Inverse Problems in Engineering Mechanics
- Masataka Tanaka, Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Japan
- G.S. Dulikravich, Department of Aerospace Engineering, The Pennsylvania State University, USA
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Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures.
Seventy-two papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic non-destructive testing, elastodynamic inverse problems, thermal inverse problems, and other engineering applications.
For mechanical, civil and materials engineers.
- Published: November 1998
- Imprint: ELSEVIER
- ISBN: 978-0-08-043319-6
Table of ContentsChapter headings and selected papers: Inverse Heat Conduction. Spectral and wavelet methods for solving an inverse heat conduction problem (L. Eldén, F. Berntsson). An inverse coefficient identification problem for the heat equation (D. Lesnic et al.). Boundary Data Detection in Elasticity. Identification of contact pressure distribution on surface of crack in ceramics (S. Aoki et al.). A finite element formulation for the detection of boundary conditions in elasticity and heat conduction (B.H. Dennis, G.S. Dulikravich). Crack and Defect Detection. Determination of crack location from changes in natural frequencies (M. Tanaka, A.N. Bercin). Crack detection in elastostatics and elastodynamics: a BEM modelling - neural network approach (G.E. Stavroulakis, H. Antes). Shape Detection. The inverse geometric problem applied to the IR-CAT method for the detection of an irregular subsurface cavity (A.J. Kassab et al.). Identification of unknown boundary shape of rotationally symmetric body in steady heat conduction via BEM and filter theories (M. Tanaka et al.). Inverse Scattering. Reconstruction and regularization for inverse potential scattering (T. Takiguchi). Elastodynamic inversion of 3D cavity from backscattering data (M. Kitahara, S. Hirose). Parameter Identification in Solid Mechanics. Identification of the material parameters of laminated plates (Z.H. Yao, S.S. Qu). On the identification of elastic moduli in plates (A. Constantinescu). Parameter Identification in Civil Engineering. Estimation of roughness coefficients of distribution system using least squares of residuals with constraints (M. Kanoh, T. Kuroki). Matching objective and subjective information in geotechnical inverse analysis based on entropy minimization (Y. Honjo, N. Kudo). Numerical Algorithms. Selective error location indicators for mass and stiffness updating (M. Reynier et al.). Indicator for the refinement of parameterization (G. Chavent, R. Bissell). Uniqueness, Ill-Posedness, Regularization. Uniqueness and stability in an inverse problem of determining a part of boundary (A.L. Bukhgeim et al.). Wavelets strategy for ill posed linear systems (N. Ishida et al.). Inverse Problems in Aeronautics and Fluid Dynamics. The modified output error method and its application on inverse problems in aeronautics (F. Imado, Y. Koyama). Fourier series solution for inverse design of aerodynamic shapes (G.S. Dulikravich, D.P. Baker). Medical Inverse Problems. Improvement of a method for identifying a current dipole in the brain using BEM and nonlinear optimization (K. Hayami). Impedance computed tomography for electrocardiogram application (K. Shirota et al.). Inverse Problems in Electromagnetics and Acoustics. Application of wavelets analysis to magnetic field source searching (K. Nakajima et al.). Estimation of current distribution within conductors by field measurements (I. Marinova, Y. Saito). Applications of Genetic Algorithms. Structural design by genetic algorithm (H. Tanie, E. Kita). An extensible evolutionary algorithm approach for inverse problems (T. Kowaltczyk et al.). Miscellaneous Applications. Reconstruction of 3D human movement using inverse analysis (K. Amaya et al.). Diagnostics of antifriction bearings through statistical moments (L.N. Panda et al.).