IUTAM-ISIMM Symposium Mathematical Modeling and Physical Instances of Granular Flows

IUTAM-ISIMM 粒状流数学建模和物理实例研讨会

• 批准号: 0936892
• 负责人: Joe Goddard
• 金额: $ 1万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2010-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0936892&HistoricalAwards=false
• 关键词: IUTAM; ISIMM; Symposium; Mathematical; Modeling

National Science Foundation - Division of Chemical, Bioengineering, Environmental, and Transport Systems Particulate & Multiphase Processes Program (1415)ABSTRACTProposal Number: 0936892Principal Investigator: Goddard, JoeAffiliation: University of California-San DiegoProposal Title:IUTAM-ISIMM Symposium Mathematical Modeling and Physical Instances of Granular FlowsThis is a proposal for an NSF travel grant to Support U.S. participation in the joint Symposium of the International Union of Theoretical Mechanics (IUTAM) and the International Society for the Interaction of Mechanics and Mathematics (ISIMM), Mathematical Modeling and Physical Instances of Granular Flows", Reggio Calabria, Italy, September 14-18, 2009. The symposium, whose web site is under construction at http://mat520.unime.it/granular09/, is to be held in a centrally located hotel in the city of Reggio Calabria. In keeping with IUTAM rules, refereed proceedings are to be published, and the American Institute of Physics (AIP) has been contracted to publish these as a two-volume AIP Conference Proceedings. At least half the requested travel support will be awarded to younger researchers, including advanced PhD students, postdoctoral researchers and beginning faculty members.Granular materials are ubiquitous in nature and technology, ranging from alimentary products to sandy soils and planetary rings. These many-body systems with nonlinear, dissipative interactions pose long-standing and challenging theoretical problems in both discrete and continuum modeling. Phenomena such as particulate mixing and de-mixing (size-segregation), vibratory transport, strain localization and arching, granular compaction and seismic liquefaction of soils require more detailed physical understanding and mathematical models. One can identify three distinguished flow regimes for non-cohesive, dry granular media:1.) A quasi-static (Hertz-Coulomb) elastoplastic regime, in which particle-scale inertia is negligible and the mechanics is governed largely by enduring frictional-elastic contacts,2.) A low-density (Bagnold) "granular-gas" regime, dominated by particle inertia and short-duration collisional contacts, and3.) An intermediate and poorly understood regime of dense rapid flow, reminiscent of liquid-like behavior, in which enduring frictional-elastic contacts are mediated by particle inertia and gravity.The IUTAM-ISIMM symposium will bring together mathematicians, physicists and engineers interested in the continuing development and application of mathematical models of granular matter. One objective is to promote the interchange of new ideas and methodologies and to present recent research on rheological models, methods of homogenization for connecting continuum to discrete models, numerical simulation and experimental observations. While all the above flow regimes will be addressed, a major emphasis will be placed on the most poorly understood, Regime 3, dense rapid flows.Mathematical models of granular media, which are essential to civil, geotechnical and process engineering, have also been applied to planetary rings, lunar regolith and accretion of cosmic dust. While the formulation and solution of such models provides basic mathematical problems of interest in their own right, the underlying physics is common to a wide range of problems in the statistical mechanics of dissipative systems and the glassy states of condensed matter.

美国国家科学基金会-化学，生物工程，环境和运输系统部颗粒多相过程计划（1415）摘要提案编号：0936892主要研究员：戈达德，乔所属单位：加利福尼亚大学圣地亚哥分校提案标题：IUTAM-ISIMM专题讨论会颗粒流的数学建模和物理模拟这是一项美国国家科学基金会旅行资助的提案，以支持美国参加国际理论力学联合会（IUTAM）和国际力学与数学相互作用学会（ISIMM）的联合专题讨论会，颗粒流的数学建模和物理模拟”，意大利雷焦卡拉布里亚，2009年9月14-18日。 专题讨论会将在雷焦卡拉布里亚市中心的一家旅馆举行，其网址http：//mat520.unime.it/granular09/正在建设中。根据IUTAM规则，将出版经评审的会议记录，美国物理研究所（AIP）已签约将其作为两卷本的AIP会议记录出版。至少一半的差旅费将提供给年轻的研究人员，包括高级博士生、博士后研究人员和初出茅庐的教职员工。颗粒状材料在自然界和技术中无处不在，从营养产品到桑迪土壤和行星环。这些具有非线性、耗散相互作用的多体系统在离散和连续建模中都提出了长期存在的具有挑战性的理论问题。诸如颗粒混合和分层（尺寸离析）、振动输送、应变局部化和变形、颗粒压实和土壤的地震液化等现象需要更详细的物理理解和数学模型。对于非粘性、干燥颗粒介质，可以确定三种不同的流动状态：1.）准静态（赫兹-库仑）弹塑性状态，其中颗粒尺度惯性可以忽略不计，力学主要由持久的摩擦弹性接触决定，2.）一个低密度（Bagnold）的“粒状气体”制度，主要是由粒子惯性和短期碰撞接触，和3。一个中间和知之甚少的密集快速流动的制度，让人想起液体般的行为，其中持久的摩擦弹性接触是由粒子惯性和重力介导的。IUTAM-ISIMM研讨会将汇集数学家，物理学家和工程师感兴趣的继续发展和应用的数学模型的颗粒物质。一个目标是促进新的思想和方法的交流，并介绍最近的研究流变模型，方法连接连续离散模型，数值模拟和实验观察的均匀化。虽然所有上述流动制度将被解决，一个主要的重点将放在最不了解，制度3，密集的快速flow.Mathematical模型的粒状介质，这是必不可少的土木工程，岩土工程和工艺工程，也已被应用到行星环，月球风化层和宇宙尘埃的吸积。虽然这些模型的公式化和求解本身就提供了基本的数学问题，但基本的物理学对于耗散系统的统计力学和凝聚态的玻璃态中的广泛问题是共同的。