2021
DOI: 10.1038/s41598-021-94520-x
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Robust topological designs for extreme metamaterial micro-structures

Abstract: We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of metamaterials. The algorithm is based on the bi-directional evolutionary topology optimization and energy-based homogenization approach. To simulate additive manufacturing uncertainty, combinations of spatial variat… Show more

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Cited by 19 publications
(3 citation statements)
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“…On the one hand, recurring features are many of those cited in the section ''Conclusions on impact-resistant structures'': heterogeneity, porosity, hierarchical organization, efficient resonating structure, graded properties, and in some cases chirality. 260,261 In this case, artificial optimization techniques can improve existing bioinspired designs for specific objectives. On the other hand, implementing unconstrained numerical optimization can enable a wider exploration of the phase space, potentially leading to exotic designs with little resemblance to existing biological structures.…”
Section: Natural Structural Evolution Versus Optimization Through Art...mentioning
confidence: 99%
“…On the one hand, recurring features are many of those cited in the section ''Conclusions on impact-resistant structures'': heterogeneity, porosity, hierarchical organization, efficient resonating structure, graded properties, and in some cases chirality. 260,261 In this case, artificial optimization techniques can improve existing bioinspired designs for specific objectives. On the other hand, implementing unconstrained numerical optimization can enable a wider exploration of the phase space, potentially leading to exotic designs with little resemblance to existing biological structures.…”
Section: Natural Structural Evolution Versus Optimization Through Art...mentioning
confidence: 99%
“…Further, another work considers topology optimization results as designs for the most effective load carrying path, with structural details like chamfers, fillets, stiffeners, joints, and cross-sections designed in subsequent shape and sizing optimization procedures [12] . Through integrating a material uncertainty model (MUM) with deterministic topology optimization to develop robust topology designs for extreme metamaterial micro-structures using a parallel Monte Carlo method [13] .…”
Section: Related Workmentioning
confidence: 99%
“…Chen et al [40] combined negative and positive Poisson's ratio topologies to achieve an effective zero Poisson's ratio topology, demonstrating the unique performance of each and providing valuable data for the design of novel structures. Chatterjee [41] used bidirectional evolutionary topology optimization and energy-based homogenization methods to show how material uncertainty can affect the optimal microstructure of mechanical metamaterials, highlighting the importance of considering uncertainty in topology optimization for the mechanical performance and robustness of metamaterials.…”
Section: Introductionmentioning
confidence: 99%