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首页> 外文期刊>International journal of computational methods >Identification of Voids in Structures Based on Level Set Method and FEM
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Identification of Voids in Structures Based on Level Set Method and FEM

机译：基于水平集法和FEM的结构中空隙的识别

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摘要

An algorithm has been developed to identify the position of voids in structures by coupling level set method and finite element method (FEM). The identification problem is transformed into a minimum problem whose objective function is defined as a least square form of displacement error. A perimeter constraint term is also added in the objective function to make the solution well posed. The level set is applied in the present algorithm to represent the position and geometry of the voids. The velocity field of level set function is obtained by analyzing the shape derivative of objective function. FEM based on Euler description is employed for solving the forward problem. The same fixed meshes adopted by the solution of forward problem are used for finite difference computation of the level set function. The procedure of this algorithm has been applied to the voids identification of two-dimensional (2D) and three-dimensional (3D) structures, the examples of single void and multiple voids are considered. The results indicate that the voids in structure can be identified effectively by the present algorithm and the algorithm is also stable to noise.
机译：已经开发了一种算法来通过耦合水平集法和有限元方法（FEM）来识别结构中空隙的位置。识别问题被转换为最小问题，其客观函数被定义为位移误差的最小平方形式。在目标函数中也添加了周边约束项以使溶液井提出。在本算法中应用水平集以表示空隙的位置和几何形状。通过分析目标函数的形状导数来获得电平集功能的速度场。基于欧拉描述的FEM用于解决前向问题。正向问题解决采用的相同固定网格用于电平集功能的有限差计算。该算法的过程已经应用于二维（2D）和三维（3D）结构的空隙识别，考虑单个空隙和多个空隙的示例。结果表明，通过本算法可以有效地识别结构中的空隙，并且该算法对噪声也稳定。

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