应用数学和力学2024，Vol.45Issue(3)：287-294,8.DOI:10.21656/1000-0887.440295
颗粒土中剪切带临界状态数学描述及其完全解
Mathematical Description and Complete Solution of the Critical State in the Shear Band of Granular Soil
摘要
Abstract
High-order continuum models are needed for properly capturing the post-failure mechanical respon-ses of soils involving shear bands.Through analysis on the evolution of shear band in granular soils based on a previously proposed micropolar hypoplastic model,a governing equation for the shear band in the critical state was obtained,which is a special nonlinear ordinary differential equation satisfied by the Cosserat angular veloc-ity.A concise derivation of the governing equation was conducted.The properties of the governing equation,the range of the chief parameter and the approach to the solution were mainly discussed.An energy balance equa-tion was formulated as a complementary condition for the determinant of the problem through analysis on the mechanical properties of the shear band.Then,the complete solutions,including the shear-band thickness fac-tor,the stress distribution,the strain rate components,and the shear velocity,were obtained through numeri-cal integration.The shear band thickness factor is particularly useful in determination of the micro-strength pa-rameter of the constitutive model.关键词
剪切带/微极亚塑性模型/临界状态/非线性常微分方程/完全解Key words
shear band/micropolar hypoplastic model/critical state/nonlinear ordinary differential equation/complete solution分类
力学引用本文复制引用
黄文雄,崔贤..颗粒土中剪切带临界状态数学描述及其完全解[J].应用数学和力学,2024,45(3):287-294,8.基金项目
国家自然科学基金(11772117) （11772117）
