Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation

Abstract Mechanical metamaterials represent a distinct category of engineered materials characterized by their tailored density distributions to have unique properties. It is challenging to create continuous density distributions to design a smooth mechanical metamaterial sequence in which each meta...

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Main Authors: Yunkai Zhao, Lili Wang, Xiaoya Zhai, Jiacheng Han, Winston Wai Shing Ma, Junhao Ding, Yonggang Gu, Xiao‐Ming Fu
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Advanced Science
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Online Access:https://doi.org/10.1002/advs.202410428
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author Yunkai Zhao
Lili Wang
Xiaoya Zhai
Jiacheng Han
Winston Wai Shing Ma
Junhao Ding
Yonggang Gu
Xiao‐Ming Fu
author_facet Yunkai Zhao
Lili Wang
Xiaoya Zhai
Jiacheng Han
Winston Wai Shing Ma
Junhao Ding
Yonggang Gu
Xiao‐Ming Fu
author_sort Yunkai Zhao
collection DOAJ
description Abstract Mechanical metamaterials represent a distinct category of engineered materials characterized by their tailored density distributions to have unique properties. It is challenging to create continuous density distributions to design a smooth mechanical metamaterial sequence in which each metamaterial possesses stiffness close to the theoretical limit in all directions. This study proposes three near‐isotropic, extreme‐stiffness, and continuous 3D mechanical metamaterial sequences by combining topology optimization and data‐driven design. Through innovative structural design, the sequences achieve over 98% of the Hashin–Shtrikman upper bounds in the most unfavorable direction. This performance spans a relative density range of 0.2–1, surpassing previous designs, which fall short at medium and higher densities. Moreover, the metamaterial sequence is innovatively represented by the implicit neural function; thus, it is resolution‐free to exhibit continuously varying densities. Experimental validation demonstrates the manufacturability and high stiffness of the three sequences.
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institution Kabale University
issn 2198-3844
language English
publishDate 2025-01-01
publisher Wiley
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series Advanced Science
spelling doaj-art-f65602ff1f714023b8eb37c0f7757f892025-01-20T13:04:18ZengWileyAdvanced Science2198-38442025-01-01123n/an/a10.1002/advs.202410428Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural RepresentationYunkai Zhao0Lili Wang1Xiaoya Zhai2Jiacheng Han3Winston Wai Shing Ma4Junhao Ding5Yonggang Gu6Xiao‐Ming Fu7Department of Mathematical Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaDepartment of Mathematical Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaDepartment of Mathematical Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaDepartment of Mathematical Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaDepartment of Mechanical and Automation Engineering The Chinese University of Hong Kong Hong Kong ChinaDepartment of Mechanical and Automation Engineering The Chinese University of Hong Kong Hong Kong ChinaExpertmental Center of Engineering and Material Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaDepartment of Mathematical Sciences University of Science and Technology of China Hefei Anhui 230026 ChinaAbstract Mechanical metamaterials represent a distinct category of engineered materials characterized by their tailored density distributions to have unique properties. It is challenging to create continuous density distributions to design a smooth mechanical metamaterial sequence in which each metamaterial possesses stiffness close to the theoretical limit in all directions. This study proposes three near‐isotropic, extreme‐stiffness, and continuous 3D mechanical metamaterial sequences by combining topology optimization and data‐driven design. Through innovative structural design, the sequences achieve over 98% of the Hashin–Shtrikman upper bounds in the most unfavorable direction. This performance spans a relative density range of 0.2–1, surpassing previous designs, which fall short at medium and higher densities. Moreover, the metamaterial sequence is innovatively represented by the implicit neural function; thus, it is resolution‐free to exhibit continuously varying densities. Experimental validation demonstrates the manufacturability and high stiffness of the three sequences.https://doi.org/10.1002/advs.202410428extreme stiffnessimplicit neural representationisotropic metamaterialsmetamaterial sequences
spellingShingle Yunkai Zhao
Lili Wang
Xiaoya Zhai
Jiacheng Han
Winston Wai Shing Ma
Junhao Ding
Yonggang Gu
Xiao‐Ming Fu
Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
Advanced Science
extreme stiffness
implicit neural representation
isotropic metamaterials
metamaterial sequences
title Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
title_full Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
title_fullStr Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
title_full_unstemmed Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
title_short Near‐Isotropic, Extreme‐Stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation
title_sort near isotropic extreme stiffness continuous 3d mechanical metamaterial sequences using implicit neural representation
topic extreme stiffness
implicit neural representation
isotropic metamaterials
metamaterial sequences
url https://doi.org/10.1002/advs.202410428
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