ABSTRACT

With the rapid advancement of the multimaterial additive manufacturing (AM) technology, the heterogeneous lattice structures (HLSs) comprising the multiphase materials with gradual variations have become feasible and accessible to the industry. However, the multimaterial AM capabilities have far outpaced the modeling capability of design systems to model and thus design novel HLSs. To further expand the design space for the utilization of AM technology, this paper proposes a method for modeling HLS with complex geometries and smooth material transitions. The geometric modeling and material modeling problems are formulated in a rigorous and computationally effective manner. The geometric complexity of HLS is significantly reduced by a semi-analytical unit cell decomposition strategy that is applied to split HLS into material units: struts and connectors. The smooth material transitions of the connector associated with multimaterial struts are realized by interpolating the discrete material property values defined at control points using a multiquadric radial basis function network.

中文翻译：

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一种多二次径向基函数网络支持的异构晶格结构建模技术

摘要

随着多材料增材制造（AM）技术的快速发展，由具有渐变的多相材料组成的异质晶格结构（HLS）已成为行业可行和可及的。然而，多材料增材制造能力远远超过了设计系统的建模能力，从而对新型 HLS 进行建模和设计。为进一步拓展增材制造技术应用的设计空间，本文提出了一种具有复杂几何形状和平滑材料过渡的 HLS 建模方法。几何建模和材料建模问题以严格且计算有效的方式制定。通过将 HLS 拆分为材料单元的半解析晶胞分解策略显着降低了 HLS 的几何复杂性：支柱和连接器。与多材料支柱相关的连接器的平滑材料过渡是通过使用多二次径向基函数网络对在控制点处定义的离散材料属性值进行插值来实现的。