Analysis of transversely isotropic layered soils under an elastic rectangle plate

AI Zhi-yong; CAO Guo-jun

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Analysis of transversely isotropic layered soils under an elastic rectangle plate

更新时间：2026-06-25

- Analysis of transversely isotropic layered soils under an elastic rectangle plate
- Vol. 32, Issue S2, (2011)
- 作者机构：
  
  1. 同济大学地下建筑与工程系,上海,200092
  2. 同济大学教育部岩土及地下工程重点实验室,上海,200092
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU470
- Online First：26 August 2011，
  
  Published：2011
- 稿件说明：
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AI Zhi-yong, CAO Guo-jun. Analysis of transversely isotropic layered soils under an elastic rectangle plate[J]. 2011, 32(S2).
DOI：

AI Zhi-yong, CAO Guo-jun. Analysis of transversely isotropic layered soils under an elastic rectangle plate[J]. 2011, 32(S2). DOI：

摘要

利用弹性矩形板与多层地基表面的竖向位移协调条件与光滑接触条件，由横观各向同性多层地基应力与位移非耦合的传递矩阵解，推导出弹性矩形板下竖向应力和位移的解析解。在此基础上，编制了相应的程序，并进行了数值计算。计算结果表明：矩形板刚度对板底竖向位移及板中心下的竖向应力有着较为显著的影响；板底竖向位移及板中心下的竖向应力随着板刚度的增加而减小，相同荷载作用下横观各向同性地基与均匀各向同性地基模型的计算结果差异较大，实际工程中很有必要采用更符合土体性质的横观各向同性地基模型

Abstract

Based on the continuity of vertical displacements and the smooth contact conditions between the transversely isotropic layered soils and the elastic rectangular plate

the analytical solution of transversely isotropic soils under the elastic rectangular plate can be obtained by using the uncoupled transfer matrix solutions for displacements and stresses of transversely isotropic layered soils. Numerical calculation and analysis are carried out by the computer program. The numerical results show that the rigidity of the elastic rectangular plate has a great influence on the vertical displacements under the rectangular plate and the normal stresses under the center of the rectangular plate

and they decrease with the growth of the rigidity of the elastic plate. It is also shown that the calculation results for the transversely isotropic layered soils are quite different from those for the homogeneously isotropic layered soils under the same load

so it is necessary to adopt the transversely isotropic foundation model which is more accord with soil’s properties in practical projects.

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