CAREER: Effects of Microstructural Randomness in Composite Processing

职业：复合材料加工中微观结构随机性的影响

• 批准号: 9875067
• 负责人: Sarah Baxter
• 金额: $ 20万
• 依托单位: University of South Carolina at Columbia
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-08-15 至 2004-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9875067&HistoricalAwards=false
• 关键词: CAREER; Effects; Microstructural; Randomness; Composite

9875067BaxterA CAREER award supports research and education in mathematical modeling of materials processing and properties. The research work will examine the influence of random microstructure on the development of thermo-mechanical stresses and stress concentrations in metal matrix composites during cooling after consolidation processing. In order to investigate the effect of randomness in microstructure on the development of stresses during processing this work will employ the Moving Window-GMC technique. It uses the micromechanics model, known as the generalized method of cells (GMC), in a moving window procedure to generate material property fields for a given material microstructure. Statistical methods are then used to develop probability density, auto- and cross correlation functions associated with the fields. These functions will be used with Monte Carlo techniques to generate additional material property fields with the same statistics as the original. Standard finite element methods, used to model consolidation cool down, will use the original and simulated properties as input. The analysis of the output from these models, e.g. residual stress states, will be used to improve predictions of the effective pre-use properties of the composite material.The educational plan associated with this project has several focus areas. The development of two new courses is planned. The first is an advanced undergraduate class in Numerical Methods. The emphasis of this class would be on problem solving techniques; problem definition through identification with classic engineering problems, choice of solution technique and implementation of the method via appropriate technological platforms. The second class is an undergraduate class in mathematical modeling. It will improve the ability of undergraduate engineers to set up and define problems. Also planned are short courses for undergraduates on special topics, in the format of seminars or interdisciplinary classes, as well as development of competitive undergraduate research projects integrated with the research work under this award.***

9875067职业生涯奖支持材料加工和性能的数学建模的研究和教育。 研究工作将检查随机微观结构的发展的热机械应力和应力集中在金属基复合材料在固结处理后的冷却过程中的影响。 为了研究加工过程中微观结构的随机性对应力发展的影响，本文采用了移动窗口GMC技术。 它使用的微观力学模型，被称为广义单元法（GMC），在一个移动窗口的过程中，生成材料的属性场为一个给定的材料微观结构。统计方法，然后使用开发的概率密度，自相关和互相关函数与字段。这些功能将与蒙特卡洛技术一起使用，以生成具有与原始相同统计数据的其他材料属性字段。用于模拟固结冷却的标准有限元方法将使用原始和模拟属性作为输入。对这些模型的输出（例如残余应力状态）的分析将用于改进对复合材料有效使用前性能的预测。与该项目相关的教育计划有几个重点领域。计划开设两门新课程。 第一个是数值方法的高级本科班。本课程的重点是解决问题的技术;通过识别经典工程问题来定义问题，选择解决方案技术并通过适当的技术平台实施方法。第二堂课是数学建模本科班。它将提高本科工程师建立和定义问题的能力。 还计划为本科生开设专题短期课程，以研讨会或跨学科课程的形式，以及与该奖项下的研究工作相结合的有竞争力的本科生研究项目的开发。