大变形固结理论连续性条件的严格表述  

A Strict Form of Continuity Condition in Largestrain Consolidation Theory

作　　者：丁洲祥[1,2] 朱合华[1] 丁文其[1] 

机构地区：[1]同济大学岩土及地下工程教育部重点实验室,上海200092 [2]北京交通大学土建学院,北京100044

出　　处：《同济大学学报（自然科学版）》2009年第4期471-474,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(50708077);国家“八六三”高技术研究发展计划资助项目(2006AA11Z102);中国博士后科学研究基金资助项目(20060400177);北京交通大学科技基金资助项目(2008RC025)

摘　　要：基于连续介质力学有限变形理论,提出了欧拉描述情况下,一维大变形固结连续性条件的严格表述形式.其中,控制变量分别选择常用的Almansi应变和孔隙比两种情况.分析结果表明,以往根据简化形式的连续性条件得到的Almansi应变及其物质时间导数的计算值均偏小,容易导致对地基沉降变形的估计不足.传统分析中将Almansi应变的物质导数直接用作土体瞬时体积变化率,这种度量方法理论上应当予以修正.Based on finite deformation theory of continuum mechanics, a strict form of continuity condition for onedimensional large-strain consolidation problems is proposed in terms of Eulerian description. The usual governing variables such as Almansi strain and void ratio are discussed respectively to establish a new strict form of continuity condition. The results show that the conventional simplified continuity condition can predict smaller values of both Almansi strain and its material time derivative, thus leading to a considerable underestimate of foundation settlement. It＇s necessary to modify the conventional method of taking material derivative of Almansi strain directly as instantaneous rate of volume change of soil mass.

关 键 词：软粘土层 大变形 固结 连续性条件 欧拉描述 Almansi应变 

分 类 号：TU411[建筑科学—岩土工程]