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<p>Structural optimization has emerged as a fundamental pillar of modern engineering design, propelled by the imperative to augment structural performance while minimizing material consumption and weight. While topology optimization (TO) has demonstrated efficacy in fulfilling stiffness and dynamic requisites, extant methods reveal substantial lacunae in concurrently handling multi-material designs and buckling constraints, particularly when geometric fidelity and stability are of paramount significance. Although prior investigations have independently advanced iso-geometric analysis (IGA), multi-phase TO, and buckling-aware optimization, their isolated evolution gives rise to unresolved predicaments in circumstances demanding unified geometric resolution, material hybridization, and compressive stability. To bridge this chasm, this study proffers an integrated framework that synergizes a novel buckling-constrained topology optimization framework for multi-phase materials, integrating Iso-geometric Analysis (IGA) to enhance computational accuracy and geometric representation. This unified methodology addresses a critical constraint in conventional TO–the incapacity to co-optimize geometric precision, material heterogeneity, and stability constraints–enabling lightweight designs with assured manufacturability and resistance to failure under compression. The proposed approach harnesses the high-order continuity and precise geometry modeling capabilities of IGA to optimize material distribution while ensuring structural stability under compression. By incorporating critical buckling load constraints alongside compliance minimization, the framework achieves an optimal balance between stiffness, stability, and material efficiency. Numerical case studies validate the effectiveness of the proposed method, demonstrating significant improvements in buckling resistance, structural efficiency, and manufacturability. The results highlight the potential of IGA-based topology optimization in advancing stability-driven structural design, particularly for multi-phase material systems.</p>

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Buckling-constrained topology optimization of multi-phase materials via iso-geometric analysis

  • 期刊论文

  • 发表日期：

    2025年6月25日

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  • Ning Gan,
  • Jiayuan Kan,
  • Bo Sun

摘要

Structural optimization has emerged as a fundamental pillar of modern engineering design, propelled by the imperative to augment structural performance while minimizing material consumption and weight. While topology optimization (TO) has demonstrated efficacy in fulfilling stiffness and dynamic requisites, extant methods reveal substantial lacunae in concurrently handling multi-material designs and buckling constraints, particularly when geometric fidelity and stability are of paramount significance. Although prior investigations have independently advanced iso-geometric analysis (IGA), multi-phase TO, and buckling-aware optimization, their isolated evolution gives rise to unresolved predicaments in circumstances demanding unified geometric resolution, material hybridization, and compressive stability. To bridge this chasm, this study proffers an integrated framework that synergizes a novel buckling-constrained topology optimization framework for multi-phase materials, integrating Iso-geometric Analysis (IGA) to enhance computational accuracy and geometric representation. This unified methodology addresses a critical constraint in conventional TO–the incapacity to co-optimize geometric precision, material heterogeneity, and stability constraints–enabling lightweight designs with assured manufacturability and resistance to failure under compression. The proposed approach harnesses the high-order continuity and precise geometry modeling capabilities of IGA to optimize material distribution while ensuring structural stability under compression. By incorporating critical buckling load constraints alongside compliance minimization, the framework achieves an optimal balance between stiffness, stability, and material efficiency. Numerical case studies validate the effectiveness of the proposed method, demonstrating significant improvements in buckling resistance, structural efficiency, and manufacturability. The results highlight the potential of IGA-based topology optimization in advancing stability-driven structural design, particularly for multi-phase material systems.