{"title":"静态颗粒床稳态应力张量不变量的主曲线。对热力学相空间的启示","authors":"L. Pugnaloni, J. Damas, I. Zuriguel, D. Maza","doi":"10.4279/PIP.030004","DOIUrl":null,"url":null,"abstract":"We prepare static granular beds under gravity in different stationary states by tapping the system with pulsed excitations of controlled amplitude and duration. The macroscopic state---defined by the ensemble of static configurations explored by the system tap after tap---for a given tap intensity and duration is studied in terms of volume, , and force moment tensor, . In a previous paper [Pugnaloni et al., Phys. Rev. E 82, 050301(R) (2010)], we reported evidence supporting that such macroscopic states cannot be fully described by using only or , apart from the number of particles . In this work, we present an analysis of the fluctuations of these variables that indicates that and may be sufficient to define the macroscopic states. Moreover, we show that only one of the invariants of is necessary, since each component of falls onto a master curve when plotted as a function of . This implies that these granular assemblies have a common shape for the stress tensor, even though it does not correspond to the hydrostatic type. Although most results are obtained by molecular dynamics simulations, we present supporting experimental results. Received: 11 May 2011, Accepted: 15 July 2011; Edited by: J-C. Geminard; Reviewed by: B. Tighe, Instituut-Lorentz, Universiteit Leiden, Netherlands; DOI: http://dx.doi.org/10.4279/PIP.030004 Cite as: L. A. Pugnaloni, J. Damas, I. Zuriguel, D. Maza, Papers in Physics 3, 030004 (2011)","PeriodicalId":19791,"journal":{"name":"Papers in Physics","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2011-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space\",\"authors\":\"L. Pugnaloni, J. Damas, I. Zuriguel, D. Maza\",\"doi\":\"10.4279/PIP.030004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prepare static granular beds under gravity in different stationary states by tapping the system with pulsed excitations of controlled amplitude and duration. The macroscopic state---defined by the ensemble of static configurations explored by the system tap after tap---for a given tap intensity and duration is studied in terms of volume, , and force moment tensor, . In a previous paper [Pugnaloni et al., Phys. Rev. E 82, 050301(R) (2010)], we reported evidence supporting that such macroscopic states cannot be fully described by using only or , apart from the number of particles . In this work, we present an analysis of the fluctuations of these variables that indicates that and may be sufficient to define the macroscopic states. Moreover, we show that only one of the invariants of is necessary, since each component of falls onto a master curve when plotted as a function of . This implies that these granular assemblies have a common shape for the stress tensor, even though it does not correspond to the hydrostatic type. Although most results are obtained by molecular dynamics simulations, we present supporting experimental results. Received: 11 May 2011, Accepted: 15 July 2011; Edited by: J-C. Geminard; Reviewed by: B. Tighe, Instituut-Lorentz, Universiteit Leiden, Netherlands; DOI: http://dx.doi.org/10.4279/PIP.030004 Cite as: L. A. Pugnaloni, J. Damas, I. Zuriguel, D. Maza, Papers in Physics 3, 030004 (2011)\",\"PeriodicalId\":19791,\"journal\":{\"name\":\"Papers in Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2011-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Papers in Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4279/PIP.030004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Papers in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4279/PIP.030004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 11
摘要
利用可控振幅和持续时间的脉冲激励,制备了重力作用下不同静止状态的静态颗粒床。宏观状态——由系统一次接一次的敲击所探索的静态构型的集合定义——在给定的敲击强度和持续时间下,用体积、、和力矩张量来研究。在之前的一篇论文中[Pugnaloni et al.]Rev. E 82, 050301(R)(2010)],我们报告的证据支持这样的宏观状态不能完全通过使用或来描述,除了粒子的数量。在这项工作中,我们提出了对这些变量波动的分析,表明并且可能足以定义宏观状态。此外,我们证明了的不变量中只有一个是必要的,因为当作为的函数绘制时,的每个分量落在主曲线上。这意味着这些颗粒组合具有应力张量的共同形状,即使它不对应于流体静力型。虽然大多数结果是通过分子动力学模拟得到的,但我们提出了支持的实验结果。收稿日期:2011年5月11日,收稿日期:2011年7月15日;编辑:J-C。Geminard;审评人:B. Tighe,荷兰莱顿大学洛伦兹研究所;引用出处:L. A. Pugnaloni, J. Damas, I. Zuriguel, D. Maza, Papers in Physics 3,030004 (2011)
Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space
We prepare static granular beds under gravity in different stationary states by tapping the system with pulsed excitations of controlled amplitude and duration. The macroscopic state---defined by the ensemble of static configurations explored by the system tap after tap---for a given tap intensity and duration is studied in terms of volume, , and force moment tensor, . In a previous paper [Pugnaloni et al., Phys. Rev. E 82, 050301(R) (2010)], we reported evidence supporting that such macroscopic states cannot be fully described by using only or , apart from the number of particles . In this work, we present an analysis of the fluctuations of these variables that indicates that and may be sufficient to define the macroscopic states. Moreover, we show that only one of the invariants of is necessary, since each component of falls onto a master curve when plotted as a function of . This implies that these granular assemblies have a common shape for the stress tensor, even though it does not correspond to the hydrostatic type. Although most results are obtained by molecular dynamics simulations, we present supporting experimental results. Received: 11 May 2011, Accepted: 15 July 2011; Edited by: J-C. Geminard; Reviewed by: B. Tighe, Instituut-Lorentz, Universiteit Leiden, Netherlands; DOI: http://dx.doi.org/10.4279/PIP.030004 Cite as: L. A. Pugnaloni, J. Damas, I. Zuriguel, D. Maza, Papers in Physics 3, 030004 (2011)
期刊介绍:
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