土的应力应变关系中柔度矩阵的研究  

Flexibility Matrix in Stress Stain Relationships of Soil

作　　者：卢曦[1] 施维成[2] 

机构地区：[1]江苏技术师范学院数理学院,江苏常州213001 [2]常州工学院土木建筑工程学院,江苏常州213002

出　　处：《重庆交通大学学报（自然科学版）》2011年第6期1363-1365,共3页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：河海大学岩土力学与堤坝工程教育部重点实验室开放基金项目(GH200904);常州工学院校级科研基金项目(YN1012)

摘　　要：在土的应力应变关系中,柔度矩阵要求主对角线元素为正且主对角线元素占优,对主应力表示的柔度矩阵进行了研究,证明了这两个条件同时满足时柔度矩阵的行列式必大于0。因而,柔度矩阵的行列式是否大于0可以作为评价土的本构模型合理性的一个方法。通过对传统弹塑性模型塑性柔度矩阵的研究,发现传统弹塑性模型的塑性柔度矩阵行列式等于0,不能满足主对角线元素占优的条件,因此,传统弹塑性模型在描述土的力学性质时有其局限性。It is demanded that the flexibility matrix have positive main diagonal elements and be diagonal dominant in stress strain relationships of soil.Through the study of the principal stress-expressed flexibility matrix,it is proved that the determinant of the flexibility matrix would be positive if the flexibility matrix satisfies the both conditions.Therefore it could be a method to estimate a constitutive model of soil whether the determinant of the flexibility matrix is positive or not.Finally,the plastic flexibility matrix of traditional elastoplastic models is studied.It is found that the determinant of the plastic flexibility matrix based on traditional elastoplastic theory is equal to zero,so the plastic flexibility matrix based on traditional elastoplastic theory could not be diagonal dominant.Consequently a traditional elastoplastic model has its limitation in the description of the mechanical properties of soils.

关 键 词：应力应变 柔度矩阵 弹塑性 主对角占优 

分 类 号：TU12[建筑科学—建筑理论] TU431