状态方程法在渗流-应力耦合场求解中的应用  

Application of state equation method to seepage-stress coupling field

作　　者：韩炜洁[1] 梅甫良[2] 侯密山[1] 

机构地区：[1]中国石油大学(华东)工程力学系,山东东营257061 [2]嘉兴学院建筑工程系,浙江嘉兴314000

出　　处：《岩土力学》2008年第1期203-206,211,共5页Rock and Soil Mechanics

摘　　要：提出了一种计算土体渗流-应力耦合场的状态方程法。按平面应变问题,将描述渗流-应力耦合的平面固结方程进行空间离散,并用状态方程表示了有限元控制方程。利用牛顿-柯特斯公式,导出了当前时间步节点位移向量与前一时间步位移向量之间关系的递推公式。算例表明:状态方程法解决土体渗流-应力耦合问题与传统差分法相比的优势在于用较少的机时即可得到较为精确的解。State equation method for calculation of seepage-stress coupling field is developed. First the Biot equation is mesned by finite element method in the spatial domain; and the state equation is used to describe the control equation in terms of a plane strain problem, Then the iterative formula for calculating the displacement at the node is deduced by using the fine integral method, Example shows that the results are good in harmony with the exact results; and that the method could save lots of time as compared with the traditional method.

关 键 词：比奥固结方程 渗流-应力耦合场 状态方程 

分 类 号：O357[理学—流体力学]