弹性力学非线性反演方法概述  

SURVEY ON NONLINEAR INVERSION METHODS IN ELASTOMECHANICS

作　　者：王登刚[1] 刘迎曦[2] 李守巨[2] 

机构地区：[1]上海交通大学建筑工程与力学学院,上海200030 [2]大连理工大学工程力学系,大连116024

出　　处：《力学进展》2003年第2期166-174,共9页Advances in Mechanics

基　　金：中国博士后科学基金;国家杰出青年科学基金(59825105);国家自然科学基金(110072014)资助项目

摘　　要：考虑正演模型和观测数据确定性性质的不同,对弹性力学反问题解的定义进行了归纳总结。非线性和不适定性是反问题理论研究和工程应用的瓶颈问题,对反问题非线性和不适定性的有效处理方法进行了总结。并在此基础上介绍了非线性反演问题求解方法的一些最新进展,对弹性力学非线性反演方法进行了归纳分类。The defineteness of the solution of inverse problems in elastomechanics are summarized and class-fied systemically according to the difference of deterministic characteristics of the problem and measured data. Nonlinearity and ill-posedness are the bottle-neck in inverse problem's theoretical studies and engineering applications. The effective ways to deal with both the nonlinearity and ill-posedness are summarized. Some recent advances of nonlinear inversion methods in elastomechanics are briefly reviewed. The classification of nonlinear inversion methods is also discussed in this paper.

关 键 词：弹性力学 非线性反演方法 反问题 不适定性 正问题模型 

分 类 号：O343[理学—固体力学]