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<p>Multi-material topology optimization aims to improve structural design by seeking optimal configurations that maximize the efficiency of using different materials in the design domain. Although recent research has focused on the solid isotropic material with penalization (SIMP) methodology for multi-material topology optimization, the smoothing evolutionary structural optimization (SESO) methodology has not yet been explored, nor has it considered structural reliability analysis. This paper innovates by integrating the SESO methodology into multimaterial problems through a new interpolation technique and coupling a reliability analysis to the SIMP and SESO methods. Interesting three-dimensional numerical examples include a clamped T-shape structure, bridge, and Michell structures where materials, such as steel, aluminum, and concrete, are strategically distributed in the structures. The reduction of compliance and design costs is demonstrated through simulations, highlighting the effectiveness of the proposed techniques in promoting the efficient use of high-performance materials while optimizing structural efficiency.</p>

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Multi-material topology optimization for three-dimensional structures based on the SIMP and SESO method through a new interpolation coupled with reliability

  • 期刊论文

  • 发表日期：

    2026年2月9日

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  • Márcio Maciel da Silva,
  • Francisco de Assis das Neves,
  • Hélio Luiz Simonetti,
  • Marcilio Sousa da Rocha Freitas

摘要

Multi-material topology optimization aims to improve structural design by seeking optimal configurations that maximize the efficiency of using different materials in the design domain. Although recent research has focused on the solid isotropic material with penalization (SIMP) methodology for multi-material topology optimization, the smoothing evolutionary structural optimization (SESO) methodology has not yet been explored, nor has it considered structural reliability analysis. This paper innovates by integrating the SESO methodology into multimaterial problems through a new interpolation technique and coupling a reliability analysis to the SIMP and SESO methods. Interesting three-dimensional numerical examples include a clamped T-shape structure, bridge, and Michell structures where materials, such as steel, aluminum, and concrete, are strategically distributed in the structures. The reduction of compliance and design costs is demonstrated through simulations, highlighting the effectiveness of the proposed techniques in promoting the efficient use of high-performance materials while optimizing structural efficiency.