Study on calculation of consolidation problem using nonlinear local point interpolation method

WANG Zhi-liang; YU Feng; YIN Zong-ze

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Study on calculation of consolidation problem using nonlinear local point interpolation method

更新时间：2026-06-25

- Study on calculation of consolidation problem using nonlinear local point interpolation method
- Vol. 25, Issue 2, (2004)
- 作者机构：
  
  1. 河海大学土木工程学院,江苏,南京,210098
  2. 安徽省电力设计院,安徽,合肥,230022
- 作者简介：
- 基金信息：
- DOI：
  CLC： TB115
- Online First：15 July 2014，
  
  Published：2004
- 稿件说明：
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WANG Zhi-liang, YU Feng, YIN Zong-ze. Study on calculation of consolidation problem using nonlinear local point interpolation method[J]. 2004, 25(2).
DOI：

WANG Zhi-liang, YU Feng, YIN Zong-ze. Study on calculation of consolidation problem using nonlinear local point interpolation method[J]. 2004, 25(2). DOI：

摘要

局部点插值法是一种新型的无单元法，该法构造出的位移和孔隙水压力的形函数具有函数特性，所以，本质边界条件很易处理。首先，介绍了基本理论，给出求解比奥固结问题的主要公式。其次，对复层软基堆载引起的固结和沉降问题作了计算，其中节点采用均匀分布方式，且为了考虑土体的非线性特性计算程序中耦合了邓肯-张模型。最后，把计算值与有限元法、一维固结理论计算结果进行了对比。结果表明该法精度高，令人满意。

Abstract

Local point interpolation method is a new type meshless method. Because its shape functions for displacements and pore water pressures possess delta function property

the essential boundary conditions can be imposed easily. After the basic theory is introduced and the main equations for solving Biot’s consolidation problem are developed

the consolidation and settlement of one multi-layer soft ground subjected to heaped loadings are calculated with it. Furthermore

the famous Duncan-Chang model is adopted in consideration of nonlinear properties of soil

and the uniform point distribution mode is selected. At last

comparisons with the results of one-dimensional consolidation method and FEM show that this method is more accurate and satisfying.

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