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在开裂单元中引入不连续形函数 ,然后基于虚功原理推导出开裂单元的广义刚度矩阵和广义荷载的具体表达式 ,以及有限元平衡方程 ,从而建立了一种三维裂缝扩展的不变网格有限元分析方法。运用该方法对已建的二滩拱坝和待建的小湾工程拱坝在相同的工况下进行了对比计算。计算结果表明 :在目前所考虑的影响因素下 ,小湾拱坝和二滩拱坝的开裂范围、开裂程度及对网格疏密、混凝土抗拉强度和水力劈裂等影响因素的敏感程度都非常相似。考虑到二滩工程已建成 ,且运行正常 ,可以初步判定小湾工程的拱坝坝踵开裂危险性不大
The discontinuous shape function is introduced into the cracked element, and then the generalized stiffness matrix of cracked element and the concrete expression of generalized load are derived based on the principle of virtual work, and the finite element equilibrium equation is established, so as to establish an invariant grid with three-dimensional crack propagation Finite element analysis method. This method is used to compare the Ertan arch dam and the Xiaowan project arch dam under the same conditions. The calculation results show that under the influence factors currently considered, the cracking range and degree of cracking of Xiaowan arch dam and Ertan arch dam are sensitive to the influencing factors of grid density, concrete tensile strength and hydraulic fracturing very similar. Taking into account the Ertan project has been completed and operating normally, you can initially determine the Xiaowan project dam heel cracking risk is not big