Structural optimization of metamaterials based on periodic surface modeling

Lu, Yanglong; Wang, Yan

doi:10.1016/j.cma.2022.115057

Cited by 9 publications

(3 citation statements)

References 73 publications

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“…However, the optimization process considers the microstructure effect exclusively by its effective (homogenized) behavior. Various previous studies have investigated the potential macro-micro design optimization [37,31,28,71,65,26,55,70,63,42]], and most of the corresponding papers are based on scale separation assumptions and periodic homogenization theory.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of periodic beam lattices using Cosserat elasticity

Molnár

Blal

2023

Computers & Structures

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Section: Introductionmentioning

confidence: 99%

Topology optimization of periodic beam lattices using Cosserat elasticity

Molnár

Blal

2023

Computers & Structures

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“…Topology optimization targets on redistributing material to achieve reasonable configuration with prescribed objectives and constraints 43,44 . To date, topology optimization has been applied to metamaterial design in many aspects [45][46][47][48][49][50][51] . As can be seen in Figure 1b, optimized solutions in this study automatically converge into a comprehensive combination of beam, plate, and shell, which can fully utilize material with different structural archetypes.…”

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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“…Topology optimization targets on redistributing material to achieve reasonable configuration with prescribed objectives and constraints 42,43 . To date, topology optimization has been applied to metamaterial design in many aspects [44][45][46][47][48][49][50] . As can be seen in Fig.…”

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

Structural optimization of metamaterials based on periodic surface modeling

Cited by 9 publications

References 73 publications

Topology optimization of periodic beam lattices using Cosserat elasticity

Topology optimization of periodic beam lattices using Cosserat elasticity

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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