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This research presents a topology optimization (TO) approach for designing fracture-resistant materials to prevent catastrophic failures in various industrial applications. The work focuses on optimizing structures that are already damaged due to pre-operational loads. To understand the material fracture behavior, we implement a phase field for fracture (PFF) model. The topology evolution of pre-damaged structures, influenced by material properties, is controlled by design variables using Solid isotropic materials with penalization (SIMP) method. The design variables are updated during the optimization process via the optimality criteria (OC) method, a gradient optimization algorithm. The integrated TO-PFF methodology is implemented in MATLAB R2023b. Numerical examples demonstrate the effectiveness of the proposed method in achieving optimized design for structures with enhanced fracture resistance.

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An Integrated Topology Optimization-Phase Field Approach for the Design of Defect Tolerant Structures

  • 会议论文

  • 发表日期：

    2026年

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  • Rakesh Kumar Tota,
  • Paggi Marco

摘要

This research presents a topology optimization (TO) approach for designing fracture-resistant materials to prevent catastrophic failures in various industrial applications. The work focuses on optimizing structures that are already damaged due to pre-operational loads. To understand the material fracture behavior, we implement a phase field for fracture (PFF) model. The topology evolution of pre-damaged structures, influenced by material properties, is controlled by design variables using Solid isotropic materials with penalization (SIMP) method. The design variables are updated during the optimization process via the optimality criteria (OC) method, a gradient optimization algorithm. The integrated TO-PFF methodology is implemented in MATLAB R2023b. Numerical examples demonstrate the effectiveness of the proposed method in achieving optimized design for structures with enhanced fracture resistance.