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圆孔扩张理论在岩土工程中应用较广。采用修正的临界状态模型来描述砂土三种不同压缩变形机制:颗粒重分布,颗粒破碎和拟弹性变形,结合空间滑动面(SMP)屈服准则和不相关联流动法则,通过编写Matlab微分方程求解程序,获得考虑砂土颗粒破碎的圆孔(柱孔和球孔)扩张问题的半解析解答。以加拿大Quebec砂土为例,将该圆孔扩张解答结果与基于常规临界状态模型的解答进行比较分析,结果表明:颗粒破碎对砂土在高应力及临界状态的应力解答及变形特征影响显著,在采用圆孔扩张理论解释静力触探试验及旁压试验时应考虑颗粒破碎的影响。
The theory of circular hole expansion is widely used in geotechnical engineering. The modified critical state model is used to describe three different compressive deformation mechanisms of sand: particle redistribution, particle crushing and pseudo-elastic deformation. Combined with SMP yield criterion and uncorrelated flow rule, Matlab differential equations are solved Program to obtain a semi-analytical solution to the problem of the expansion of circular holes (pillars and holes) in which the sand particles are broken. Taking Canadian Quebec sand soil as an example, the results of the circular hole expansion solution are compared with the solutions based on the conventional critical state model. The results show that the particle crushing has a significant effect on the stress response and deformation characteristics of sand under high stress and critical conditions, In the use of hole expansion theory to explain the static cone penetration test and pressure test should consider the impact of particle crushing.