Modeling and Control in Solid Mechanics: 122 (International Series of Numerical Mathematics) - Hardcover

Khludnev, A.M.; Sokolowski, Jan

Hardcover

ISBN 10: 3764352388 ISBN 13: 9783764352387

Publisher: Birkhauser Verlag AG, 1997

Synopsis

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).

About this title

Synopsis

Analyzing boundary value problems arising from new models in mechanical engineering, this text describes contact problems for plates and shells and equilibrium of plates in various cracks as well as a number of other issues.

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 1997
• ISBN 10: 3764352388
• ISBN 13: 9783764352387
• Binding: Hardcover
• Language: English
• Number of pages: 370