Multi-directional cloaking structure design using topology optimization

Jung, Mingook; Heo, Namjoon; Park, Jin-Woo; Yoo, Jeonghoon

doi:10.1080/09205071.2020.1866683

Cited by 9 publications

(2 citation statements)

References 34 publications

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“…By contrast, the method proposed by Yamada et al [8], which updates the level set function with the reaction-diffusion equation, allows easy control of the geometric complexity of the optimal structure and is applicable to a wide range of design problems. In fact, this method has been used to solve elasticity [10,11,12], thermal [13,14], acoustic [15,16,17], electromagnetic [18,19], fluid [20], current control [21], thermoelectric [22], multiple material [23,24,25], and other optimal design problems, confirming its high extendibility.…”

Section: Introductionmentioning

confidence: 91%

Extended level set method: a multiphase representation with perfect symmetric property, and its application to multi material topology optimization

Noda,

Noguchi,

Yamada

2021

Preprint

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This paper provides an extended level set (X-LS) based topology optimization method for multi material design. In the proposed method, each zero level set of a level set function φ ij represents the boundary between materials i and j. Each increase or decrease of φ ij corresponds to a material change between the two materials. This approach reduces the dependence of the initial configuration in the optimization calculation and simplifies the sensitivity analysis. First, the topology optimization problem is formulated in the X-LS representation. Next, the reaction-diffusion equation that updates the level set function is introduced, and an optimization algorithm that solves the equilibrium equations and the reaction-diffusion equation using the finite element method is constructed. Finally, the validity and utility of the proposed topology optimization method are confirmed using two-and threedimensional numerical examples.

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Section: Introductionmentioning

confidence: 91%

Extended level set method: a multiphase representation with perfect symmetric property, and its application to multi material topology optimization

Noda,

Noguchi,

Yamada

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…CO2 CFRP Bendsøe and Kikuchi, 1988Bendsøe, 1989Allaire et al, 2004Yamada et al, 2010 Yamada ( 2010) (Emmendoerfer and Fancello, 2016, Emmendoerfer et al, 2018, Emmendoerfer et al, 2020) (Yamada et al, 2011, Jahangiry andJahangiri, 2019) (Isakari et al, 2014, Lanznaster et al, 2020) , Fujii and Ueta, 2016, Jung et al, 2020) ) (Fujii and Akimoto, 2019a) (Fujii and Akimoto, 2019b) (Cui et al, 2016, Kishimoto et al 2017 Piecewise Constant Level Set (PCLS) Color Level Set (ColorLS) Multi Material Level Set (MMLS) , Cui et al, 2016) Vector Valued Level Set (VVLS) (Gangl, 2020) PCLS…”

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confidence: 99%