Advances in Continuum Mechanics: The Nonlinear Deformation of Solids

所有物质在负荷下都会变形。工程师们根据基本的科学原理，通过详细的分析来预测这种变形，从而设计出影响我们生活的非凡结构和部件（无论是民用飞机、斜拉桥还是人工髋关节）。这类计算至关重要地依赖于可靠的数学基础。例如，轻质复合材料、高度可变形（类橡胶）聚合物和活组织给分析人员带来了新的挑战。虽然所有工程师都接受应用数学方面的培训，但工程研究人员需要更高层次的指导。杜伦大学暑期学校将为多达60名英国研究生提供机会，发展他们在高级连续介质力学领域的技能，这是工程师用来确定复杂应力场、材料变形和潜在破裂模式的强大计算机模拟方法的基础。为期7天的课程将采用一系列由顶尖数学家和专业工程师授课的形式，以及更多旨在帮助学生理解和实践先进技术的非正式辅导课程。

All matter deforms under load. Engineers predict such deformations through detailed analyses drawing upon fundamental scientific principles in order to design the extraordinary structures and components that shape our lives (be they civil aircraft, cable-stayed bridges or artificial hips). Calculations of this kind depend crucially upon a sound mathematical basis. Lightweight composite materials, highly deformable (rubber-like) polymers and living tissues, for example, pose new challenges to the analyst. While all engineers undergo training in applied mathematics, there is a need for instruction at a higher level for engineering researchers. The Durham Summer School will offer a body of up to 60 UK postgraduate students the chance to develop their skills in the area of advanced continuum mechanics, which forms the basis of powerful computer-based simulation methods used by engineers to determine complex stress fields, material deformations and potential rupture modes.The 7-day School will take the form of a series of focussed lectures from leading mathematicians and specialist engineers, plus more informal tutorial sessions designed to help students understand and practice the advanced techniques.