Mathematic modelling and computational methods in solid mechanics

固体力学数学建模与计算方法

• 批准号: EP/E504876/1
• 负责人: Chris Pearce
• 金额: $ 6.27万
• 依托单位: University of Glasgow
• 依托单位国家: 英国
• 项目类别: Training Grant
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE504876%2F1
• 关键词: Mathematic; modelling; computational; methods; solid

Computational Solid Mechanics provides practical tools for the simulation of complex problems. These tools, with unprecedented predictive powers, have had an enormous impact on modern society, including manufacturing, transportation, defence, communication and medicine. Computational Solid Mechanics provides a sound framework with which to explore extremes of conditions or size and to bridge material responses across multiple scales. The challenge in Computational Solid Mechanics is to deliver a solution that is accurate, numerically stable and achieved in a computationally efficient manner. This is only possible by ensuring that the underlying mathematical framework is sound and well understood; a lack of mathematical understanding can act as a significant barrier to advances in solid mechanics research. This one week Summer School has been designed to address the perceived gap in the mathematical knowledge of engineers, to provide an intensive learning experience for postgraduate engineers and provide an opportunity for interaction and discussion by PhD students from all over the UK. It will provide training in mathematical modelling and computational methods that will be delivered by leading academics via lectures and more informal tutorial sessions designed to help participants understand and practice what they have been taught.

计算固体力学为复杂问题的模拟提供了实用的工具。这些工具具有前所未有的预测能力，对现代社会产生了巨大的影响，包括制造业，运输，国防，通信和医学。计算固体力学提供了一个良好的框架，探索极端的条件或大小，并跨越多个尺度的桥梁材料的反应。计算固体力学的挑战是提供一个准确，数值稳定，并以计算效率高的方式实现的解决方案。这只有通过确保基本的数学框架是健全的和良好的理解才有可能;缺乏数学理解可能成为固体力学研究进步的重大障碍。这个为期一周的暑期学校旨在解决工程师数学知识方面的差距，为研究生工程师提供强化学习体验，并为来自英国各地的博士生提供互动和讨论的机会。它将提供数学建模和计算方法方面的培训，这些培训将由领先的学者通过讲座和更多的非正式辅导课程提供，旨在帮助参与者理解和实践他们所教授的内容。