Inverse Problems In Mechanics
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Inverse Problems in Mechanics
This volume addresses practical and concrete resolution methods for certain inverse problems related to material properties and behavior: the inverse Lagrange problem, determination of elastic constants of a monoclinic crystal, the behavior of initially deformed metallic layered structures, identification problems in viscoelasticity and sonoelasticity theories, the behavior of plates and structures with adhesive bonds, and a non-local identification problem. It is not simply a translation of its predecessor which appeared with the Publishing House of the Romanian Academy in 2003 ("Probleme inverse in mecanica", Editura Academiei, Bucharest, Romania). Improvements outline the way in which the inverse theory is applied to solve some engineering problems. This new edition contains many improvements concerning the presentation, as well as new topics using an enlarged and updated bibliography. In addition to the large area of domains in physics and mechanics covered by this volume, a list of completely solved problems with great practical interest for engineering is also presented, while most of the books about inverse problems present only the theory or only partial resolutions.The work requires as preliminaries only the mathematical knowledge acquired by a student in a technical university.
Inverse Problems in Engineering Mechanics III
Inverse Problems are found in many areas of engineering mechanics and there are many successful applications e.g. in non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc. Generally speaking, inverse problems are concerned with the determination of the input and the characteristics of a system, given certain aspects of its output. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. This volume contains a selection of peer-reviewed papers presented at the International Symposium on Inverse Problems in Engineering Mechanics (ISIP2001), held in February of 2001 in Nagano, Japan, where recent development in inverse problems in engineering mechanics and related topics were discussed. The following general areas in inverse problems in engineering mechanics were the subjects of the ISIP2001: mathematical and computational aspects of 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. These papers can provide a state-of-the-art review of the research on inverse problems in engineering mechanics.
Inverse Problems in Engineering Mechanics
Author: Masataka Tanaka
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-08
Inverse problems occur in a wide variey of fields. In general, the inverse problem can be defined as one where one should estimate the cause from the result, while the direct problem is concerned with how to obtain the result from the cause. The aim of this symposium was to gather scientists and researchers in engineering mechanics concerned with inverse problems in order to exchange research result and develop computational and experimentalapproaches to solve inverse problems. The contributions in this volume cover the following subjects: mathematical and computational aspects of inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic nondestructive testing, elastodynamic inverse problems, thermal inverse problems, and other miscellaneous engineering applications.