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<p>To address complex loading conditions, this study investigates the multidirectional quasi-static and dynamic mechanical properties of a metallic origami lattice metamaterial. Using a single geometric, material, and simulation model, a high-fidelity performance database of this honeycomb origami structure was built through the parametric finite element analysis (60 model configurations across a design space of folding angle <i>α</i> ∈ [45°,75°], re-entrant angle <i>β</i> ∈ [50°,70°], wall thickness <i>t</i> ∈ [0.4,1.0] mm, etc.) of quasi-static compression and 4500&#xa0;J dynamic impact. Comparative results reveal pronounced load dependence in single-objective optimization: when specific plateau stress is maximized, the optimal folding angle <i>α</i> differs by approximately 9.5° between quasi-static and dynamic impact, and the optimal re-entrant angle <i>β</i> differs by approximately 5.1° between them when the anisotropy index is minimized—explicitly establishing the need for load-customized design. To cope with this, we present a new combined metric, the Normalized Isotropic Load Efficiency (NILE) to describe the specific load-bearing capacity and isotropy simultaneously. Using this metric, we systematically reveal the sensitivity of the overall performance to load, and more importantly, identify a core robust region (<i>α</i> ∈ [50.6°, 55.2°], <i>β</i> ∈ [64.1°, 67.3°]), which remains largely insensitive to load type. Building on this, a two-tiered "load-customized design–core robust design" framework is established: under well-defined loading conditions, load-specific optimal models are directly available (quasi-static: Model 15; dynamic: Model 25); under load uncertainty, models selected from the core robust region consistently rank in the top 8 in NILE comprehensive performance under both quasi-static and dynamic impact, requiring no additional optimization. This framework offers a robust "one‑design‑fits‑many" solution for engineering applications subject to uncertain loading, such as automotive crash boxes and aerospace landing attenuators.</p>

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Origami Metamaterial Design Based on NILE Metric: Load-Dependent Identification and Core Robust Design Region Delineation

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • Dingchuan Wang,
  • Hui Jiang,
  • Zhansi Jiang

摘要

To address complex loading conditions, this study investigates the multidirectional quasi-static and dynamic mechanical properties of a metallic origami lattice metamaterial. Using a single geometric, material, and simulation model, a high-fidelity performance database of this honeycomb origami structure was built through the parametric finite element analysis (60 model configurations across a design space of folding angle α ∈ [45°,75°], re-entrant angle β ∈ [50°,70°], wall thickness t ∈ [0.4,1.0] mm, etc.) of quasi-static compression and 4500 J dynamic impact. Comparative results reveal pronounced load dependence in single-objective optimization: when specific plateau stress is maximized, the optimal folding angle α differs by approximately 9.5° between quasi-static and dynamic impact, and the optimal re-entrant angle β differs by approximately 5.1° between them when the anisotropy index is minimized—explicitly establishing the need for load-customized design. To cope with this, we present a new combined metric, the Normalized Isotropic Load Efficiency (NILE) to describe the specific load-bearing capacity and isotropy simultaneously. Using this metric, we systematically reveal the sensitivity of the overall performance to load, and more importantly, identify a core robust region (α ∈ [50.6°, 55.2°], β ∈ [64.1°, 67.3°]), which remains largely insensitive to load type. Building on this, a two-tiered "load-customized design–core robust design" framework is established: under well-defined loading conditions, load-specific optimal models are directly available (quasi-static: Model 15; dynamic: Model 25); under load uncertainty, models selected from the core robust region consistently rank in the top 8 in NILE comprehensive performance under both quasi-static and dynamic impact, requiring no additional optimization. This framework offers a robust "one‑design‑fits‑many" solution for engineering applications subject to uncertain loading, such as automotive crash boxes and aerospace landing attenuators.