基于水平集函数的三维结构内部缺陷反演分析  

Inverse analysis on detecting internal flaw within 3D structure based on level set

作　　者：王珍兰 赵文虎[2] 杜成斌[2] 储冬冬 Wang Zhenlan Zhao Wenhu Du Chengbin Chu Dongdong(Jiangsu Province Water Conservancy Science Research Institute, Yangzhou 225002, China College of Mechanics and Materials ,Hohai University,Nanjing 211100, China)

机构地区：[1]江苏省水利科学研究院,江苏扬州225002 [2]河海大学力学与材料学院,江苏南京211100

出　　处：《能源与环保》2017年第5期6-10,共5页CHINA ENERGY AND ENVIRONMENTAL PROTECTION

基　　金：国家自然科学基金(51579084;11372098);江苏省水利科技项目(2015030)

摘　　要：为了更快捷有效地识别结构中存在的缺陷,在实验室浇筑了内部含球形缺陷的水泥砂浆试件,通过三维数字图像相关方法测得试件在单轴压缩荷载下其侧表面的竖向和水平方向的位移值。基于水平集函数描述结构内部的缺陷特征,结合扩展有限元法和人工蜂群智能算法,建立了三维结构内部缺陷反演分析模型,在模型边界上施加测得的位移值作为边界条件,进行三维结构内部缺陷反演分析。模型采用水平集函数描述结构内部的缺陷,迭代过程无需进行网格重划分;同时,人工蜂群智能算法可进行全局搜索,迭代速度快且可避免早熟陷入局部最优。数值反演分析结果与实验结果的对比表明:所建立的反演分析模型能够有效快速地识别三维结构内部的缺陷。To identify the internal defect within 3D structures fast and more efficiently, the compression tests of the designed cement mortar specimens with a spherical flaw inside were considered to obtain the vertical and horizontal displacement fields of the lateral sur-faces by 3D digital image correlation method. By using the level set functions to describe the internal flaw,a inverse model for internal flaw detection within 3D structures was built in this paper based on the combination the extended finite element method（ XFEM） and the artificial bee colony （ ABC） intelligent algorithm. Internal flaw inverse analysis was conducted by applying the displacement field ob-tained in the experiments as boundary condition. The model can reflect the location and size of the defect by the level set function with-out remeshing and search globally with the ABC intelligent algrorithm. Hence, the inverse analysis is more efficient and can avoid the lo-cal optimum. The comparison between the numerical result and test result indicates that this model can effectively identify the internal defect within 3D structures.

关 键 词：水平集函数 扩展有限元法 人工蜂群智能算法 三维数字图像相关方法 缺陷识别 反演分析 

分 类 号：O302[理学—力学]