Presidential Young Investigator Award: Foundation and Special Reference of Inelasticity

总统青年研究员奖：非弹性的基础和特别参考

• 批准号: 8657740
• 负责人: Juan Carlos Simo
• 金额: $ 31.2万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8657740&HistoricalAwards=false
• 关键词: Presidential; Young; Investigator; Award; Foundation

The research is concerned with geometric and computational aspects of modern nonlinear continuum mechanics, with special emphasis on inelasticity. From a fundamental standpoint: (i) the research will further explore the Hamiltonian structure of nonlinear elasticity, plates and shells; (ii) develop a general framework for nonlinear plasticity, which is physically motivated, mathematically well-posed and suitable for large-scale inelastic computation. On the numerical side, a basic objective is to develop computational methodologies suitable for a supercomputing environment. In particular, (iii) development of new algorithmic treatments for inelasticity which by-pass current limitations, such as the necessity for so-called incrementally objective algorithms. Finally, (iv) the research will use this methodology in applications concerned with bifurcation and localization problems.

该研究涉及现代非线性连续介质力学的几何和计算方面，特别强调非弹性。从基础的角度来看：(i)研究将进一步探索非线性弹性、板壳的哈密顿结构；（ii）发展非线性塑性的一般框架，这是物理上的动机，数学上的良好定位，适合大规模的非弹性计算。在数值方面，一个基本目标是开发适合超级计算环境的计算方法。特别是，（iii）开发新的非弹性算法处理方法，绕过当前的限制，例如所谓的增量客观算法的必要性。最后，（iv）本研究将在分支和局部化问题的应用中使用该方法。