Porous structure design through Blinn transformation-based level set method
Porous structure design through Blinn transformation-based level set method
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DOI：
10.1007/s00158-017-1786-1
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发表时间：
2018-02
影响因子：
3.9
通讯作者：
Jikai Liu;Huangchao Yu;A. To
中科院分区：
文献类型：
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作者：
Jikai Liu;Huangchao Yu;A. To
本文提出了一种新的多孔结构建模和形状优化方法。具体而言，多孔结构被简化为一个桁架网络，并优化连接节点的位置，以达到最佳的刚度。同时，通过添加局部几何控制约束来定制孔隙率分布。然后，作为下一个步骤，桁架单元被恢复到显式形式，所描述的参数水平集函数;并通过进行Blinn变换，优化桁架结构被转换成一个连续体晶格模型与光滑过渡的内部节点。最后，通过参数化水平集形状优化，对节点处的最大应力水平进行优化。总之，该方法在构建具有定制孔隙率分布的非均质多孔结构方面是有效的，并且更重要的是，刚度和应力水平都可以被有效地优化，这是与大多数现有多孔结构建模和优化方法相比的突出特性。通过几个算例验证了该方法的有效性。
This paper presents a novel porous structure modeling and shape optimization method. Specifically, the porous structure is simplified into a truss network, and the connecting node positions are optimized to achieve the optimal stiffness. Simultaneously, the porosity distribution is tailored by adding local geometry control constraints. Then, as a following step, the truss elements are restored back into the explicit form, described by the parametric level set functions; and by conducting the Blinn transformation, the optimized truss structure is transformed into a continuum lattice model with smooth transitions at the internal joints. Finally, the maximum stress level at the joints is optimized through parametric level set shape optimization. In summary, this method is effective in building heterogeneous porous structures with tailored porosity distribution, and more importantly, both the stiffness and the stress level can be effectively optimized, which is an outstanding characteristic compared to the majority of the existing porous structure modeling and optimization methods. Effectiveness of the proposed method is proved through a few numerical case studies.