基于Lade-Duncan和SMP两种强度准则的岩石残余应力研究

 首先利用平面强度理论推导出基于Lade-Duncan和SMP两种准则的强度统一表达式，并结合岩石材料峰后应变软化的力学特性，以峰后内摩擦角?为中间变量，用残余应变 ? 来表示峰后非线性弹性模量E，最后建立岩石峰后残余应力的统一非线性本构方程(即峰后本构模型)。结合小官庄铁矿东区典型破裂岩闪长玢石的三轴试验，对该试验结果进行不同围岩下峰后应力–应变关系的模拟计算。结果表明，建立的峰后本构关系能较好地模拟试验结果，从而验证该模型的合理性，为研究岩石峰后力学规律提供新的途径。

STUDY OF RESIDUAL STRESS OF ROCK BASED ON LADE-DUNCAN AND SMP STRENGTH CRITERIA

By using plane strength theory,unified strength formula based on the spatially mobiliaed plane(SMP) and Lade-Duncan criteria is derived.Combining with post-peak rock material mechanical properties of post-peak strain softening,considering post-peak internal friction angle as intermediate variables,residual strain is used to express the post-peak nonlinear elastic modulus E,and finally a unified nonlinear constitutive equation which can be also named as constitutive model of rock post-peak residual stress is established.Combining with triaxial test of typical fractured diorite porphyrite in Eastern area of Xiaoguanzhuang iron mine,simulated calculation of post-peak stress-strain relationship curves for different confining pressures by this model is conducted.The result shows that the post-peak constitutive relation of this study can simulate the experimental results well,so as to prove the rationality of the model and providing a new way to study the post-peak mechanical regular pattern of rock.