Fourcaud Thierry, Ji Jin-Nan, Zhang Zhi-Qiang, Stokes Alexia
CIRAD, UMR AMAP, Montpellier, 34000 France.
Ann Bot. 2008 May;101(8):1267-80. doi: 10.1093/aob/mcm245. Epub 2007 Oct 17.
The Finite Element Method (FEM) has been used in recent years to simulate overturning processes in trees. This study aimed at using FEM to determine the role of individual roots in tree anchorage with regard to different rooting patterns, and to estimate stress distribution in the soil and roots during overturning.
The FEM was used to carry out 2-D simulations of tree uprooting in saturated soft clay and loamy sand-like soil. The anchorage model consisted of a root system embedded in a soil block. Two root patterns were used and individual roots removed to determine their contribution to anchorage.
In clay-like soil the size of the root-soil plate formed during overturning was defined by the longest roots. Consequently, all other roots localized within this plate had no influence on anchorage strength. In sand-like soil, removing individual root elements altered anchorage resistance. This result was due to a modification of the shape and size of the root-soil plate, as well as the location of the rotation axis. The tap root and deeper roots had more influence on overturning resistance in sand-like soil compared with clay-like soil. Mechanical stresses were higher in the most superficial roots and also in leeward roots in sand-like soil. The relative difference in stresses between the upper and lower sides of lateral roots was sensitive to root insertion angle. Assuming that root eccentricity is a response to mechanical stresses, these results explain why eccentricity differs depending on root architecture.
A simple 2-D Finite Element model was developed to better understand the mechanisms involved during tree overturning. It has been shown how root system morphology and soil mechanical properties can modify the shape of the root plate slip surface as well as the position of the rotation axis, which are major components of tree anchorage.
近年来,有限元法(FEM)已被用于模拟树木的倾倒过程。本研究旨在运用有限元法确定不同根系模式下单个根系在树木锚固中的作用,并估算倾倒过程中土壤和根系中的应力分布。
运用有限元法对饱和软黏土和壤质砂土状土壤中树木的拔根过程进行二维模拟。锚固模型由嵌入土块的根系组成。采用两种根系模式,并去除单个根系以确定其对锚固的贡献。
在类黏土土壤中,倾倒过程中形成的根 - 土板的大小由最长的根系决定。因此,位于该板内的所有其他根系对锚固强度没有影响。在类砂土土壤中,去除单个根系单元会改变抗拔阻力。这一结果是由于根 - 土板的形状和大小以及旋转轴位置的改变所致。与类黏土土壤相比,主根和较深的根系对类砂土土壤的抗倾倒能力影响更大。在类砂土土壤中,最表层的根系以及背风面的根系中的机械应力更高。侧根上下两侧的应力相对差异对根系入土角度敏感。假设根系偏心是对机械应力的一种响应,这些结果解释了为什么偏心会因根系结构而异。
开发了一个简单的二维有限元模型,以更好地理解树木倾倒过程中涉及的机制。研究表明,根系形态和土壤力学性质如何改变根板滑动面的形状以及旋转轴的位置,而这些是树木锚固的主要组成部分。