统一屈服面空间相交问题的处理  

Handling of Spatial Intersection of Unified Yield Surface

作　　者：张传庆[1] 周辉[1] 冯夏庭[1] 

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071

出　　处：《西安交通大学学报》2007年第11期1330-1334,共5页Journal of Xi'an Jiaotong University

基　　金：国家杰出青年科学基金资助项目(50325414);国家自然科学基金联合基金资助项目(50539090;50579091);中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室开放研究基金资助项目(Z000603)

摘　　要：提出了一种空间分区处理技术,以解决弹塑性数值分析中多重屈服面空间相交时,应力超出屈服面后使屈服面难以确定、继而引起塑性因子无法计算等问题.在应力角位于0到π/3之间时,利用通过统一剪切屈服面交线的子午面将屈服面的外部区域划分为2个区域,提出以拉伸屈服面与剪切屈服面相交而成二面角的平分面来划分这两种屈服面外部区域的方法,从而可将屈服面外的应力空间划分成4个区域,接着推导出了它们之间分界面的数学表达式,最后提出了相应的屈服函数选择法则,并将其增量本构格式插入FLAC3D软件中.通过算例的数值计算结果与解析结果的对比,验证了此处理技术力学上的合理性和数学上的正确性.A spatial zonal approach is proposed to handle the problems about determination of yield surface and plastic factor when multiple yield surfaces arise to intersect spatially in the elasto-plastic numerical analysis. The unified yield surface usually consists of twelve planes, while it contains only two shear yield planes when the stress angle is within the interval （0, π/ 3）. The outside of the two shear yield planes is divided into two partitions with the meridian plane passing through their intersection line. Then the angle-bisecting plane of dihedral of the tension yield plane and the shear yield plane is used to divide the outside of these yield surfaces into four partitions. The formulas are derived in detail corresponding to the interfaces among these partitions, the selection criterion of the yield functions is proposed, and the corresponding incremental constitutive model is inserted into the software FLAC^3D. A case about elaso-plastic analysis of a circular tunnel is presented. A comparison of the results from numerical calculation and analytical solution verifies the rationality of this method.

关 键 词：统一屈服面 拉伸屈服面 势函数 空间分区方法 

分 类 号：TU443[建筑科学—岩土工程]