Study of Inverse Problems for Family of Elasticity Equations

弹性方程组反问题的研究

• 批准号: 22340023
• 负责人: NAKAMURA Gen
• 金额: $ 9.48万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340023/
• 关键词: 応用解析; 逆問題; 粘弾性方程式; MRE; 安定性; 断層同定; 弾性係数; 粘性係数; レーリー波; 非線形波動方程式; 粘弾性; 光トモグラフィー; 解の構造

Some studies were done and obtained sufficient results on the data analysis of elastography which measures the visco-elasticity of tissues in a living body non-invasively, and as their related studies, the LSM (linear sampling method) for parabolic equations and Carleman estimate for anomalous diffusion equations. We completed our recent year study on the dispersion formula of the speed of Rayleigh wave for half space depth dependent anisotrpic elastic media with residual stress. We gave an inversion scheme for detecting damage of connectors of steel-concrete composite beam.

对非侵入性测量活体组织粘弹性的弹性成像的数据分析进行了一些研究，并获得了足够的结果，作为其相关研究，抛物方程的LSM（线性采样方法）和反常扩散方程的Carleman估计。我们完成了近几年来关于半空间深度相关的各向异性弹性介质中瑞利波速度频散公式的研究。提出了钢-混凝土组合梁连接件损伤检测的反演方法。

项目成果

A non-destructive method for damage detection in steel-concrete structures based on finite eigendata

• DOI: 10.1080/17415977.2011.605884
• 发表时间: 2012-03
• 期刊: Inverse Problems in Science and Engineering
• 影响因子: 1.3
• 作者: S. Jimbo;A. Morassi;G. Nakamura;K. Shirota

Inverse spectralproblem for identifying damage in steel-concrete composite beams

识别钢-混凝土组合梁损伤的逆谱问题

• 发表时间: 2010
• 作者: M. Maejima;Y. Ueda;Gen Nakamura
• 通讯作者: Gen Nakamura

Inverse scattering for obliquely incident polarized electromagnetic waves

斜入射偏振电磁波的逆散射

• DOI: 10.1088/0266-5611/29/1/019502
• 发表时间: 2012
• 期刊: Inverse Problems
• 影响因子: 2.1
• 作者: G.Nakamura;H. Wang
• 通讯作者: H. Wang

Reconstruction scheme for active thermography

主动热成像重建方案

• 发表时间: 2011
• 作者: T. Kobayashi;and J. Möllers;山崎隆雄;T. Sugawa;H. Nakamura;Gen Nakamura
• 通讯作者: Gen Nakamura

Active thermo-graphy and dynamical probe method

主动热成像和动态探针法

• 发表时间: 2011
• 作者: T. Kobayashi;B. Ørsted;and M. Pevzner;Gen Nakamura
• 通讯作者: Gen Nakamura