Handling of Spatial Intersection of Unified Yield Surface

张传庆; 周辉; 冯夏庭

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Handling of Spatial Intersection of Unified Yield Surface

更新时间：2025-12-08

- Handling of Spatial Intersection of Unified Yield Surface
- Vol. 41, Issue 11, Pages: 1330-1334(2007)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Online First：10 November 2007，
  
  Published：2007
- 稿件说明：
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张传庆, 周辉, 冯夏庭. Handling of Spatial Intersection of Unified Yield Surface[J]. 2007, 41(11): 1330-1334.
DOI：

张传庆, 周辉, 冯夏庭. Handling of Spatial Intersection of Unified Yield Surface[J]. 2007, 41(11): 1330-1334. DOI：

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FLAC

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.

Abstract

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 prop

osed

and the corresponding incremental constitutive model is inserted into the software FLAC

. 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.

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references

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Xu Shuanqiang, Yu Maohong, Hu Xiaorong. The stability analysis of circular tunnel based on the twin unified strength theory [J]. Journal of China Coal Society, 2003, 28(5): 522-526.

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