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An efficient multi-material topology optimization method for thermoelastic structures

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Organization
Abstract
In this article, we present a novel material interpolation scheme so-called ordered RAMP for multi-material topology optimization considering coupled thermo-mechanical loading. In the proposed interpolation scheme, the number of design variables is not increased along with the number of candidate solid materials, thus the proposed method is efficient from the optimization viewpoint. Moreover, the ordered RAMP method can help to overcome the so-called parasitic effect, which usually occurs in the topology optimization of thermoelastic structures. Additionally, different from most of the works in literature in which the temperature field is prescribed, in our work, the temperature distribution in the design domain can be a priori unknown. What is more, to avoid nonphysical intermediate materials, the Heaviside projection filter is adapted for multi-material cases and successfully employed in our work. The proposed method is employed to find optimized materials distribution in both 2D and 3D structures, which are subjected to thermo-mechanical loading, to minimize a certain objective function. In this paper, we consider different types of objective functions, which can be either a global quantity, e.g., the structural compliance or the strain energy, or a local quantity, e.g., the maximum von Mises stress or the maximum displacement amplitude in the structure. Different gradient-based optimization algorithms, viz., the method of moving asymptotes, the sequentially quadratic programming, and the interior point linear search method were used in the optimization process with the sensitivity analysis obtained by using the adjoint method. The obtained results are successfully verified with some benchmark problems available from the literature and we proposed some numerical examples that can serve as benchmarks for 3D multi-material topology optimization of thermoelastic structures.
Keywords
Multi-material topology optimization, additive manufacturing, finite element analyses, thermoelasticity

Citation

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MLA
Dinh, Tien Dung, et al. “An Efficient Multi-Material Topology Optimization Method for Thermoelastic Structures.” WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts, 2023.
APA
Dinh, T. D., Hedayatrasa, S., Bormann, F., Bosman, M., & Van Paepegem, W. (2023). An efficient multi-material topology optimization method for thermoelastic structures. WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts. Presented at the WCSMO-15 : the 15th World Congress of Structural and Multidisciplinary Optimization, Cork, Ireland.
Chicago author-date
Dinh, Tien Dung, Saeid Hedayatrasa, Franz Bormann, Marko Bosman, and Wim Van Paepegem. 2023. “An Efficient Multi-Material Topology Optimization Method for Thermoelastic Structures.” In WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts.
Chicago author-date (all authors)
Dinh, Tien Dung, Saeid Hedayatrasa, Franz Bormann, Marko Bosman, and Wim Van Paepegem. 2023. “An Efficient Multi-Material Topology Optimization Method for Thermoelastic Structures.” In WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts.
Vancouver
1.
Dinh TD, Hedayatrasa S, Bormann F, Bosman M, Van Paepegem W. An efficient multi-material topology optimization method for thermoelastic structures. In: WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts. 2023.
IEEE
[1]
T. D. Dinh, S. Hedayatrasa, F. Bormann, M. Bosman, and W. Van Paepegem, “An efficient multi-material topology optimization method for thermoelastic structures,” in WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts, Cork, Ireland, 2023.
@inproceedings{01HBV3HKV4MT0Z9591KMS8B1K3,
  abstract     = {{In this article, we present a novel material interpolation scheme so-called ordered RAMP  for multi-material topology optimization considering coupled thermo-mechanical loading. In the proposed interpolation scheme, the number of design variables is not increased along with the number of candidate solid materials, thus the proposed method is efficient from the optimization viewpoint. Moreover, the ordered RAMP method can help to overcome the so-called parasitic effect, which usually occurs in the topology optimization of thermoelastic structures. Additionally, different from most of the works in literature in which the temperature field is prescribed, in our work, the temperature distribution in the design domain can be a priori unknown. What is more, to avoid nonphysical intermediate materials, the Heaviside projection filter is adapted for multi-material cases and successfully employed in our work. The proposed method is employed to find optimized materials distribution in both 2D and 3D structures, which are subjected to thermo-mechanical loading, to minimize a certain objective function. In this paper, we consider different types of objective functions, which can be either a global quantity, e.g., the structural compliance or the strain energy, or a local quantity, e.g., the maximum von Mises stress or the maximum displacement amplitude in the structure. Different gradient-based optimization algorithms, viz., the method of moving asymptotes, the sequentially quadratic programming, and the interior point linear search method were used in the optimization process with the sensitivity analysis obtained by using the adjoint method. The obtained results are successfully verified with some benchmark problems available from the literature and we proposed some numerical examples that can serve as benchmarks for 3D multi-material topology optimization of thermoelastic structures.}},
  author       = {{Dinh, Tien Dung and Hedayatrasa, Saeid and Bormann, Franz and Bosman, Marko and Van Paepegem, Wim}},
  booktitle    = {{WCSMO-15, the 15th World Congress of Structural and Multidisciplinary Optimization, Abstracts}},
  keywords     = {{Multi-material topology optimization,additive manufacturing,finite element analyses,thermoelasticity}},
  language     = {{eng}},
  location     = {{Cork, Ireland}},
  title        = {{An efficient multi-material topology optimization method for thermoelastic structures}},
  year         = {{2023}},
}