饱和土体应变局部化的复合体理论  

A homogenization approach to localized deformation in saturated soils

作　　者：黄茂松[1] 钱建固[1] 吴世明[1] 

机构地区：[1]同济大学地下建筑与工程系,上海200092

出　　处：《岩土工程学报》2002年第1期21-25,共5页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金资助项目 (50 1 790 2 5) ;教育部留学回国人员科研启动基金资助项目 ;上海市科学技术发展基金资助项目(0 0 51 1 1 0 56) ;教育部高等学校博士学科点专项科研基金资助项目(2 0 0 0 0 2 4 72 4 )

摘　　要：有限元法求解应变局部化问题时经常受到单元尺寸敏感性问题的困扰。为克服这一难题 ,给出一种基于整体坐标的应变局部化的复合体理论 ,通过对剪切带内外土体力学特性进行均一化处理来描述含剪切带土体的宏观力学特性。首先从理论上分析了饱和土体应变局部化的产生条件 ,随后通过复合体理论给出了描述在排水条件和不排水条件下饱和土体应变局部化的本构方程 ,最后对平面应变条件下的饱和密砂试样进行了分析 ,通过与室内平面应变试验结果的对比 ,验证了本文理论的合理性。This paper is concerned with the description of undrained response of saturated soils involving localized deformation. The average macroscopic response is estimated based on a homogenization procedure similar to that proposed earlier in reference . The formulation presented here is different from the original one, which is primarily due to a choice of the referential coordinate system. First, the case of drained response is addressed. Subsequently, the formulation relevant to saturated soils is outlined, in which both constituents (i.e. the intact and the shear band material) are assumed to respond in an undrained manner. A numerical example pertaining to undrained response of a dense sand specimen tested under plane strain conditions is provided, illustrating the influence of localization of deformation on the mechanical characteristics. The results of numerical simulations are fairly consistent with the experimental data.

关 键 词：饱和土 剪切带 平面应变试验 复合体理论 

分 类 号：TU447[建筑科学—岩土工程]