陈胜宏,汪卫明,徐明毅,邹丽春.小湾高拱坝坝踵开裂的有限单元法分析[J].水利学报,2003,34(1):0066-0071 |
小湾高拱坝坝踵开裂的有限单元法分析 |
Finite element analysis of the crack propagation in high arch dam heel of Xiaowan project |
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DOI: |
中文关键词: 拱坝 开裂 有限单元法 |
英文关键词: arch dam crack propagation finite element method (FEM) |
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中文摘要: |
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。 |
英文摘要: |
The authors introduced the discontinuous shape function for analyzing cracked elements. The general stiffness matrices, load vectors and the equilibrium equations of the crack elements were derived based on the virtual work principle. A 3-D FEM with constant meshes for the crack propagation calculation was established. The method was applied in a calculation for the arch dams of Ertan (240m high, constructed) and Xiaowan (292m high, to be constructed). The results show that under the given conditions of the mesh density, tensile strength of concrete, hydraulic fracture effect, etc., the modes and depths of cracks in the two dams are similar. The Ertan project has been completed and working normally for several years already. A preliminary conclusion can be made that the Xiaowan arch dam will be with a low risk of hazardous dam heel crack. |
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