Elastically isotropic open-cell uniform thickness shell lattices with optimized elastic moduli via shape optimization

Ma, Qingping; Zhang, Lei; Wang, Michael Yu

doi:10.1016/j.matdes.2022.110426

Cited by 16 publications

(3 citation statements)

References 41 publications

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“…For instance, hollowed struts were used instead of solid struts in elementary microstructures, where the interior and exterior radii of the struts were varied to realize isotropic stiffness [17]. Ma et al [18] designed isotropic shell lattices with uniform thicknesses by solving a constrained shape optimization problem. Soyarslan et al [19] obtained isotropic stiffness by tuning the parameters in the approximate representation of minimal surfaces to vary shell shapes.…”

Section: Introductionmentioning

confidence: 99%

Design of hierarchical microstructures with isotropic elastic stiffness

Yu¹,

Wang²,

Luo³

et al. 2023

Materials & Design

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Section: Introductionmentioning

confidence: 99%

Design of hierarchical microstructures with isotropic elastic stiffness

Yu¹,

Wang²,

Luo³

et al. 2023

Materials & Design

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“…The advantageous geometrical form of the smooth surface of TPMS also attributed to superior performance in large geometrical deformation, leading to better energy absorption capacity [35][36][37][38][39][40] . Despite a series of excellent properties of shell-based lattices, their topological configurations usually have fewer variations and tunable dimensions are limited to the shape 41 and thickness 42 .…”

Section: Introductionmentioning

confidence: 99%

Achieving extreme stiffness for beam-plate-shell-combined lattice metamaterial through a multilayer strategy and topology optimization

Du,

Liu,

Wang

et al. 2023

Preprint

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Metamaterials composed of different geometrical primitives have different properties. Corresponding to the fundamental geometrical forms of line, plane, and surface, beam-, plate-, and shell-based cellular lattice metamaterials enjoy many advantages in many aspects, respectively. To fully exploit the advantages of each structural archetype, we propose a multilayer strategy and topology optimization technique to design cellular lattice metamaterial in this study. Under the frame of the multilayer strategy, the design space is enlarged, and the design freedom is increased. Topology optimization is applied to explore better designs in the larger design space. Beam-plate-shell-combined metamaterials automatically emerge from the optimization to achieve extreme stiffness. Benefiting from high stiffness, energy absorption performances of optimized results also demonstrate substantial improvements under large geometrical deformation. The multilayer strategy and topology optimization can also bring a series of tunable dimensions for cellular lattice design, which helps achieve desired mechanical properties, such as isotropic elasticity and functionally grading material property, and superior performances in acoustic tuning, electrostatic shielding, and fluid field tuning. We envision that a broad array of novel synthetic and composite metamaterials with unprecedented performance can be designed with the multilayer strategy and topology optimization.

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“…The advantageous geometrical form of the smooth surface of TPMS also attributed to superior performance in large geometrical deformation, leading to better energy absorption capacity [34][35][36][37][38][39] . Despite a series of excellent properties of shell-based lattices, their topological configurations usually have fewer variations, and tunable dimensions are limited to the shape 40 and thickness 41 .…”

mentioning

confidence: 99%

Ultrastiff metamaterials generated through a multilayer strategy and topology optimization

Liu,

Wang,

Ren

et al. 2024

Nat Commun

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Metamaterials composed of different geometrical primitives have different properties. Corresponding to the fundamental geometrical forms of line, plane, and surface, beam-, plate-, and shell-based lattice metamaterials enjoy many advantages in many aspects, respectively. To fully exploit the advantages of each structural archetype, we propose a multilayer strategy and topology optimization technique to design lattice metamaterial in this study. Under the frame of the multilayer strategy, the design space is enlarged and diversified, and the design freedom is increased. Topology optimization is applied to explore better designs in the larger and diverse design space. Beam-plate-shell-combined metamaterials automatically emerge from the optimization to achieve ultrahigh stiffness. Benefiting from high stiffness, energy absorption performances of optimized results also demonstrate substantial improvements under large geometrical deformation. The multilayer strategy and topology optimization can also bring a series of tunable dimensions for lattice design, which helps achieve desired mechanical properties, such as isotropic elasticity and functionally grading material property, and superior performances in acoustic tuning, electrostatic shielding, and fluid field tuning. We envision that a broad array of synthetic and composite metamaterials with unprecedented performance can be designed with the multilayer strategy and topology optimization.

show abstract

Elastically isotropic open-cell uniform thickness shell lattices with optimized elastic moduli via shape optimization

Cited by 16 publications

References 41 publications

Design of hierarchical microstructures with isotropic elastic stiffness

Design of hierarchical microstructures with isotropic elastic stiffness

Achieving extreme stiffness for beam-plate-shell-combined lattice metamaterial through a multilayer strategy and topology optimization

Ultrastiff metamaterials generated through a multilayer strategy and topology optimization

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