{"title":"A multi-scale homogenization framework for design and strain-gradient modeling of additively manufactured parts fabricated by particulate composites","authors":"B. Cagri Sarar, M. Erden Yildizdag, B. Emek Abali","doi":"10.1007/s00161-024-01320-5","DOIUrl":null,"url":null,"abstract":"<div><p>Classical homogenization approaches applied to heterogeneous materials are suitable for the cases where a scale-separation is eminent. As the length-scale at the effective continuum reaches the length-scale of the microstructure of the material, classical homogenization approaches fail to be accurate. In such cases, higher-gradient theories may be stimulated for multi-scale material modeling of complex structures in terms of geometry and material. In this study, a multi-scale homogenization framework is presented for additively manufactured (3-D printed) composite parts with specific infill design. The overall framework consists of two major steps, namely micro-to-material and material-to-structure homogenization. In both steps, an asymptotic homogenization procedure is applied to determine constitutive parameters. In the micro-to-material homogenization, the constitutive parameters of the composite material are first determined regarding the material composition. Then, in the material-to-structure homogenization, the constitutive parameters are obtained regarding the infill design of the additively manufactured part. The developed two-step homogenization framework is applied for an off-the-shelf composite material commonly used in 3-D printers. Specifically, in this study, composite parts printed with grid infills are investigated numerically considering different infill ratios.\n</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 6","pages":"1629 - 1643"},"PeriodicalIF":1.9000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Continuum Mechanics and Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00161-024-01320-5","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Classical homogenization approaches applied to heterogeneous materials are suitable for the cases where a scale-separation is eminent. As the length-scale at the effective continuum reaches the length-scale of the microstructure of the material, classical homogenization approaches fail to be accurate. In such cases, higher-gradient theories may be stimulated for multi-scale material modeling of complex structures in terms of geometry and material. In this study, a multi-scale homogenization framework is presented for additively manufactured (3-D printed) composite parts with specific infill design. The overall framework consists of two major steps, namely micro-to-material and material-to-structure homogenization. In both steps, an asymptotic homogenization procedure is applied to determine constitutive parameters. In the micro-to-material homogenization, the constitutive parameters of the composite material are first determined regarding the material composition. Then, in the material-to-structure homogenization, the constitutive parameters are obtained regarding the infill design of the additively manufactured part. The developed two-step homogenization framework is applied for an off-the-shelf composite material commonly used in 3-D printers. Specifically, in this study, composite parts printed with grid infills are investigated numerically considering different infill ratios.
期刊介绍:
This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena.
Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.