL; POWER LAW; PULLOUT TEST; SLOPE STABILITY; SOIL MECHANICS; TENSILE STRENGTH;

HORDEUM; HORDEUM VULGARE; PISTACIA LENTISCUS; PISTACIA VERA;

EID: 80052042399     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2010JF001886     Document Type: Article

References (58)

1. Abe, K., and R. R. Ziemer (1991), Effects of tree roots on a shear zone: Modelling reinforced shear stress, Can. J. For. Res., 21, 1012-1019.
2. Abernethy, B., and I. D. Rutherfurd (2001), The distribution and strength of riparian tree roots in relation to riverbank reinforcement, Hydrol. Processes, 15, 63-79.
3. Ammann, M., A. Böll, C. Rickli, T. Speck, and O. Holdenrieder (2009), Significance of tree root decomposition for shallow landslides, For. Snow Lanscape Res., 82, 79-94.
4. Beckermann, G. W., and K. L. Pickering (2009), Engineering and evaluation of hemp fibre reinforced polyupropylene composites: Micromechanics and strength prediction modelling, Composites, Part A, 40, 210-217, doi:10.1016/j. compositesa.2008.11.005.
5. Bischetti, G. B., E. A. Chiaradia, T. Limonato, B. Speziali, B. Vitali, P. Vullo, and A. Zocco (2005), Root strength and root area ratio of forest species in Lombardy (Northern Italy), Plant Soil, 278, 11-22. (Pubitemid 43241029)
6. Bischetti, G. B., E. A. Chiadaria, T. Epis, and E. Morlotti (2009), Root cohesion of forest species in the Italian Alps, Plant Soil, 342, 71-89, doi:10.1007/s11104-009-9941-0.
7. Charlet, J., C. Baley, C. Morvan, J. P. Jernot, M. Gomina, and J. Bréard (2007), Characteristics of Hermès flax fibres as a function of their location in the stem and properties of the derived unidirectional composites, Composites: Part A, 38, 1912-1921, doi:10.1016/j.compositesa.2007. 03.006. (Pubitemid 47059014)
8. Cohen, D., P. Lehmann, and D. Or (2009), Fiber bundle model for multiscale modeling of hydromechanical triggering of shallow landslides, Water Resour. Res., 45, W10436, doi:10.1029/2009WR007889.
9. Commandeur, P. R., and M. R. Pyles (1991), Modulus of elasticity and tensile strength of Douglas-fir roots, Can. J. For. Res., 21, 48-52.
10. Curtin, W. A. (2000), Tensile strength of fiber-reinforced composites: III. Beyond the traditional Weibull model for fiber strengths, J. Compos. Mater., 34, 1301-1332, doi:10.1177/002199830003401503.
11. Curtin, W. A., and N. Takeda (1998), Tensile strength of fiber-reinforced composites: II. Application to polymer matrix composites, J. Compos. Mater., 32, 2060-2081. (Pubitemid 128649606)
12. Daniels, H. E. (1945), The statistical theory of the strength of bundles of threads. I, Proc. R. Soc. London, Ser. A, 183, 405-435.
13. Docker, B. B., and T. C. T. Hubble (2008), Quantifying root-reinforcement of river bank soils by four Australian tree species, Geomorphology, 100, 401-418.
14. Ekanayake, J. C., and C. J. Phillips (1999), A method for stability analysis of vegetated hillslopes: An energy approach, Can. Geotech. J., 36, 1172-1184. (Pubitemid 30264218)
15. Ennos, A. R. (1990), The anchorage of leek seedlings: The effect of root length and soil strength, Ann. Bot., 65, 409-416.
16. Fan, C. C., and C. F. Su (2008), Role of roots in the shear strength of rootreinforced soils with high moisture content, Ecol. Eng., 33, 157-166.
17. Fannin, R. J., A. Eliadorani, and J. M. T. Wilkinson (2005), Shear strength of cohesionless soils at low stress, Geotechnique, 55, 467-478. (Pubitemid 41167130)
18. Genet, M., A. Stokes, F. Salin, S. B. Mickovski, T. Fourcaud, J.-F. Dumail, and R. van Beek (2005), The influence of cellulose content on tensile strength in tree roots, Plant Soil, 278, 1-9, doi:10.1007/s11104-005- 8768-6. (Pubitemid 43241028)
19. Gray, D. H., and A. T. Leiser (1982), Biotechnical Slope Protection and Erosion Control, Van Nostrand Rheinhold, New York.
20. Gray, D. H., and H. Ohashi (1983), Mechanics of fiber reinforcementin sand, J. Geotech. Eng., 109, 335-353.
21. Gray, D. H., and R. B. Sotir (1996), Biotechnical and Soil Bioengineering Slope Stabilization: A Practical Guide for Erosion Control, Wiley- Interscience, New York.
22. Hales, T. C., C. R. Ford, T. Hwang, J. M. Vose, and L. E. Band (2009), Topographic and ecologic controls on root reinforcement, J. Geophys. Res., 114, F03013, doi:10.1029/2008JF001168.
23. Herrmann, H. J., and S. Roux (1990), Statistical Models for the Fracture of Disordered Media, North-Holland, Amsterdam.
24. Jones, B. F., and R. G. Duncan (1971), The effect of fibre diameter on the mechanical properties of graphite fibres manufactured from polyacrylonitrile and rayon, J. Mater. Sci., 6, 289-293.
25. Lee, K., B. Ludic, A. Magrez, J. W. Seo, G. A. D. Briggs, A. J. Kulik, and L. Forró (2007), Diameter-dependent elastic modulus supports the metastable-catalyst of growth of carbon nanotubes, Nano Lett., 7, 1598-1602, doi:10.1021/nl070502b. (Pubitemid 47140431)
26. Loades, K. W., A. G. Bengough, M. F. Bransby, and P. D. Hallett (2010), Planting density influence on fibrous root reinforcement of soils, Ecol. Eng., 36, 276-284, doi:10.1016/j.ecoleng.2009.02.005.
27. Michalowski, R. L., and A. Zhao (1996), Failure of fiber-reinforced granular soils, J. Geotech. Eng., 122, 226-234.
28. Mickovski, S. B., A. G. Bengough, M. F. Bransby, M. R. C. Davies, P. D. Hallet, and R. Sonnenberg (2007), Material stiffness, branching pattern and soil matric potential affect the pullout resistance of model root systems, Eur. J. Soil Sci., 58, 1471-1481. (Pubitemid 350135280)
29. Mickovski, S. B., P. D. Hallett, M. F. Bransby, M. C. R. Davies, R. Sonnenberg, and A. G. Bengough (2009), Mechanical reinforcement of soil by willow roots: Impacts of root properties and root failure mechanism, Soil Sci. Soc. Am. J., 73, 1276-1285, doi:10.2136/sssaj2008.0172.
30. Mitchell, J. K. (2005) Fundamentals of Soil Behavior, 3rd ed., John Wiley, Hoboken, N. J.
31. Montgomery, D. R., K. M. Schmidt, W. E. Dietrich, and J. McKean (2009), Instrumental record of debris flow initiation during natural rainfall: Implications for modeling slope stability, J. Geophys. Res., 114, F01031, doi:10.1029/2008JF001078.
32. O'Connell, R. A., and A. S. Yeiser (1954), Effect of crimp on mechanical properties of wet wool, Text. Res. J., 24, 629-632.
33. Operstein, V., and S. Frydman (2000), The influence of vegetation on soil strength, Ground Improv., 4, 81-89. (Pubitemid 30247759)
34. Otto, W. H. (1955), Relationship of tensile strength of glass fibers to diameter, J. Am. Ceram. Soc., 38, 122-125.
35. Pollen, N. (2007), Temporal and spatial variability of root reinforcement in stream banks: Accounting for soil shear strength and moisture, Catena, 69, 197-205. (Pubitemid 46329276)
36. Pollen, N., and A. Simon (2005), Estimating the mechanical effects of riparian vegetation on stream bank stability using a fiber bundle model, Water Resour. Res., 41, W07025, doi:10.1029/2004WR003801. (Pubitemid 41197304)
37. Pollen, N., A. Simon, and A. Collison (2004), Advances in assessing the mechanical and hydrologic effects of riparian vegetation on stream bank stability, in Riparian Vegetation and Fluvial Geomorphology, Water Sci. Appl. Ser., vol. 8, edited by S. J. Bennett and A. Simon, pp. 125-139, AGU, Washington, D. C.
38. Pollen-Bankhead, N., and A. Simon (2009), Enhanced application of rootreinforcement algorithms for bank-stability modeling, Earth Surf. Processes Landforms, 34, 471-480, doi:10.1002/esp.1690.
39. Preti, F., and F. Giadrossich (2009), Root reinforcement and slope bioengineering stabilization by Spanish Broom (Spartium junceum L.), Hydrol. Earth Syst. Sci., 13, 1713-1726.
40. Raischel, F., F. Kun, and H. J. Herrmann (2006), Failure process of a bundle of plastic fibers, Phys. Rev. E, 73, 066101, doi:10.1103/PhysRevE.73. 066101.
41. Riestenberg, M. M., and S. Sovonick-Dunford (1983), The role of woody vegetation in stabilizing slopes in the Cincinnati area, Ohio, Geol. Sol. Am. Bull., 94, 506-518.
42. Rifai, S. M., and C. J. Miller (2009), Theoretical assessment of increased tensile strength of fibrous soil undergoing desiccation, J. Geotech. Geoenviron. Eng., 135, 1857-1862.
43. Sadek, S., S. S. Najjar, and F. Freiha (2010), Shear strength of fiber-reinforced sands, J. Geotech. Geoenviron. Eng., 136, 490-499, doi:10.1061(ASCE)GT.1943-5606.0000235.
44. Scanlan, C. A., and C. Hinz (2010), Using radius frequency distribution functions as a metric for quantifying root systems, Plant Soil, 332, 475-493, doi:10.1007/s11104-010-0314-5.
45. Schmidt, K. M., J. J. Roering, J. D. Stock, W. E. Dietrich, D. R. Montgomery, and T. Schaub (2001), The variability of root cohesion as an influence on shallow landslide susceptibility in the Oregon Coast Range, Can. Geotech. J., 38, 995-1024. (Pubitemid 34004756)
46. Schwarz, M., D. Cohen, and D. Or (2010a), Root-soil mechanical interactions during pullout and failure of root bundles, J. Geophys. Res., 115, F04035, doi:10.1029/2009JF001603.
47. Schwarz, M., F. Preti, F. Giadrossich, P. Lehmann, and D. Or (2010b), Quantifying the role of vegetation in slope stability: A case study in Tuscany (Italy), Ecol. Eng., 36, 285-291, doi:10.1016/j.ecoleng.2009. 06.014.
48. Schwarz, M., D. Cohen, and D. Or (2011), Pullout tests of root analogs and natural root bundles in soil: Experiments and modeling, J. Geophys. Res., 116, F02007, doi:10.1029/2010JF001753.
49. Silva dos Santos, A. P., N. C. Consoli, K. S. Heineck, and M. R. Coop (2010), High-pressure isotropic compression tests on fiber-reinforced cemented sand, J. Geotech. Geoenviron. Eng., 136, 885-890, doi:10.1061/(ASCE)GT.1943- 5606.0000300.
50. Sornette, D. (1989), Elasticity and failure of a set of elements loaded in parallel, J. Phys., 22, L243-L250.
51. Thomas, R. E., and N. Pollen-Bankhead (2010), Modeling rootreinforcement with a fiber-bundle model and Monte Carlo simulation, Ecol. Eng., 36, 47-61. doi:10.1016/j.ecoleng.2009.09.008.
52. Tosi, M. (2007), Root tensile strength relationships and their slope stability implications of three shrubs species in the Northern Apennines (Italy), Geomorphology, 87, 268-283. (Pubitemid 46760466)
53. Virk, A. S., W. Hall, and J. Summerscales (2009), Multiple Data Set (MDS) weak-link scaling analysis of jute fibres, Composites, Part A, 40, 1764-1771, doi:10.1016/j.compositesa.2009.08.022.
54. Waldron, L. J. (1977), The shear resistance of root-permeated homogeneous and stratified soil, Soil Sci. Soc. Am. J., 41, 843-849. (Pubitemid 8564104)
55. Waldron, L. J., and S. Dakessian (1981), Soil reinforcement by roots: calculation of increased soil shear resistance from root properties, Soil Sci., 132, 427-435. (Pubitemid 12256868)
56. Wu, T. H., W. P. McKinnell, and D. N. Swanston (1979), Strength of tree roots and landslides on Price of Wales Island, Alaska, Can. Geotech. J., 19-33.
57. Zhou, Y., D. Watts, Y. Li, and X. Cheng (1998), A case study of effect of lateral roots of Pinus yunnanensis on shallow soil reinforcement, For. Ecol. Manage., 103, 107-120. (Pubitemid 28195364)
58. Zornberg, J. G. (2002), Discrete framework for limit equilibrium analysis for fibre-reinforced soil, Geotechnique, 53, 593-604. (Pubitemid 35212772)