Random Fields of Micromechanics: Constitutive Laws and Plastic Flow

微观力学的随机场：本构定律和塑性流动

• 批准号: 9202772
• 负责人: Martin Starzewski
• 金额: $ 18.93万
• 依托单位: Michigan State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1997-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9202772&HistoricalAwards=false
• 关键词: Random; Fields; Micromechanics; Constitutive; Laws

This research program will develop new methods for the study of material microscale geometric and physical randomness. The effort will focus on the areas of effective response of graph- representable materials, and on neighborhoods (which allows for both nearest and distant neighbor interaction) will be used, leading to Markov field models that will be used to predict effective response laws and the onset of instabilities. Emphasis in the second area is on the development of a stochastic method and solutions for determining plastic flow and stress fields in a granular medium whose yield condition is a random field of space coordinates. This will lead to a procedure for the stochastic generalization of the method of characteristics, which will allow for the study of slip-line fields and wave propagation in realistic models of granular media.*** //

这项研究计划将开发新的研究方法， 材料微观几何和物理随机性。的努力 将重点放在图的有效响应领域- 可代表的材料，并在邻里（这允许 最近和远邻交互）将被使用， 从而产生马尔可夫场模型， 有效的反应规律和不稳定的开始。 重点 在第二个领域是关于随机方法的发展 和解决方案，以确定塑性流动和应力场在一个 屈服条件为空间随机场的粒状介质 坐标这将导致一个程序的随机 特征方法的推广，这将允许 用于研究滑移线场和波在 颗粒介质的现实模型。* //