{"title":"A model packing based on a tree of face-to-face regular tetrahedra for monodisperse spheres","authors":"Alain de Ryck","doi":"10.1007/s10035-023-01331-0","DOIUrl":null,"url":null,"abstract":"<p>The packing bed of monodisperse spheres is modelled by a tree of face-to-face regular tetrahedra which vertices are the location of the bead’s centres. A packing fraction of 0.433 is obtained when this cluster of spheres occupies the maximum space available, without pores large enough to accommodate a new sphere. This value and other structure descriptors—coordination numbers and local packing fraction distributions—are compared with experimental or numerical simulations observations of beds of monodisperse spheres built with different protocols and with capillary or Van-der-Waals forces.</p>","PeriodicalId":582,"journal":{"name":"Granular Matter","volume":"25 3","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2023-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10035-023-01331-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Granular Matter","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10035-023-01331-0","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The packing bed of monodisperse spheres is modelled by a tree of face-to-face regular tetrahedra which vertices are the location of the bead’s centres. A packing fraction of 0.433 is obtained when this cluster of spheres occupies the maximum space available, without pores large enough to accommodate a new sphere. This value and other structure descriptors—coordination numbers and local packing fraction distributions—are compared with experimental or numerical simulations observations of beds of monodisperse spheres built with different protocols and with capillary or Van-der-Waals forces.
期刊介绍：
Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science.
These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations.
>> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa.
The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.
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