基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷理想弹塑性解

›› 2009, Vol. 30 ›› Issue (6): 1555-1562.

基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷理想弹塑性解

侯公羽，牛晓松

中国矿业大学（北京）力学与建筑工程学院，北京 100083

收稿日期:2008-12-09 出版日期:2009-06-10 发布日期:2011-03-09
作者简介:侯公羽，男，1965年生，博士，副教授，主要从事岩土工程、岩石力学方面的教学与研究工作。

Perfect elastoplastic solution of axisymmetric circular openings in rock mass based on Levy-Mises constitutive relation and D-P yield criterion

HOU Gong-yu，NIU Xiao-song

School of Mechanics and Civil Engineering，China University of Mining & Technology, Beijing 100083, China

Received:2008-12-09 Online:2009-06-10 Published:2011-03-09

摘要/Abstract

摘要：

如何判断巷道开挖后在无支护反力条件下的围岩弹塑性变形及围岩应力重新分布的力学行为一直是人们研究的重点问题。卡斯特纳方程(Kastner equation)的求解存在以下不足和缺陷：(1) 对支护反力的力学处理存在缺陷，不具有工程实际意义；(2) 塑性区应力求解，没有使用到假设的理想弹塑性材料的塑性本构关系；(3) 塑性区应力求解，没有考虑沿巷道轴向方向的应力的影响。基于增量型本构关系即Levy-Mises关系及D-P屈服准则，对轴对称圆巷进行了理想弹塑性条件的求解。公式计算结果与卡斯特纳方程计算结果和数值模拟计算结果分别进行了对比分析。由于该求解弥补了卡斯特纳方程求解中忽略的3个问题，因此，其结果更具有理论意义和实践价值。

关键词: 轴对称圆巷, 增量型Levy-Mises本构关系, D-P屈服准则, 理想弹塑性解

Abstract:

How to determine the mechanical behavior of the elastoplastic deformation and stress redistribution in rock mass without supporting reaction after tunnel excavation is the important research problem all the time. The insufficiency and defect existed in the solution of Kastner equation are as follows: (1) there are drawbacks in the mechanical treatment of supporting reaction, which has no practical meaning; (2) in the solution of plastic zone stresses, it takes no advantage of the plastic constitutive relation given by perfect elastoplastic materials; (3) in the solution of plastic zone stresses, the influence of axial stress along tunnel is not taken into account. The perfect elastoplastic solution based on the incremental constitutive relation of plastic mechanics, namely Levy-Mises relationship and D-P yield criterion, is addressed. The present solution is studied with calculation results by Kastner equation and numerical computation. It has more theoretical meaning and practical value, for the present solution, it is able to account for three problems neglected in the solution of Kastner equation.

Key words: axisymmetric circular openings, incremental Levy-Mises constitutive relation, D-P yield criterion, perfect elastoplastic solution

中图分类号:

O 24

侯公羽，牛晓松. 基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷理想弹塑性解[J]. , 2009, 30(6): 1555-1562.

HOU Gong-yu，NIU Xiao-song. Perfect elastoplastic solution of axisymmetric circular openings in rock mass based on Levy-Mises constitutive relation and D-P yield criterion[J]. , 2009, 30(6): 1555-1562.

参考文献

null

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

本文评价

推荐阅读 10

[1]	向天兵，冯夏庭，陈炳瑞，江权，张传庆. 三向应力状态下单结构面岩石试样破坏机制与真三轴试验研究[J]. , 2009, 30(10): 2908 -2916 .
[2]	张宜虎，周火明，邬爱清. 结构面网络模拟结果后处理研究[J]. , 2009, 30(9): 2855 -2861 .
[3]	杨光，孙逊，于玉贞，张丙印. 不同应力路径下粗粒料力学特性试验研究[J]. , 2010, 31(4): 1118 -1122 .
[4]	闻世强，陈育民，丁选明，左威龙. 路堤下浆固碎石桩复合地基现场试验研究[J]. , 2010, 31(5): 1559 -1563 .
[5]	张常光，张庆贺，赵均海. 非饱和土抗剪强度及土压力统一解[J]. , 2010, 31(6): 1871 -1876 .
[6]	杨天鸿，陈仕阔，朱万成，刘洪磊，霍中刚，姜文忠. 煤层瓦斯卸压抽放动态过程的气-固耦合模型研究[J]. , 2010, 31(7): 2247 -2252 .
[7]	胡秀宏，伍法权. 岩体结构面间距的双参数负指数分布研究[J]. , 2009, 30(8): 2353 -2358 .
[8]	李卫超，熊巨华，杨敏. 分层土中水泥土围护结构抗倾覆验算方法的改进[J]. , 2011, 32(8): 2435 -2440 .
[9]	张桂民，李银平，施锡林，杨春和，王李娟. 一种交互层状岩体模型材料制备方法及初步试验研究[J]. , 2011, 32(S2): 284 -289 .
[10]	王伟李小春李强石露王颖白冰. 小尺度原位瞬态压力脉冲渗透性测试系统及试验研究[J]. , 2011, 32(10): 3185 -3189 .