受均布围压岩石试件的三维应力函数

3D Stress Function of Rock Specimen under Homogenized Surrounding Pressure

以圆柱体标准岩石试件受均布围压时的弹性阶段为研究对象,以弹性力学空间轴对称理论为依据,采用半逆解法,构造出试件的三维应力函数。根据应力函数推导出应力分量。为岩石内部力学性质的研究提供了便利。并与ANSYS模拟结果进行对比,发现两者结果非常吻合,从而表明构造的应力函数是可取的。

Taking the elastic stage of the cylindrical standard rock specimen under homogenized surrounding pressure as the research object,the three-dimensional stress function of the specimen is constructed based on the theory of space axisymmetry of elastic mechanics and the semi-inverse method.According to the stress function,the stress component is deduced.It is convenient for the study of the internal mechanical properties of rock.Compared with the ANSYS simulation results,it is found that the two results are in good agreement with each other,which indicates that the constructed stress function is desirable.