Jiri Jarusek's Books

Unilateral Contact Problems

Variational Methods and Existence Theorems

By: Christof Eck,Jiri Jarusek,Miroslav Krbec

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Unilateral Contact Problems

Variational Methods and Existence Theorems

By: Christof Eck,Jiri Jarusek,Miroslav Krbec

The mathematical analysis of contact problems, with or without friction, is an area where progress depends heavily on the integration of pure and applied mathematics. This book presents the state of the art in the mathematical analysis of unilateral contact problems with friction, along with a major part of the analysis of dynamic contact problems

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Page Count

398

Publisher

CRC Press

Published Date

ISBN 10

1420027360

ISBN 13

9781420027365

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Theory, Applications and Numerical Results

By: Jiri Outrata,M. Kocvara,J. Zowe

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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Theory, Applications and Numerical Results

By: Jiri Outrata,M. Kocvara,J. Zowe

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

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Page Count

281

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475728255

ISBN 13

9781475728255

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

Unilateral Contact Problems

Variational Methods and Existence Theorems

By: Christof Eck,Jiri Jarusek,Miroslav Krbec

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Unilateral Contact Problems

Variational Methods and Existence Theorems

By: Christof Eck,Jiri Jarusek,Miroslav Krbec

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

398

Publisher

CRC Press

Published Date

ISBN 10

1420027360

ISBN 13

9781420027365

Book's by Jiri Jarusek

Unilateral Contact Problems

Unilateral Contact Problems

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems

Unilateral Contact Problems

Unilateral Contact Problems

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