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Modeling and Control in Solid Mechanics 1997 Edition
Contributor(s): Khludnev, A. M. (Author), Sokolowski, Jan (Author)

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 ISBN: 303489855X     ISBN-13: 9783034898553
Publisher: Birkhauser
OUR PRICE: $52.24  

Binding Type: Paperback - See All Available Formats & Editions
Published: September 2011
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Additional Information
BISAC Categories:
- Technology & Engineering | Civil - General
- Mathematics | Mathematical Analysis
- Computers | Computer Science
Dewey: 624.177
Series: International Numerical Mathematics
Physical Information: 0.8" H x 6.69" W x 9.61" L (1.36 lbs) 370 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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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