Abstract : in this paper the mathematical model for shape optimization of arch dam subject to crack - depth constraint is estabilshed and the super finite element method ( sfem ) for arch dam cracking analysis is used as the re - analysis method . the research findings on xiaowen arch dam show that the shape optimization of arch dam subject to crack - depth constraint may further help reduce the volume of dam 文摘:本文引进裂缝深度约束条件，研究了拱坝开裂条件下的体形优化设计问题.结构分析采用超级有限单元法，既能有效控制计算规模又能方便地反映结构开裂的局部特性.对小湾拱坝和溪洛渡拱坝进行的优化设计研究表明，在优化过程中允许开裂并考虑开裂约束条件，可以更好地挖掘拱坝潜力，进一步减小坝体混凝土方量
