Proposal and Examination of Numerical-Experimental Hybrid Inversion Analysis Schemes Relevant to Potential Problems in Solid Mechanics

开发了数值-实验混合反演分析格式，并对其进行了检验。文中处理了各种区域/边界反问题、边值反问题、力反问题、材料性质反问题和控制方程反问题，特别强调了反分析的正则化。所获得的主要结论概括如下：1.将电位法应用于三维裂纹和缺陷的测量。通过模拟和实验发现，该方法可以应用于小试件裂纹的测量。开发了高效的反演方案，并对其适用性进行了评估。提出了一种利用交流电势读数估算应力强度因子的方法。有限元。编制了涡流电磁场分析程序。验证了其在涡流裂纹检测中的适用性。…进一步讨论了裂纹附近的电磁场和温度场。将热像仪应用于缺陷的检测和测量。提出了几种估算接触区位移和拉力的方案，并进行了检验。讨论了边值反问题的不适定性。对电偶腐蚀的边界值进行了估算。应用了聚类技术，并发现这些技术在估计中很有用。对阴极保护进行了优化。利用边界元离散方法对非稳态导热过程中的边值问题进行了估计。利用边界元列式对波动方程进行震源识别。用几种正则化方案检查声学CT(计算机断层扫描)。提出了估计离散系统材料性质的方案。提出了一种由观测值估计控制方程的方法，并成功地将所提出的方法用于处理各种反问题。这些可望为其他逆分析提供基础。较少

Numerical-experimental hybrid inversion analysis schemes were developed and examined. Various kinds of domain/boundary inverse problems, boundary value inverse problems, force inverse problems, material properties inverse problems, and governing equation inverse problems were treated with special emphasis on regularization of the inversion analyses. The main conclusions obtained are summarized as follows.1. Electric potential method was applied to the measurement of three-dimensional cracks and defects. From simulations and experiments it was found that the method can be applied to the measurement of cracks in small specimens. Efficient inversion schemes were developed, and assessment of their applicability was made. A method was proposed to estimate stress intensity factor using an A. C. electric potential reading.2. Finite element. programming was made for analyzing eddy current electromagnetic fields. Its applicability to the measurement of cracks using eddy current was examined.3. … More Electric current fields and temperature fields near cracks were discussed. Thermography was applied to the detection and measurement of defects.4. Several schemes were proposed and examined for estimating displacements and tractions in contact region. Discussion was made on the ill-posedness of the boundary value inverse problems.5. Estimation of boundary values in Galvanic Corrosion was made. Clustering techniques were applied and were found useful in the estimation. Optimization of cathodic protection was made.6. Estimation of boundary values in transient heat conduction was made using boundary element discretization.7. Source identification in wave equation was made using boundary element formulation.8. Acoustic CT (computed tomography) was examined with several regularizing schemes. Schemes were proposed to estimate material properties of a discrete system.9. A scheme was proposed for estimating governing equation from observations.Proposed inversion schemes were applied successfully to treat various kinds of inverse problem. These are expected to give foundations for other inverse analyses. Less