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<p>This work proposes a novel problem in the field of multi-physical-material topology optimization (MPMTO). The analysis involves the study of heat conduction in a state of equilibrium and the consideration of the effects of self-weight loads, stress, compliance, and dynamic limitations. This discussion compares two optimization problems: stress minimization with volume restrictions, and compliance minimization with volume, stress, and dynamic constraints. The primary contributions of this study are as follows: (1) This study considers the problem of thermal–mechanical load coupling with self-weight load in multiple materials. (2) This study simultaneously explores stress-based MPMTO with thermal–mechanical load coupling and self-weight load. (3) This study investigates dynamics and stress-based MPMTO with nonuniform thermal load and self-weight load, resulting in a significant design improvement compared to optimized designs of the traditional single-physics model. (4) Multi-material topology optimization (MMTO) in multi-physics fields under multiple constraints employs the extended solid isotropic material penalization (SIMP) method. (5) The influence of design-dependent thermal and self-weight loads on maximizing the eigenvalues induced by thermal stress is taken into account along with stress and compliance constraints in MPMTO for the first time. These contributions support the development of functional structures that operate in high-temperature conditions while minimizing stress concentration and improving eigenvalues at the same time. Therefore, the structures continue to function well in the given temperature conditions, ensuring durability and steadfastness. The adjoint approach is used to calculate the sensitivity of the multi-physics field, and the density function is updated using the method of moving asymptotes (MMA). The proposed method’s effectiveness is demonstrated through the examination of representative examples. Complex-coupled problems can be effectively addressed by achieving a well-defined topology and a stable iterative process. The optimization designs are effective in many temperature ranges, as they take into account several stress and dynamic restrictions under coupled thermal and self-weight load situations.</p>

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Stress-based multi-material topology optimization framework for self-weight and thermal loads involving dynamic constraints

  • 期刊论文

  • 发表日期：

    2026年1月27日

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  • Minh-Ngoc Nguyen,
  • Van-Nam Hoang,
  • Dongkyu Lee

摘要

This work proposes a novel problem in the field of multi-physical-material topology optimization (MPMTO). The analysis involves the study of heat conduction in a state of equilibrium and the consideration of the effects of self-weight loads, stress, compliance, and dynamic limitations. This discussion compares two optimization problems: stress minimization with volume restrictions, and compliance minimization with volume, stress, and dynamic constraints. The primary contributions of this study are as follows: (1) This study considers the problem of thermal–mechanical load coupling with self-weight load in multiple materials. (2) This study simultaneously explores stress-based MPMTO with thermal–mechanical load coupling and self-weight load. (3) This study investigates dynamics and stress-based MPMTO with nonuniform thermal load and self-weight load, resulting in a significant design improvement compared to optimized designs of the traditional single-physics model. (4) Multi-material topology optimization (MMTO) in multi-physics fields under multiple constraints employs the extended solid isotropic material penalization (SIMP) method. (5) The influence of design-dependent thermal and self-weight loads on maximizing the eigenvalues induced by thermal stress is taken into account along with stress and compliance constraints in MPMTO for the first time. These contributions support the development of functional structures that operate in high-temperature conditions while minimizing stress concentration and improving eigenvalues at the same time. Therefore, the structures continue to function well in the given temperature conditions, ensuring durability and steadfastness. The adjoint approach is used to calculate the sensitivity of the multi-physics field, and the density function is updated using the method of moving asymptotes (MMA). The proposed method’s effectiveness is demonstrated through the examination of representative examples. Complex-coupled problems can be effectively addressed by achieving a well-defined topology and a stable iterative process. The optimization designs are effective in many temperature ranges, as they take into account several stress and dynamic restrictions under coupled thermal and self-weight load situations.