基于Levy-Mises本构关系及Hoek-Brown屈服准则的轴对称圆巷理想弹塑性解

PERFECT ELASTOPLASTIC SOLUTION OF AXISYMMETRIC CYLINDRICAL CAVITY BASED ON LEVY-MISES CONSTITUTIVE RELATION AND HOEK-BROWN FAILURE CRITERION

采用增量型本构关系即Levy-Mises本构关系及Hoek-Brown屈服准则,对轴对称圆巷进行理想弹塑性条件下的理论求解。分别采用该求解公式、卡氏求解公式、基于Drucker-Prager屈服准则求解公式以及数值模拟(FLAC3D)试验等,对常规的工程实例进行计算,分析、研究不同求解公式计算结果的异同性。采用Levy-Mises本构关系及广义Hoek-Brown屈服准则,进行理想弹塑性条件下的半解析半数值解求解。

Theoretical solution of axisymmetric cylindrical cavity under perfect elastoplastic condition is addressed by adopting the Levy-Mises constitutive relation and Hoek-Brown failure criterion.The authors complete the calculation of routine engineering examples adopting the solution formula,solution formula of Kastner equation,solution formula based on Drucker-Prager yield criterion,and numerical simulation experiments（FLAC3D） respectively.Moreover,the authors analyze and study the similarities and differences of the results calculated by different solutions.In the end,semi-analytical and semi-numerical solutions under perfect elastoplastic condition are addressed by adopting the Levy-Mises constitutive relation and generalized Hoek-Brown failure criterion.