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<p>Buckling and stress are critical considerations in the construction of optimal structures. Numerous studies examine the buckling and stress limits for both single- and multiple-material structures. However, these studies neglect the influence of heat and self-weight loads when considering buckling and stress variables, leading to optimized structures that lack reliability in real designs. This is because practical structures inevitably experience the effects of self-weighted and thermal loads. This paper addresses the shortage by presenting the following key points: (1) the buckling-constrained multi-material topology optimization that accounts for self-weight and thermoelastic loads; (2) the formulation of mass and buckling constraints in lieu of volume constraints, enabling control over weight levels and improving the stability of the optimized designs. (3) Stress and buckling factors are concurrently addressed in multi-material topology optimization (MMTO) under thermoelastic and self-weight loads; (4) Three-dimensional (3D) MMTO under thermal and self-weight loads is managed using the extended Solid Isotropic Material with Penalization (SIMP) method; (5) Three-dimensional buckling and stress-constrained multi-material topology optimization is introduced to validate the proposed methodology. This work employs numerical examples of two-dimensional (2D) and 3D architectures to validate the proposed method.</p>

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Buckling-constrained and stress-based multi-material topology optimization framework for thermoelastic and self-weight structures

  • 期刊论文

  • 发表日期：

    2025年9月23日

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  • Minh-Ngoc Nguyen,
  • Dongkyu Lee

摘要

Buckling and stress are critical considerations in the construction of optimal structures. Numerous studies examine the buckling and stress limits for both single- and multiple-material structures. However, these studies neglect the influence of heat and self-weight loads when considering buckling and stress variables, leading to optimized structures that lack reliability in real designs. This is because practical structures inevitably experience the effects of self-weighted and thermal loads. This paper addresses the shortage by presenting the following key points: (1) the buckling-constrained multi-material topology optimization that accounts for self-weight and thermoelastic loads; (2) the formulation of mass and buckling constraints in lieu of volume constraints, enabling control over weight levels and improving the stability of the optimized designs. (3) Stress and buckling factors are concurrently addressed in multi-material topology optimization (MMTO) under thermoelastic and self-weight loads; (4) Three-dimensional (3D) MMTO under thermal and self-weight loads is managed using the extended Solid Isotropic Material with Penalization (SIMP) method; (5) Three-dimensional buckling and stress-constrained multi-material topology optimization is introduced to validate the proposed methodology. This work employs numerical examples of two-dimensional (2D) and 3D architectures to validate the proposed method.