{"title":"不规则结构的非结构化生长,优化转移结构","authors":"","doi":"10.1016/j.jmps.2024.105787","DOIUrl":null,"url":null,"abstract":"<div><p>Mechanical metastructures have been prevailing recently owing to their unusual mechanical responses. Despite notable progress in designing periodic metastructures, creating irregular and stochastic metastructures with optimized performance remains challenging because of the enlarged design space. In this study, we introduce a novel approach to realize the unstructured growth of irregular architectures for optimized metastructures. A “growth”-like design scheme is proposed to facilitate random yet controllable growth of predefined building blocks on an unstructured graph toward desired bulk properties. We also formulate a topology optimization framework that simultaneously optimizes building block selection and transformation (scaling, skew, and rotation) to generate metastructures with various optimized mechanical functionalities. These functionalities are achieved by harnessing the diverse homogenized material properties spanned by various frequency combinations of building blocks and the microstructure’s transformations. We discover metastructures that ensure geometric integrity and exhibit explicitly controllable and globally uniform feature sizes beneficial for fabrication. Moreover, the transformation-based topology optimization ensures these metastructures naturally conform to the boundaries of the design domain and can serve as mechanical infills. The proposed approach holds promise for uncovering optimized metastructures applicable across a wide array of engineering applications.</p></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":null,"pages":null},"PeriodicalIF":5.0000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unstructured growth of irregular architectures for optimized metastructures\",\"authors\":\"\",\"doi\":\"10.1016/j.jmps.2024.105787\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Mechanical metastructures have been prevailing recently owing to their unusual mechanical responses. Despite notable progress in designing periodic metastructures, creating irregular and stochastic metastructures with optimized performance remains challenging because of the enlarged design space. In this study, we introduce a novel approach to realize the unstructured growth of irregular architectures for optimized metastructures. A “growth”-like design scheme is proposed to facilitate random yet controllable growth of predefined building blocks on an unstructured graph toward desired bulk properties. We also formulate a topology optimization framework that simultaneously optimizes building block selection and transformation (scaling, skew, and rotation) to generate metastructures with various optimized mechanical functionalities. These functionalities are achieved by harnessing the diverse homogenized material properties spanned by various frequency combinations of building blocks and the microstructure’s transformations. We discover metastructures that ensure geometric integrity and exhibit explicitly controllable and globally uniform feature sizes beneficial for fabrication. Moreover, the transformation-based topology optimization ensures these metastructures naturally conform to the boundaries of the design domain and can serve as mechanical infills. The proposed approach holds promise for uncovering optimized metastructures applicable across a wide array of engineering applications.</p></div>\",\"PeriodicalId\":17331,\"journal\":{\"name\":\"Journal of The Mechanics and Physics of Solids\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Mechanics and Physics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022509624002539\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Mechanics and Physics of Solids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022509624002539","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Unstructured growth of irregular architectures for optimized metastructures
Mechanical metastructures have been prevailing recently owing to their unusual mechanical responses. Despite notable progress in designing periodic metastructures, creating irregular and stochastic metastructures with optimized performance remains challenging because of the enlarged design space. In this study, we introduce a novel approach to realize the unstructured growth of irregular architectures for optimized metastructures. A “growth”-like design scheme is proposed to facilitate random yet controllable growth of predefined building blocks on an unstructured graph toward desired bulk properties. We also formulate a topology optimization framework that simultaneously optimizes building block selection and transformation (scaling, skew, and rotation) to generate metastructures with various optimized mechanical functionalities. These functionalities are achieved by harnessing the diverse homogenized material properties spanned by various frequency combinations of building blocks and the microstructure’s transformations. We discover metastructures that ensure geometric integrity and exhibit explicitly controllable and globally uniform feature sizes beneficial for fabrication. Moreover, the transformation-based topology optimization ensures these metastructures naturally conform to the boundaries of the design domain and can serve as mechanical infills. The proposed approach holds promise for uncovering optimized metastructures applicable across a wide array of engineering applications.
期刊介绍:
The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics.
The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics.
The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.