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.

Table of Contents

Chapter 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 ind


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© 1998
Elsevier Science
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About the authors

Masataka Tanaka

Affiliations and Expertise

Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Japan

G.S. Dulikravich

Affiliations and Expertise

Department of Aerospace Engineering, The Pennsylvania State University, USA