平面应变状态下土体的软化特性与本构模拟

›› 2009, Vol. 30 ›› Issue (3): 617-622.

平面应变状态下土体的软化特性与本构模拟

钱建固^1,3，吕玺琳^{2, 3}，黄茂松^{2, 3}

1.中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，武汉 430071；2.同济大学地下建筑与工程系，上海 200092； 3.同济大学岩土及地下工程教育部重点实验室，上海 200092

收稿日期:2007-06-21 出版日期:2009-03-10 发布日期:2011-01-28
作者简介:钱建固，男，1972年生，博士，副教授，从事应变局部化理论与岩土塑性力学的研究工作。
基金资助:
国家自然科学基金资助项目（No. 10402029）；上海市自然科学基金项目（No.08ZR1420100）；中科院武汉岩土力学研究所岩土力学重点实验室资助课题（No. Z110401）。

Softening characteristics of soils and constitutive modeling under plane strain condition

QIAN Jian-gu ^1,3, LÜ Xi-lin ^{2, 3}, HUANG Mao-song ^{2, 3}

1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 3. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

Received:2007-06-21 Online:2009-03-10 Published:2011-01-28

摘要/Abstract

摘要：

在平面应变状态下，由于土体在应力峰值状态出现了应变局部化现象，从而变形模式失去了原有的均匀性而呈现软化特性。为此，采用常规的弹塑性本构模型模拟土体峰值前的均匀变形，对应力峰值状态则采用非共轴的分叉理论进行预测，而土样在峰值后出现不均匀变形的宏观力学特性则通过复合体理论加以描述。理论预测表明，构建这样的软化本构模型能真实反映平面应变状态下的应力-应变特性。理论分析还表明，经典的变形分叉理论中引入非共轴弹塑性模型，才能准确地预测土体的应力峰值，这是构建平面应变状态下土体软化本构模型的关键所在。

关键词: 平面应变, 应变软化, 非共轴性, 变形分叉

Abstract:

Under plane strain condition, soil always exhibits softening characteristics and prominent stress peak due to strain localization. A traditional elastoplastic constitutive model is used to model uniform deformation of pre-peak; a deformation bifurcation theory involving non-coaxial elastoplastic model is employed to predict the stress peak; and a complex theory is introduced to describe the heterogeneous deformation of post-peak. By comparing the modeling results to experimental ones, it is shown that the softening characteristics of soil under plane strain condition can be truly described by presented approaches. Moreover, it is found that the most important key to predict the peak-stress is to introduce exactly a non-coaxial elastoplastic model into the classical deformation bifurcation theory.

Key words: plane strain, strain softening, non-coaxiality, deformation bifurcation

中图分类号:

TV 115

钱建固，吕玺琳，黄茂松. 平面应变状态下土体的软化特性与本构模拟[J]. , 2009, 30(3): 617-622.

QIAN Jian-gu, Lü Xi-lin, HUANG Mao-song. Softening characteristics of soils and constitutive modeling under plane strain condition[J]. , 2009, 30(3): 617-622.

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