桩-土间无厚度轴对称滑动面单刚矩阵的一种闭合解  

ELEMENT MATRIX＇S PRECISE CLOSE SOLUTION OF NO THICKNESS AXIAL SYMMETRY SLIDING SURFACE BETWEEN PILE AND SOIL CONTACT

作　　者：孙斌堂[1] 胡庆立[2,3] 王宣青[1] 凌贤长[3] 

机构地区：[1]南京大学地球科学系,江苏南京210093 [2]中国地震局工程力学研究所,黑龙江哈尔滨150080 [3]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《岩石力学与工程学报》2005年第A01期5194-5197,共4页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目（50378031,50178027）

摘　　要：在轴向荷载作用下，采用无厚度滑动面单元模拟桩-土之间相对滑动，方法简单、直接、概念清楚。针对桩-土相互作用的轴对称问题，从刚度矩阵的基本概念出发，对有厚度接触面进行简化，并沿桩周长积分，获得了适合于模拟桩-土之间相对滑动的无厚度滑动面单刚矩阵的一种精确闭合解，为其进一步应用提供了可靠的理论依据。分析表明，所获得的无厚度轴对称滑动面单刚矩阵的解，属于一种精确闭合解，且能更好地模拟桩-土圆筒形接触面的实际情况，这种精确闭合解便于在有限单元法中应用：平面滑动单元属于轴对称滑动单元的一种特殊形式，并且可由轴对称滑动单元统一表示，从而，很好地减少桩-土相互作用研究中数值模拟的单元类型，这对于节减剖分计算域与准备数据的工作量、缩短机时、提高计算效益等无疑具有重要意义。It has merits of simple, directness and concept clarity for simulation of the sliding state between pile and soil contact surface by using no thickness sliding surface element under axial load. Aiming at the axial symmetry problem of pile and soil interaction, according to basic concept of element matrix, by simplifying the thickless sliding contact surface and integral calculating to perimeter of pile, an element matrix＇s precise close solution of no thickness axial symmetry sliding surface between pile-soil contact is obtained which is fit for simulating the slide between pile and soil contact surface and to provide the theory basis for its further application. It indicates that the precise solution of element of the no thickness axial symmetry sliding surface can simulate the columnar pile and soil contact surface better, and the precise solution is easy to be adopted in the FEM numerical simulation. The surface sliding element is a special form, and it can be uniformly expressed by the axial symmetry sliding element. Consequently, it reduces the element types in the numerical simulation study of pile and soil interaction. It is significant to reduce calculating domain, work of preparing data, time of calculating and increase calculate benefit.

关 键 词：土力学 单刚矩阵精确闭合解 无厚度轴对称滑动面 桩-土相互作用 有限元数值模拟 

分 类 号：TU431[建筑科学—岩土工程]