Introduction to mechanical metamaterials and their effective properties
Metamaterials are rationally designed composites made of building blocks which are composed of one or more constituent materials. Metamaterial properties can go beyond those of the ingredient materials, both qualitatively and quantitatively. In addition, their properties can be mapped on some genera...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-11-01
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| Series: | Comptes Rendus. Physique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.30/ |
| _version_ | 1797651394370469888 |
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| author | Chen, Xueyan Laforge, Nicolas Ji, Qingxiang Tan, Huifeng Liang, Jun Ulliac, Gwenn Moughames, Johnny Adrar, Samia Laude, Vincent Kadic, Muamer |
| author_facet | Chen, Xueyan Laforge, Nicolas Ji, Qingxiang Tan, Huifeng Liang, Jun Ulliac, Gwenn Moughames, Johnny Adrar, Samia Laude, Vincent Kadic, Muamer |
| author_sort | Chen, Xueyan |
| collection | DOAJ |
| description | Metamaterials are rationally designed composites made of building blocks which are composed of one or more constituent materials. Metamaterial properties can go beyond those of the ingredient materials, both qualitatively and quantitatively. In addition, their properties can be mapped on some generalized continuum model. We present the general procedure of designing elastic metamaterials based on masses and springs. We show that using this simple approach we can design any set of effective properties including linear elastic metamaterials,—defined by bulk modulus, shear modulus, mass density—and nonlinear metamaterials,—with instabilities or programmable parts. We present designs and corresponding numerical calculations to illustrate their constitutive behavior. Finally, we discuss the addition of a thermal stimulus to mechanical metamaterials. |
| first_indexed | 2024-03-11T16:15:19Z |
| format | Article |
| id | doaj.art-8fa45409cb7249dba144e08e65c60193 |
| institution | Directory Open Access Journal |
| issn | 1878-1535 |
| language | English |
| last_indexed | 2024-03-11T16:15:19Z |
| publishDate | 2020-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj.art-8fa45409cb7249dba144e08e65c601932023-10-24T14:21:50ZengAcadémie des sciencesComptes Rendus. Physique1878-15352020-11-01217-875176510.5802/crphys.3010.5802/crphys.30Introduction to mechanical metamaterials and their effective propertiesChen, Xueyan0Laforge, Nicolas1Ji, Qingxiang2Tan, Huifeng3Liang, Jun4Ulliac, Gwenn5Moughames, Johnny6Adrar, Samia7Laude, Vincent8Kadic, Muamer9Institut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, France; National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology; 92 Xidazhi Street, Harbin, 150001, PR ChinaInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, France; National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology; 92 Xidazhi Street, Harbin, 150001, PR ChinaNational Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology; 92 Xidazhi Street, Harbin, 150001, PR ChinaNational Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology; 92 Xidazhi Street, Harbin, 150001, PR China; Institute of Advanced Structure Technology, Beijing Institute of Technology, No. 5 South Zhongguancun Street, Haidian District, Beijing, 100081, PR ChinaInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceInstitut FEMTO-ST, UMR 6174, CNRS, Université de Bourgogne Franche-Comté, 25000 Besançon, FranceMetamaterials are rationally designed composites made of building blocks which are composed of one or more constituent materials. Metamaterial properties can go beyond those of the ingredient materials, both qualitatively and quantitatively. In addition, their properties can be mapped on some generalized continuum model. We present the general procedure of designing elastic metamaterials based on masses and springs. We show that using this simple approach we can design any set of effective properties including linear elastic metamaterials,—defined by bulk modulus, shear modulus, mass density—and nonlinear metamaterials,—with instabilities or programmable parts. We present designs and corresponding numerical calculations to illustrate their constitutive behavior. Finally, we discuss the addition of a thermal stimulus to mechanical metamaterials.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.30/MetamaterialsEffective parametersElasticityAnisotropyWavesCauchy elasticityNavier equation |
| spellingShingle | Chen, Xueyan Laforge, Nicolas Ji, Qingxiang Tan, Huifeng Liang, Jun Ulliac, Gwenn Moughames, Johnny Adrar, Samia Laude, Vincent Kadic, Muamer Introduction to mechanical metamaterials and their effective properties Comptes Rendus. Physique Metamaterials Effective parameters Elasticity Anisotropy Waves Cauchy elasticity Navier equation |
| title | Introduction to mechanical metamaterials and their effective properties |
| title_full | Introduction to mechanical metamaterials and their effective properties |
| title_fullStr | Introduction to mechanical metamaterials and their effective properties |
| title_full_unstemmed | Introduction to mechanical metamaterials and their effective properties |
| title_short | Introduction to mechanical metamaterials and their effective properties |
| title_sort | introduction to mechanical metamaterials and their effective properties |
| topic | Metamaterials Effective parameters Elasticity Anisotropy Waves Cauchy elasticity Navier equation |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.30/ |
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