Mathematical Sciences: Elastodynamic Modelling of Stress Driven Phase Boundary Motion

数学科学：应力驱动相边界运动的弹性动力学建模

• 批准号: 9217151
• 负责人: Robert Kohn
• 金额: $ 3万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-02-01 至 1995-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9217151&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Elastodynamic; Modelling; Stress

Coherent phase transitions lead to characteristic fine scale structures. Analytic methods based on the minimization of elastic energy have had considerable success, but they also have notable limitations. Numerical methods are an absolute necessity for exploring local minimizers, for understanding the role of various selection mechanisms, and above all for modelling dynamics. We will continue the development of a new approach based on nonconvex elastic energies. Both elastodynamics and diffusion-driven dynamics will be considered. This work will make use of large-scale computation on both serial and parallel architectures.

相干相变导致特征精细尺度 结构.基于弹性最小化的分析方法 能源已经取得了相当大的成功，但他们也有显着的 局限性。数值方法是绝对必要的， 探索局部极小化，以了解各种 选择机制，最重要的是建模动态。我们 将继续开发一种新的方法， 非凸弹性能弹性动力学和 将考虑扩散驱动的动力学。这项工作将使 在串行和并行上使用大规模计算 建筑