大变形固结理论最终沉降量分析

›› 2006, Vol. 27 ›› Issue (S2): 45-49.

大变形固结理论最终沉降量分析

丁洲祥¹，朱合华¹，龚晓南²

1. 同济大学地下建筑与工程系上海 200092；2. 浙江大学岩土工程研究所，杭州 310027

收稿日期:2006-06-28 发布日期:2006-12-16
作者简介:丁洲祥，男，1976年生，博士，从事隧道与地下结构工程、岩土力学及数值方法等方面的研究
基金资助:
中国博士后科学基金资助项目（No. 20060400177）；国家自然科学基金项目（No. 50578143）。

Study on prediction of ultimate settlement using finite-strain consolidation theory

DING Zhou-xiang¹, ZHU He-hua¹, GONG Xiao-nan²

1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2.Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2006-06-28 Published:2006-12-16

摘要/Abstract

摘要： 大变形理论的力学机制较为严格，但由于其固有的复杂性和非线性，目前对大小变形理论计算的沉降量差别仍存在争议。基于连续介质力学基本原理，采用土力学符号约定推导了T.L.描述的大变形固结增量有限元方程组及其总应力分析形式。结合算例，分析了材料线性化和材料几何双线性化简化算法的影响，探讨了较合适的荷载增量步长，讨论了大、小变形法计算的最终沉降量差别。结果表明，荷载增量步长对两种线性化法计算结果较为敏感；大变形法计算的沉降量偏大于小变形结果，这可能是由几何非线性问题的“拉压刚度不同”效应引起；初应力矩阵对最终沉降量有较大影响等。

关键词: 最终沉降量, 大变形固结理论, 小变形固结理论, 有限元法, 连续介质力学

Abstract: Although the mechanism of finite strain consolidation (FSC) theory is rigorous, its inherent complexity and non-linearity lead to the present controversy on the difference between foundation settlements predicted by FSC theory and by small strain (SS) theory. Based on fundamentals of continuum mechanics, the FSC incremental finite element (FE) equations with total Lagrangian (TL) description are formulated using soil mechanics sign convention; and the corresponding reduced FE equations for total stress analysis are also obtained. Through a case study, the influence of material linearization method and material geometrical bi-linearization method on the results of FSC theory is analyzed with the discussion of the appropriate length of sub-load step, and the difference between the ultimate settlements by FSC theory and SS theory are probed. The results show that the predicted settlements by linearization methods are sensitive to the length of sub-load step; the settlement by FSC theory is larger than that by SS theory, due to the effect of different stiffnesses under tensile and compressed state in geometrically nonlinearty problems; the initial stress matrix plays an important role in calculating the ultimate settlement by FSC theory, etc.

Key words: ultimate settlement, finite-strain consolidation theory, small-strain consolidation theory, finite element method, continuum mechanics

中图分类号:

TU433

丁洲祥，朱合华，龚晓南，. 大变形固结理论最终沉降量分析[J]. , 2006, 27(S2): 45-49.

DING Zhou-xiang , ZHU He-hua , GONG Xiao-nan，. Study on prediction of ultimate settlement using finite-strain consolidation theory[J]. , 2006, 27(S2): 45-49.

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