Mathematical Sciences: Studies in Continuum Mechanics and Materials Science

数学科学：连续介质力学和材料科学研究

• 批准号: 9301158
• 负责人: Morton Gurtin
• 金额: $ 9.9万
• 依托单位: Carnegie-Mellon University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9301158&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Studies; Continuum; Mechanics

9301158 Gurtin This research concerns the further development of the general theory and the analysis of specific models of nonequilibrium thermomechanics of multiphase continua. The following studies are planned: i) the development of a dynamical theory of incoherent phase transitions, with emphasis on surface stress; ii) the development of general theory of highly nonequilibrium phase transitions driven by mass transport, with emphasis on the construction of models for solute tapping; iii) the analysis of models that generalize motion by curvature; these models include crystal anisotropy and yield a dynamical theory of crystal growth; iv) the analysis of general Stephan problems that allow for superheating and supercooling, with emphasis on nucleations. ***

小行星9301158 本研究涉及多相连续介质非平衡热力学一般理论的进一步发展和具体模型的分析。 计划进行以下研究：一）发展非相干相变的动力学理论，重点是表面应力;二）发展由质量输运驱动的高度非平衡相变的一般理论，重点是建立溶质攻丝模型;三）分析通过曲率概括运动的模型;这些模型包括晶体各向异性和产生晶体生长的动力学理论; iv）分析一般Stephan问题，允许过热和过冷，重点是成核。 ***