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采用统一强度理论考虑中间主应力和材料SD效应的影响,借鉴应变梯度理论对平面受拉孔洞进行弹塑性分析,得到相应塑性区半径计算公式和相关影响因素。结果表明,材料拉压强度比α值和强度参数b值对孔洞塑性区半径r0有较大影响,与b=0时相比,b=1时r0值减小了20%;当孔洞尺寸为微米量级时,考虑应变梯度理论的塑性区半径解与经典塑性解有明显差异,且孔径α和材料硬化指数m越大,孔洞塑性区半径r0越大。改变统一强度理论参数获得一系列计算结果,计算结果合理,且具有一定的统一性和实用价值。
Considering the influence of intermediate principal stress and material SD effect by unified strength theory, the elastic gradient analysis of the plane tensioned hole is carried out by using the theory of strain gradient, and the formula of the radius of the corresponding plastic zone and the related influencing factors are obtained. The results show that the tensile strength and compressive strength of the material have a greater influence on the radius of plastic zone r0 than α and b, and the value of r0 decreases by 20% when b = 1 compared with b = 0. When the hole size is In the order of microns, the plastic zone radius solution considering the strain gradient theory has obvious difference from the classical plastic solution. The larger the aperture diameter α and the material hardening index m, the larger the radius r0 of the hole plastic zone. Change the unified strength theory parameters to obtain a series of calculation results, the calculation results are reasonable, and has a certain degree of unity and practical value.