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<p>The development of metamaterials with optimal mechanical isotropy and specific stiffness/strength remains a significant challenge in lightweight materials research. Plate lattice architectures emerge as the most promising structural solution to meet these demanding performance requirements. This research systematically examines titanium alloy plate lattice structures incorporating both simple cubic (SC) and face-centered cubic (FCC) topologies using combined analytical and numerical approaches. The resulting titanium SC-FCC plate lattices demonstrate exceptional stiffness and strength approaching theoretical limits, while maintaining remarkable mechanical isotropy. Comprehensive characterization includes directional stiffness/yield stress distributions, initial failure mechanism mapping, and crushing mode analysis for this cellular titanium material. Practical evaluations address geometric tailoring and density grading effects. The study establishes closed-form Gibson-Ashby scaling laws for stiffness and yield stress across broad relative density ranges. With mechanical properties surpassing numerous materials in Ashby charts, the titanium SC-FCC plate lattice shows outstanding potential for load-bearing applications, offering superior performance-to-weight characteristics critical for advanced engineering designs.</p> Graphical abstract <p></p>

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Mechanical properties assessment for a titanium alloy plate lattice: Finite element and analytical studies

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Yu Xie,
  • Lican Zhang,
  • Jiuguang Zhou,
  • Liang Dong

摘要

The development of metamaterials with optimal mechanical isotropy and specific stiffness/strength remains a significant challenge in lightweight materials research. Plate lattice architectures emerge as the most promising structural solution to meet these demanding performance requirements. This research systematically examines titanium alloy plate lattice structures incorporating both simple cubic (SC) and face-centered cubic (FCC) topologies using combined analytical and numerical approaches. The resulting titanium SC-FCC plate lattices demonstrate exceptional stiffness and strength approaching theoretical limits, while maintaining remarkable mechanical isotropy. Comprehensive characterization includes directional stiffness/yield stress distributions, initial failure mechanism mapping, and crushing mode analysis for this cellular titanium material. Practical evaluations address geometric tailoring and density grading effects. The study establishes closed-form Gibson-Ashby scaling laws for stiffness and yield stress across broad relative density ranges. With mechanical properties surpassing numerous materials in Ashby charts, the titanium SC-FCC plate lattice shows outstanding potential for load-bearing applications, offering superior performance-to-weight characteristics critical for advanced engineering designs.

Graphical abstract