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针对混凝土坝有限元等效应力在角缘部位的失真问题,基于挡水结构的弹性力学解,提出一种改进三次等效应力法,即选取三次多项式模拟混凝土坝水平截面的正应力分布,确定多项式的待定系数,得到三次等效应力分布形式。以混凝土重力坝和拱坝为例,分别以线弹性有限元法、线性等效应力法、改进的三次等效应力法计算混凝土坝建基面的法向正应力和主应力,结果表明改进的三次等效应力法计算结果不仅有效减小了对计算网格的依赖性,且与线弹性有限元计算结果相当接近。结果可为混凝土坝的安全性评价提供参考。
Aimed at the problem of the distortion of the finite element equivalent stress of the concrete dam at the corner edge, an improved three-times equivalent stress method is proposed based on the elastic mechanics solution of the retaining structure. That is, the normal stress distribution of the horizontal section of the concrete dam is chosen, The polynomial to be determined coefficient, obtained three times the equivalent stress distribution. Taking concrete gravity dam and arch dam as examples, the normal normal stress and principal stress of concrete dam foundation surface are calculated respectively by linear elastic finite element method, linear equivalent stress method and improved three times equivalent stress method. The results show that the improved The calculation results of the three equivalent stress methods not only reduce the dependence on the computational grid effectively, but also are quite close to the linear elastic finite element method. The results can provide a reference for the safety assessment of concrete dams.