Inverse Problems in Engineering Mechanics III

G.S. Dulikravich, Mana Tanaka

• Publisher: Elsevier Science
• Year: 2001
• Print ISBN: 9780080439518
• eBook ISBN: 9780080535142
• Topic: Computer Science
• Subtopic: Computer Engineering
• Index: Computer Science

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.

Numerical and Computational Algorithms

Parameter Identification for Evolution Hemivariational Inequalities and Applications

S. Migórski Jagiellonian University, Faculty of Mathematics and Physics Institute of Computer Science ul. Nawojki 11, 30072 Cracow, Poland

ABSTRACT

This paper is devoted to study the estimation of parameter problems in mechanical systems described by hemivariational inequalities. Our basic model is a damped hyperbolic evolution equation with multivalued term. We give results on well posedness of the model and the dependence of the solution set on the parameters. We also deliver an existence result for the inverse problem under consideration.

KEYWORDS

Hemivariational inequality

nonmonotone law

nonconvex superpotential

hyperbolic

damping

subdifferential

INTRODUCTION

For the last twenty years, there were many studies developed in the field of inverse problems. Such investigations combine the most recent results on mechanical formulation of the problem, on the numerical analysis of such problems and on the control theory.

The purpose of this paper is to provide recent results on identification problems for evolution hemivariational inequalities. Up to now, the problems for evolution hemivariational inequalities of second order considered here have not been analyze...

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright page
• Preface
• Symposium Chairpersons
• International Scientific Committee
• Organizing Committee
• Inverse Thermal Problems
• Boundary Data and Parameters Identification
• Damage or Defect Detection
• Inverse Problems in Solid Mechanics
• Numerical and Computational Algorithms
• Applications of Computational Algorithms
• Inverse Problems in Aeronautics and Fluid Dynamics
• Inverse Problems in Electromagnetics
• Author Index