A.M. Khludnev's Books

Modelling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

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Modelling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

This book covers the boundary value problems for a wide range of mathematical models of the mechanics of deformable bodies, in particular, the boundary value problems concerning plates and shells, crack theory, and elastoplastic bodies. An essential feature of the discussed boundary value problems is the availability of the inequality type constraints imposed on solutions such as the impenetration condition for contact problems, the yield plasticity condition, etc. As a consequence, the presence of free boundaries is typical of the boundary value problems concerned. The objective of the book is to display some new methods of analyzing such problems, as well as to perform research on new models evolved from engineering practice. Readers will find a variety of new mathematical models describing some contact problems for plates and shells, an equilibrium of plates involving cracks, etc. Furthermore, some new mathematical methods are presented which were specially developed by the authors to study the problems concerned. These help to convey a comprehensive picture of the present state of mathematical problems on the free-boundary elasticity and plasticity theory. The book is intended for postgraduates, scientists and engineers.and for Students interested in problems of modelling and optimal control in the mechanics of deformable bodies.

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Page Count

388

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764352388

ISBN 13

9783764352387

Modeling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

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Modeling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In this monograph we focus on formal models representing contact problems for elastic and elastoplastic plates and shells. New approaches open up new fields for research. For example, in crack theory a systematic treatment of mathematical modelling and optimization of problems with cracks is required. Similarly, sensitivity analysis of solutions to problems subjected to perturbations, which forms an important part of the problem solving process, is the source of many open questions. Two aspects of sensitivity analysis, namely the behaviour of solutions under deformations of the domain of integration and perturbations of surfaces seem to be particularly demanding in this context. On writing this book we aimed at providing the reader with a self-contained study of the mathematical modelling in mechanics. Much attention is given to modelling of typical constructions applied in many different areas. Plates and shallow shells which are widely used in the aerospace industry provide good exam ples. Allied optimization problems consist in finding the constructions which are of maximal strength (endurance) and satisfy some other requirements, ego weight limitations. Mathematical modelling of plates and shells always requires a reasonable compromise between two principal needs. One of them is the accuracy of the de scription of a physical phenomenon (as required by the principles of mechanics).

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Page Count

380

Publisher

Birkhäuser

Published Date

ISBN 10

3034889844

ISBN 13

9783034889841

Modelling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

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Modelling and Control in Solid Mechanics

By: A.M. Khludnev,Jan Sokolowski

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

388

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764352388

ISBN 13

9783764352387

Book's by A.M. Khludnev

Modelling and Control in Solid Mechanics

Modelling and Control in Solid Mechanics

Modeling and Control in Solid Mechanics

Modeling and Control in Solid Mechanics

Modelling and Control in Solid Mechanics

Modelling and Control in Solid Mechanics

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