期刊论文

Xiao, J.(jqxiao@163.com)

中文

岩石力学与工程学报

1000-6915

2013

32

S2

3466-3477

国家重点基础研究发展计划(973)项目(2010CB732006) 国家青年自然科学基金资助项目(11002067) 河南省高等学校青年骨干教师资助计划项目(2011GGJS–144)

本校为其他机构

针对圆形隧道的弹塑性解析中许多能更好地反映岩石特性的本构模型由于数学求解的困难而得不到广泛应用的问题,进行新的尝试。首先,基于单一曲线和体积不可压缩假设,总结完善一种更为简便的解析方法。其次,运用该解析方法,针对6种不同的本构模型,计算围岩的弹性区和塑性区应力、塑性区半径、围岩平衡方程、围岩自承地应力上下限等,得到精确或近似的解析表达式。针对线性软化本构模型,引入Lambert函数给出塑性区半径R的解析表达式,论证围岩平衡曲线中R的取值范围。针对Nelder非线性软化本构模型,引入幂函数给出拐点横坐标以及拐点处降模量的近似计算式。当峰后为Weibull非线性软化本构模型时,由于...

A lot of constitutive models, representing the properties of rock well, have not been utilized widely because of the difficulty in elastoplastic solution. So, based on the single curve and constant volume hypothesis, an analytical method that can be used more conveniently was summed up and modified firstly. Using this method, the stress of elastic and plastic zones, radius of plastic zone, equilibrium equation and superior and inferior limits of self-support geostress of surrounding rock after excavation were calculated accurately or approximately. In view of linear softening constitutive mode...