Microstructure topology optimization by targeting prescribed nonlinear stress-strain relationships

Kim, Seongik; Yun, Gun Jin

doi:10.1016/j.ijplas.2020.102684

Cited by 6 publications

(2 citation statements)

References 85 publications

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“…Extensions of topology optimization to nonlinear properties exist 17,18 but remain challenging due to strong dependence on the initial guess and discretization 19 , lack of physical effects such as contact 20 and degrading solver stability when considering non-trivial mechanisms such as post-buckling 21 . Most importantly, a single optimization study may require hours of runtime, which is a prime reason why recent studies focused on rather simple design spaces and optimization objectives 22,23 .…”

Section: Video Denoising Diffusion Modelmentioning

confidence: 99%

Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models

Bastek,

Kochmann

2023

Nat Mach Intell

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The accelerated inverse design of complex material properties—such as identifying a material with a given stress–strain response over a nonlinear deformation path—holds great potential for addressing challenges from soft robotics to biomedical implants and impact mitigation. Although machine learning models have provided such inverse mappings, they are typically restricted to linear target properties such as stiffness. Here, to tailor the nonlinear response, we show that video diffusion generative models trained on full-field data of periodic stochastic cellular structures can successfully predict and tune their nonlinear deformation and stress response under compression in the large-strain regime, including buckling and contact. Key to success is to break from the common strategy of directly learning a map from property to design and to extend the framework to intrinsically estimate the expected deformation path and the full-field internal stress distribution, which closely agree with finite element simulations. This work thus has the potential to simplify and accelerate the identification of materials with complex target performance.

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Section: Video Denoising Diffusion Modelmentioning

confidence: 99%

Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models

Bastek,

Kochmann

2023

Nat Mach Intell

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“…Topology optimization provides an innovative initial structure for the FIP design and a powerful initial solution for designing chiral metamaterials with enhanced energy absorption performance [ 10 , 11 ]. Kim et al [ 12 ] proposed a topology optimization method using microstructure to represent volume elements. This method takes a specific stress–strain curve as the target rather than aiming at the mechanical parameters.…”

Section: Introductionmentioning

confidence: 99%

A Novel Design Method for Energy Absorption Property of Chiral Mechanical Metamaterials

Gao

Wang

et al. 2021

Materials

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In this paper, a full-cycle interactive progressive (FIP) method that integrates topology optimization, parametric optimization, and experimental analysis to determine the optimal energy absorption properties in the design of chiral mechanical metamaterials is proposed. The FIP method has improved ability and efficiency compared with traditional design methods due to strengthening the overall design, introducing surrogate models, and its consideration of the application conditions. Here, the FIP design was applied in the design of mechanical metamaterials with optimized energy absorption properties, and a chiral mechanical metamaterial with good energy absorption and impact resistance was obtained based on the rotation mechanism of metamaterials with a negative Poisson’s ratio. The relationship among the size parameters, applied boundary conditions, and energy absorption properties were studied. An impact compression experiment using a self-made Fiber Bragg Grating sensor was carried out on the chiral mechanical metamaterial. In light of the large deviation of the experimental and simulation data, a feedback adjustment was carried out by adjusting the structural parameters to further improve the mechanical properties of the chiral mechanical metamaterial. Finally, human–computer interaction, self-innovation, and a breakthrough in the design limits of the optimized model were achieved. The results illustrate the effectiveness of the FIP design method in improving the energy absorption properties in the design of chiral mechanical metamaterials.

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A topology optimization method for hyperelastic porous structures subject to large deformation

Huang

et al. 2021

Int J Mech Mater Des

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Microstructure topology optimization by targeting prescribed nonlinear stress-strain relationships

Cited by 6 publications

References 85 publications

Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models

Inverse design of nonlinear mechanical metamaterials via video denoising diffusion models

A Novel Design Method for Energy Absorption Property of Chiral Mechanical Metamaterials

A topology optimization method for hyperelastic porous structures subject to large deformation

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