Marching cub es-base d isogeometric topology optimization method with parametric level set

摘要

The level set method can provide superior benefits for topology optimization problems because of its smooth and distinct description of structural boundaries. However, in this method, the elements cut by structural boundaries are not descripted accurately. This paper proposes a marching cubes-based isogeometric topology optimization method with the parametric level set to address this issue. In the proposed method, the marching cubes algorithm is applied in the framework of isogeometric analysis to clearly distinguish the structural boundaries, enabling the creation of an accurate material description model during topology optimization. The relaxed topology derivative (RTD) is introduced to measure the sensitivity of the Lagrange function and alleviate the dependence on the initial design in the level set method. Several 2D and 3D numerical examples for minimizing mean compliance problems are tested to illustrate the effectiveness of the proposed method, including a multi-patch structure with a complicated design domain.

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