土体应变局部化现象的理论解析  

An analytical solution for criterion of onset of strain localization of soils

作　　者：钱建固[1,2] 黄茂松[3] 

机构地区：[1]同济大学地下建筑与工程系 [2]中国科学院武汉岩土力学研究所岩土力学重点实验室,湖北武汉430071 [3]中国科学院武汉岩土力学研究所岩土力学重点实验室

出　　处：《岩土力学》2005年第3期432-436,共5页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.10402029;50179025);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)。

摘　　要：引起土体失稳的应变局部化现象是在特定应力状态下,土体本构产生的分叉特性。基于有限变形理论推导了应变局部化产生的三维解析解。基于应变局部化的理论解析,分析了轴对称和平面应变条件下应变局部化现象在弹塑性硬化阶段的存在性以及剪切带的方向性。 理论分析表明,在轴对称条件下,土体应变局部化产生于土体应力-应变的软化阶段,而平面应变条件下,土体应变局部化一般出现在应力-应变的硬化阶段,其剪切带方向角的理论预测与 Arthur 等[1]建议值较为一致。Strain localization of soils as a stable behavior of soils can be understood as a bifurcation in the macroscopic constitutive properties in a special stress state. In this paper, a 3-D analytical solution for the criterion of onset of strain localization is deduced based on the finite deformation theory. The theoretical analysis shows that, onset of strain localization always occurs in the softening regime of constitutive response under axisymmetric conditions; and inception of strain localization generally occurs in the hardening regime under plane strain conditions, and shear bands’ orientation of theoretical prediction exhibits an agreement with that suggested by Arthur et al[1].

关 键 词：应变局部化 分叉 剪切带 

分 类 号：TU43[建筑科学—岩土工程]