Applied Mathematics and Mechanics

, Volume 31, Issue 5, pp 617–622 | Cite as

Mechanical analysis of interaction between plant roots and rock and soil mass in slope vegetation

  • Zhi-xin Yan (言志信)Email author
  • Yun Song (宋 云)
  • Ping Jiang (江 平)
  • Hou-yu Wang (王后裕)


With the help of plant roots, slope vegetation makes the slope soil mass become a composite material of soil and roots, and thus enhances shear strength of the slope soil mass and stability of the slope. However, the related studies at present are still qualitative. In this paper, quantitative analysis of the interaction between roots and soil mass are made. By the analysis of the interaction between herbaceous plant roots including lateral roots of woody plants and rock and soil mass, a mechanical model of the interaction between frictional roots and soil is established, and its correctness is shown. A mechanical model of the interaction between anchorage root, namely, woody plant taproot, and soil is also established. The establishment of the models provides a useful means in quantitative analysis of the interaction between plant roots and soil, and has practical values.

Key words

slope vegetation vegetation for slope protection mechanical model frictional root anchorage root 

Chinese Library Classification


2000 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Zhi-xin Yan (言志信)
    • 1
    • 2
    Email author
  • Yun Song (宋 云)
    • 3
  • Ping Jiang (江 平)
    • 1
    • 2
  • Hou-yu Wang (王后裕)
    • 4
  1. 1.Ministry of EducationKey Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University)LanzhouP. R. China
  2. 2.School of Civil Engineering and MechanicsLanzhou UniversityLanzhouP. R. China
  3. 3.College of Civil Engineering and MechanicsCentral South University of Forestry and TechnologyChangshaP. R. China
  4. 4.Air Force Engineering Design & Research BureauBeijingP. R. China

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