{"title":"Data-driven diffusion generative design of energy-absorbing metamaterials using implicit surface representation","authors":"Haoyu Wang , Haisen Xu , Hanlin Xiao , Shan Tang","doi":"10.1016/j.apm.2025.116467","DOIUrl":null,"url":null,"abstract":"<div><div>Currently, the design of energy-absorbing materials and structures primarily relies on empirical or heuristic methods. Motivated by advances in generative artificial intelligence techniques, a data-driven diffusion generative approach using implicit surface representation for energy-absorbing metamaterial design is proposed. This approach utilizes the diffusion model to learn the conditional distribution of metamaterial based on specified mechanical properties, converting target properties into potential metamaterial topologies. Additionally, level set-based implicit surface representation ensures that the generated metamaterials have high-quality geometric shapes and clear boundary definitions, enhancing design flexibility while requiring fewer design variables. Numerical simulations and experimental results consistently verify that the proposed approach enables rapid and accurate design of metamaterials tailored to target mechanical performance. This method offers an innovative and efficient solution for the accelerated design of energy-absorbing metamaterials, providing a new perspective and approach to address complex engineering design challenges.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116467"},"PeriodicalIF":4.4000,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25005414","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Currently, the design of energy-absorbing materials and structures primarily relies on empirical or heuristic methods. Motivated by advances in generative artificial intelligence techniques, a data-driven diffusion generative approach using implicit surface representation for energy-absorbing metamaterial design is proposed. This approach utilizes the diffusion model to learn the conditional distribution of metamaterial based on specified mechanical properties, converting target properties into potential metamaterial topologies. Additionally, level set-based implicit surface representation ensures that the generated metamaterials have high-quality geometric shapes and clear boundary definitions, enhancing design flexibility while requiring fewer design variables. Numerical simulations and experimental results consistently verify that the proposed approach enables rapid and accurate design of metamaterials tailored to target mechanical performance. This method offers an innovative and efficient solution for the accelerated design of energy-absorbing metamaterials, providing a new perspective and approach to address complex engineering design challenges.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.