US-Ireland Cooperative Science: An Investigation Into FiniteDeformation of Solids

美国-爱尔兰合作科学：固体有限变形的研究

• 批准号: 8704217
• 负责人: Kumbakonam Rajagopal
• 金额: $ 1.05万
• 依托单位: University of Pittsburgh
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-01 至 1992-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8704217&HistoricalAwards=false
• 关键词: US; Ireland; Cooperative; Science; Investigation

Objective: In most technical applications wherein solids undergo large deformations, the deformation is primarily non-homogeneous, accompanied by changes in material symmetry and the development of residual stresses and permanent deformations. An understanding of the nature of the changes in material symmetry and the extent of the residual stresses can play a great role in the design and performance of manufactured products. To date the changes in material symmetry and the induced anisotropies due to non-homogeneous deformations, as well as the basic mechanics of non-homogeneous deformations of non-linearly elastic materials, are not well understood. In this proposal the principal investigator Dr. K.R. Rajagopol outlines a detailed study of non-homogeneous deformations of non-linearly elastic materials. He plans to determine the class of constitutive equations for which certain deformations are maintainable. He will also investigate the possible universal solutions for specific constitutive equations. A related question which will be studied is the stability of such solutions. In addition a study of the changes in material symmetry due to the application of non-homogeneous deformations will be made. Dr. Rajagopal will collaborate in this research with Professor M. Hayes, Department of Mathematical Physics, University College, Dublin. Dr. Hayes expertise in the field of non-linear elasticity will contribute greatly to the success of this joint project. Relevance: It is the objective of the U.S.-Ireland Cooperative Science Program to promote mutually beneficial research cooperation and to enable U.S. scientists to take advantage of special research opportunities. This award fulfills that objective by enabling Dr. K.R. Rajagopal to spend two years in collaboration with Irish scientists with complementary expertise. Merit: There is an excellent prospect that the proposed research will result in a significant contribution to scientific knowledge. The principal investigator is a respected, productive scientist, who will be working with another international expert in this field. The work plan is sound and the budget is reasonable. Funding: This award will not duplicate other funding.

目的：在固体经历大变形的大多数技术应用中，变形主要是非均匀的，伴随着材料对称性的变化以及残余应力和永久变形的发展。了解材料对称性变化的本质和残余应力的大小对制造产品的设计和性能有很大的作用。到目前为止，对材料对称性的变化、非均匀变形引起的各向异性以及非线性弹性材料非均匀变形的基本力学还没有很好的了解。在这项提案中，首席研究员K.R.Rajagopol博士概述了对非线性弹性材料的非均匀变形的详细研究。他计划确定可以保持某些变形的本构方程的类别。他还将研究特定本构方程的可能通用解。将研究的一个相关问题是此类解的稳定性。此外，还将研究由于应用非均匀变形而引起的材料对称性的变化。Rajagopal博士将与都柏林大学学院数学物理系M.Hayes教授合作进行这项研究。海斯博士在非线性弹性领域的专业知识将为这一联合项目的成功做出巨大贡献。相关性：美国-爱尔兰合作科学计划的目标是促进互惠互利的研究合作，使美国科学家能够利用特殊的研究机会。这一奖项实现了这一目标，使K.R.Rajagopal博士能够与具有互补专业知识的爱尔兰科学家合作两年。优点：拟议的研究很有可能对科学知识做出重大贡献。首席研究员是一位受人尊敬、多产的科学家，他将与该领域的另一位国际专家合作。工作计划合理，预算合理。资金：该奖项不会与其他资金重复。