Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress

Chancharoen, Wares; Azegami, Hideyuki

doi:10.1007/s00158-018-1937-z

Struct Multidisc Optim

2018

DOI: 10.1007/s00158-018-1937-z

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Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress

Wares Chancharoen

Hideyuki Azegami

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Cited by 3 publications

References 26 publications

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Multi‐material topology optimization considering arbitrary strength and yield criteria constraints with single‐variable interpolation

Ding,

Liao,

Yuan

2024

Numerical Meth Engineering

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Material heterogeneity gives composite constructions unique mechanical and physical qualities. Combining multiple materials takes full use of these features in stress‐constrained topology optimization. Traditional research in this field often assumes a consistent yield criterion for all possible materials but adapts their stiffness and strengths accordingly. To cope with this challenge, an innovative single‐variable interpolation approach is proposed to enable the simultaneous inclusion of distinct yield criteria and material strengths. A stress‐constrained topology optimization formulation is presented based on this yield function interpolation method, which can independently support various materials with different elastic characteristics, material strengths, and yield criteria. Then, the large‐scale problem of local stress constraints can be effectively solved by the Augmented Lagrangian (AL) method. Several two‐dimensional (2D) and three‐dimensional (3D) design scenarios are investigated to reduce the overall mass of the structure while considering stress constraints. The optimal composite designs exhibit several crucial benefits resulting from material heterogeneity, including the enlargement of the design possibilities, the dispersion of stress, and the utilization of asymmetry in tension‐compression strength.

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Multi‐material topology optimization considering arbitrary strength and yield criteria constraints with single‐variable interpolation

Ding,

Liao,

Yuan

2024

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

Response of shape optimization of thin-walled curved beam and rib formation from unstable structure growth in optimization

Fukada

Minagawa²,

Nakazato³

et al. 2018

Struct Multidisc Optim

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Optimization method of electronic control parameters of antenna array for null controlling in specific regions and sidelobe suppression

Tang,

Liu,

Gao

et al. 2023

International Journal of Electronics

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Topology optimization of density type for a linear elastic body by using the second derivative of a KS function with respect to von Mises stress

Cited by 3 publications

References 26 publications

Multi‐material topology optimization considering arbitrary strength and yield criteria constraints with single‐variable interpolation

Multi‐material topology optimization considering arbitrary strength and yield criteria constraints with single‐variable interpolation

Response of shape optimization of thin-walled curved beam and rib formation from unstable structure growth in optimization

Optimization method of electronic control parameters of antenna array for null controlling in specific regions and sidelobe suppression

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