土体大变形单剪试验的SPH数值模拟  

SPH-BASED NUMERICAL SIMULATION OF SOIL SIMPLE SHEAR TESTS WITH LARGE DEFORMATION

作　　者：黄雨[1,2,3] 郝亮[1,4] 金晨[1] 野々山栄人 许强[3] 

机构地区：[1]同济大学地下建筑与工程系,上海200092 [2]同济大学岩土及地下工程教育部重点实验室,上海200092 [3]成都理工大学地质灾害防治与地质环境保护国家重点实验室,成都610059 [4]上海隧道工程股份有限公司,上海200082 [5]岐阜大学,日本岐阜501-1193

出　　处：《工程力学》2011年第1期199-204,共6页Engineering Mechanics

基　　金：地质灾害防治与地质环境保护国家重点实验室“科技减灾、重建家园”专项科研基金项目(DZKJ-0808);国家自然科学基金项目(40802070);上海市曙光计划项目(08SG22);上海市重点学科建设项目(B308)

摘　　要：针对目前常规数值计算方法的局限,该文采用一种纯拉格朗日、无网格方法——光滑粒子流体动力学法(简称SPH法)对土体的大变形力学行为进行数值模拟。首先,根据SPH法的基本理论,对弹塑性力学控制方程进行了离散,构造了应力-应变关系的SPH求解格式,并采用Jaumann应力率进行土体应力-应变与内部质点运动间的转换。然后,进行两组数值模拟试验:1)对弹性体大变形单剪试验进行数值模拟,与解析解进行比较;2)对采用修正剑桥模型的土体大变形不排水单剪试验进行数值模拟,并与有限元程序的大变形单剪试验计算结果进行比较。结果表明:SPH数值模拟方法具有较好的稳定性和计算精度,从而实现了这种新型计算方法在土体大变形弹塑性数值模拟研究中的成功应用。In order to overcome limitations of normal calculation methods,a meshless,Lagrangian particle method,namely Smoothed Particle Hydrodynamics（SPH） is applied to simulate the process of soil large deformation.Firstly,based on the theory of SPH,the formulations on elastoplastic mechanical governing equations are discreted.Meanwhile,the corresponding stress-strain relationship in SPH program is proposed and the transformation between stress-strain relationship and the movement of internal particles in soil is completed by using Jaumann stress rate.Subsequently,two groups of numerical simulation are conducted to verify the accuracy of the SPH method：1） Numerical modelling of elastic simple shear test is carried out.Computed results are basically accordant to the analytical solution.2） Numerical simulation of soil undrained simple shear test with large deformation is conducted.Computed results are validated by a comparison with the results of numerical simulation with the finite element method applying the modified Cam-Clay model.It has been proved that the SPH method can simulate the state of stress-strain relationship in soil large deformation analysis with high stability and accuracy.Therefore,this new computing method can be used in the research of numerical simulation of soil large deformation.

关 键 词：SPH方法 数值模拟 大变形 单剪试验 弹塑性力学 

分 类 号：TU470[建筑科学—结构工程]