Ivan Hlavacek's Books

Uncertain Input Data Problems and the Worst Scenario Method

By: Ivan Hlavacek,Jan Chleboun,Ivo Babuska

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Uncertain Input Data Problems and the Worst Scenario Method

By: Ivan Hlavacek,Jan Chleboun,Ivo Babuska

This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included.Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data.A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience.·Rigorous theory is established for the treatment of uncertainty in modeling· Uncertainty is considered in complex models based on partial differential equations or variational inequalities · Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more ·Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present·Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form·Fairly self-contained book

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Page Count

485

Publisher

Elsevier

Published Date

ISBN 10

0080543375

ISBN 13

9780080543376

Solution of Variational Inequalities in Mechanics

By: Ivan Hlavacek,Jaroslav Haslinger,Jindrich Necas,Jan Lovisek

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Solution of Variational Inequalities in Mechanics

By: Ivan Hlavacek,Jaroslav Haslinger,Jindrich Necas,Jan Lovisek

The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in equalities theory are the topics of the well-known monograph by G. Du vaut and J. L. Lions, Les iniquations en micanique et en physique (1972).

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Page Count

285

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461210488

ISBN 13

9781461210481

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

An Introduction

By: Jiri Nedoma,Jiri Stehlik,Ivan Hlavacek,Josef Danek,Tatjana Dostalova,Petra Preckova

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Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

An Introduction

By: Jiri Nedoma,Jiri Stehlik,Ivan Hlavacek,Josef Danek,Tatjana Dostalova,Petra Preckova

Cutting-edge solutions to current problems in orthopedics, supported by modeling and numerical analysis Despite the current successful methods and achievements of good joint implantations, it is essential to further optimize the shape of implants so they may better resist extreme long-term mechanical demands. This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics. It focuses on the numerical modeling of total human joint replacements and simulation of their functions, along with the rigorous biomechanics of human joints and other skeletal parts. The book includes: An introduction to the anatomy and biomechanics of the human skeleton, biomaterials, and problems of alloarthroplasty The definition of selected simulated orthopedic problems Constructions of mathematical model problems of the biomechanics of the human skeleton and its parts Replacement parts of the human skeleton and corresponding mathematical model problems Detailed mathematical analyses of mathematical models based on functional analysis and finite element methods Biomechanical analyses of particular parts of the human skeleton, joints, and corresponding replacements A discussion of the problems of data processing from nuclear magnetic resonance imaging and computer tomography This timely book offers a wealth of information on the current research in this field. The theories presented are applied to specific problems of orthopedics. Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed. Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems. The book also presents a study of algorithmic procedures based on these simulation models. This is a highly useful tool for designers, researchers, and manufacturers of joint implants who require the results of suggested experiments to improve existing shapes or to design new shapes. It also benefits graduate students in orthopedics, biomechanics, and applied mathematics.

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Page Count

458

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118006461

ISBN 13

9781118006467

Contact Mechanics of Articular Cartilage Layers

Asymptotic Models

By: Ivan Argatov,Gennady Mishuris

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Contact Mechanics of Articular Cartilage Layers

Asymptotic Models

By: Ivan Argatov,Gennady Mishuris

This book presents a comprehensive and unifying approach to articular contact mechanics with an emphasis on frictionless contact interaction of thin cartilage layers. The first part of the book (Chapters 1–4) reviews the results of asymptotic analysis of the deformational behavior of thin elastic and viscoelastic layers. A comprehensive review of the literature is combined with the authors’ original contributions. The compressible and incompressible cases are treated separately with a focus on exact solutions for asymptotic models of frictionless contact for thin transversely isotropic layers bonded to rigid substrates shaped like elliptic paraboloids. The second part (Chapters 5, 6, and 7) deals with the non-axisymmetric contact of thin transversely isotropic biphasic layers and presents the asymptotic modelling methodology for tibio-femoral contact. The third part of the book consists of Chapter 8, which covers contact problems for thin bonded inhomogeneous transversely isotropic elastic layers and Chapter 9, which addresses various perturbational aspects in contact problems and introduces the sensitivity of articular contact mechanics. This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics, and engineers interested and involved in the analysis and design of thin-layer structures.

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Page Count

348

Publisher

Springer

Published Date

ISBN 10

3319200836

ISBN 13

9783319200835

Indentation Testing of Biological Materials

By: Ivan Argatov,Gennady Mishuris

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Indentation Testing of Biological Materials

By: Ivan Argatov,Gennady Mishuris

This book presents a comprehensive and unifying approach to analytical identification of material properties of biological materials. Focusing on depth-sensing indentation testing, pipette aspiration testing, and torsion of soft tissues, it discusses the following important aspects in detail: damping, adhesion, thickness effect, substrate effect, elastic inhomogeneity effect, and biphasic effect. This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics as well as for biomedical engineers interested in contact problems and involved in inverse materials parameters prediction analysis.

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Page Count

384

Publisher

Springer

Published Date

ISBN 10

3319785338

ISBN 13

9783319785332

The New Penguin Guide to Compact Discs and Cassettes

By: Edward Greenfield,Robert Layton,Ivan March

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The New Penguin Guide to Compact Discs and Cassettes

By: Edward Greenfield,Robert Layton,Ivan March

Covers the huge expansion of the compact disc market over the past two years, assessing each CD released since The Penguin Guide to Compact discs, Cassettes, and LPs, as well as all the noteworthy CDs from that edition.

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Page Count

1396

Publisher

Penguin Group

Published Date

ISBN 10

0140468293

ISBN 13

9780140468298

The Penguin Guide to Bargain Compact Discs and Cassettes

By: Edward Greenfield,Robert Layton,Ivan March

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The Penguin Guide to Bargain Compact Discs and Cassettes

By: Edward Greenfield,Robert Layton,Ivan March

The authors of the acclaimed Penguin Guide to Compact Discs and Cassettes are back with the best bargains in classical music recordings. The authors evaluate interpretations as well as performances and consider both the quality of the recorded sound and the value for money in terms of playing time.

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Page Count

724

Publisher

Penguin Mass Market

Published Date

ISBN 10

0140469192

ISBN 13

9780140469196

Uncertain Input Data Problems and the Worst Scenario Method

By: Ivan Hlavacek,Jan Chleboun,Ivo Babuska

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Uncertain Input Data Problems and the Worst Scenario Method

By: Ivan Hlavacek,Jan Chleboun,Ivo Babuska

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Solve jigsaw puzzle

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Page Count

485

Publisher

Elsevier

Published Date

ISBN 10

0080543375

ISBN 13

9780080543376

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

An Introduction

By: Jiri Nedoma,Jiri Stehlik,Ivan Hlavacek,Josef Danek,Tatjana Dostalova,Petra Preckova

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Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

An Introduction

By: Jiri Nedoma,Jiri Stehlik,Ivan Hlavacek,Josef Danek,Tatjana Dostalova,Petra Preckova

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Solve jigsaw puzzle

Age

Page Count

458

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118006461

ISBN 13

9781118006467

Solution of Variational Inequalities in Mechanics

By: Ivan Hlavacek,Jaroslav Haslinger,Jindrich Necas,Jan Lovisek

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Solution of Variational Inequalities in Mechanics

By: Ivan Hlavacek,Jaroslav Haslinger,Jindrich Necas,Jan Lovisek

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Solve jigsaw puzzle

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Page Count

285

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461210488

ISBN 13

9781461210481

Book's by Ivan Hlavacek

Uncertain Input Data Problems and the Worst Scenario Method

Uncertain Input Data Problems and the Worst Scenario Method

Solution of Variational Inequalities in Mechanics

Solution of Variational Inequalities in Mechanics

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Contact Mechanics of Articular Cartilage Layers

Contact Mechanics of Articular Cartilage Layers

Indentation Testing of Biological Materials

Indentation Testing of Biological Materials

The New Penguin Guide to Compact Discs and Cassettes

The New Penguin Guide to Compact Discs and Cassettes

The Penguin Guide to Bargain Compact Discs and Cassettes

The Penguin Guide to Bargain Compact Discs and Cassettes

Uncertain Input Data Problems and the Worst Scenario Method

Uncertain Input Data Problems and the Worst Scenario Method

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Solution of Variational Inequalities in Mechanics

Solution of Variational Inequalities in Mechanics

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