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Parameter level set method for identifying 2D and 3D void using boundary displacement information
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AI
DOI：10.1016/j.ijsolstr.2023.112367.png)
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Abstract
En 中文
In this paper, the parameter level set method for 2D and 3D void identification is established uniformly by adopting boundary displacement information. Among them, the level set function is used to describe the evo-lution of the void interface. To avoid mesh reconstruction during the identification process, the ersatz material model associated with the level set function is developed to solve the forward problem. Simultaneously, considering further improving the optimization efficiency and reducing the identification cost, the compactly supported radial basis function is used to approximately expand the level set function. This scheme transforms the optimization of level set function into the optimization of the expansion coefficients, which reduces the optimization variables to some extent. In addition, the L-M algorithm with a certain regularization capability is employed to optimize the objective function. Finally, voids with various shapes in 2D and 3D structures are uniformly identified including complex multi-void structures such as structures similar to the human face and I-beam. The identification results show that the proposed identification method is effective and reliable even after introducing noise.
Keywords:
Parameter level set method
Ersatz material model
Radial basis function
2D
3D void identification
Journal
IF:
3.8
Papers:
1.2W
Citations:
3.1W
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