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Inverse and crack identification problems in engineering mechanics

Author: G E Stavroulakis
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2001.
Series: Applied optimization, v. 46.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The book provides all the required material for the mathematical and numerical modeling of crack identification testing procedures in statics and dynamics and includes several thoroughly discussed applications, for example, the impact-echo nondestructive evaluation technique." "Audience: The book will be of interest to structural and mechanical engineers involved in nondestructive testing and quality control  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: G E Stavroulakis
ISBN: 0792366905 9780792366904
OCLC Number: 45093714
Description: xiii, 223 pages : illustrations ; 25 cm.
Contents: Direct and Inverse Problems --
Direct nonsmooth mechanics problems --
Inverse and identification problems --
Recent results and future work --
Theoretical and Computational Tools --
Computational Mechanics --
Elastostatics --
Small displacement smooth (classical) elastostatics --
Unilateral contact problems --
The unilateral contact conditions --
Friction problems with convex energy potential --
Combined frictional contact problem --
BEM formulation and implementation --
BEM formulation of unilateral problems --
LCP-BEM static unilateral-frictional contact problems --
Multi-region BEM formulation for inequality problems --
Unified LCP formulation of combined unilateral frictional contact problems --
Solution algorithms --
Smooth and nonsmooth optimization approach --
QPP and LCP solution schemes --
Nonlinear equations for complementerity problems --
Nonlinear equation reformulation --
Examples of NCP functions --
Merit functions --
Solution technique --
Formulation of nonlinear equations with FEM and BEM --
NCP functions proposed in the engineering literature --
Elastodynamics --
Steady state, harmonic problems --
Transient elastodynamics --
LCP-BEM dynamic unilateral-frictional contact problems --
Computational and Structural Optimization --
Optimization and optimality conditions --
Smooth, inequality constrained, convex problems --
Lagrangians, saddle points, duality --
Concise form of optimality conditions --
Convex, nonsmooth optimization --
Unconstrained --
Constrained --
Convex optimization algorithms.
Series Title: Applied optimization, v. 46.
Responsibility: by Georgios E. Stavroulakis.

Abstract:

The inverse problems are formulated as output error minimization problems and they are theoretically studied as a bilevel optimization problem, also known as a mathematical problem with  Read more...

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