Micro- and Macro-Scale Topology Optimization of Multi-Material Functionally Graded Lattice Structures

拓扑优化 拓扑(电路) 格子(音乐) 材料科学 比例(比率) 计算机科学 数学 物理 工程类 结构工程 组合数学 有限元法 程序设计语言 量子力学 声学
作者
Jerónimo Santos,Abdolrasoul Sohouli,Afzal Suleman
出处
期刊:Journal of composites science [Multidisciplinary Digital Publishing Institute]
卷期号:8 (4): 124-124 被引量:7
标识
DOI:10.3390/jcs8040124
摘要

Lattice structures are becoming an increasingly attractive design approach for the most diverse engineering applications. This increase in popularity is mainly due to their high specific strength and stiffness, considerable heat dissipation, and relatively light weight, among many other advantages. Additive manufacturing techniques have made it possible to achieve greater flexibility and resolution, enabling more complex and better-performing lattice structures. Unrestricted material unit cell designs are often associated with high computational power and connectivity problems, and highly restricted lattice unit cell designs may not reach the optimal desired properties despite their lower computational cost. This work focuses on increasing the flexibility of a restricted unit cell design while achieving a lower computational cost. It is based on a two-scale concurrent optimization of the lattice structure, which involves simultaneously optimizing the topology at both the macro- and micro-scales to achieve an optimal topology. To ensure a continuous optimization approach, surrogate models are used to define material and geometrical properties. The elasticity tensors for a lattice unit cell are obtained using an energy-based homogenization method combined with voxelization. A multi-variable parameterization of the material unit cell is defined to allow for the synthesis of functionally graded lattice structures.

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