The Mechanics of Fractal Fragmentation

分形破碎的力学

• 批准号: 9105500
• 负责人: Charles Sammis
• 金额: $ 11.14万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9105500&HistoricalAwards=false
• 关键词: Mechanics; Fractal; Fragmentation

This research deals with fractals and the fractal dimension of self-similar fracture patterns observed in the crust, and the loading conditions under which they were formed. Three known loading conditions that have different fractal dimensions are shear-deformed granular material, sequential-growth fractures, and shock-loaded fractures. This research will extend the analysis by investigating fault-deformed rock from the San Andreas fault, shocked materials from laboratory work, and other laboratory and computer simulation experiments. Fractal dimension relates to the relative frequency of large versus small fractures and may bear on estimations of earthquake frequency of occurrence. This research is a component of the National Earthquake Hazard Reduction Program.

本研究涉及分形和分形维数， 在地壳中观察到的自相似断裂模式， 它们形成的负载条件。 三个已知 具有不同分形维数的载荷条件是 剪切变形的粒状材料，连续生长的裂缝，以及 冲击性骨折 本研究将通过以下方式扩展分析： 研究圣安德烈亚斯断层的断层变形岩石， 从实验室工作和其他实验室和 计算机模拟实验。 分形维数与 大骨折与小骨折的相对频率， 地震发生频率的估计。 本研究 是国家地震减灾计划的一部分。