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首次采用双剪统一强度理论考虑了中间主应力和材料拉压强度比的影响,对实心旋转圆盘进行了弹塑性分析,得出了相应的应力场统一解以及它与强度参数b和材料拉压强度比α之间的关系曲线。结果表明:b值和α值对旋转圆盘的弹性解没有影响,但对其塑性解影响较大,其中b值越大,对应点的应力越大;在α=1不变的情况下,将b=1时与b=0时圆盘的应力进行比较发现,弹塑性状态下各点应力值rσ和θσ分别平均提高了4.18%和16.55%。现有的Tresca(α=1,b=0)、双剪应力准则(α=1,b=1)、双剪统一屈服准则(α=1)、Mises解(极限逼近)均是本文统一解的特例,选择不同b值可得一系列不同的屈服准则,从而得到一系列不同应力场。综上可知:双剪统一强度理论考虑了所有应力分量对材料的不同影响,适用于各种不同材料,结果更为准确。该统一解可更全面地发挥材料性能,为工程实践提供一定的参考。
For the first time, the double shear unified strength theory is used to consider the influence of the intermediate principal stress and the tensile strength ratio of the material. The elastic-plastic analysis of the solid rotating disk is made, and the corresponding unified solution of the stress field and its relationship with the strength parameter b, Pressure intensity ratio α between the curve. The results show that the b value and the α value have no effect on the elastic solution of the rotating disc, but have a greater influence on the plastic solution. The larger the b value, the larger the stress at the corresponding point. Under the condition of α = 1, Comparing the disc stress at b = 1 with b = 0, we find that the stress values at each point, rσ and θσ, increase by 4.18% and 16.55% respectively on average. The existing Tresca (α = 1, b = 0), double shear stress criterion (α = 1, b = 1), double shear unified yield criterion (α = 1) and Mises solution , We can get a series of different yield criteria by choosing different values of b, so as to obtain a series of different stress fields. To sum up, we can see that the unified strength theory of double shear considers all the different effects of the stress components on the materials and is applicable to various materials with more accurate results. The unified solution can give full play to the material properties and provide some reference for engineering practice.