Analytical Methods in Elasticity - Softcover

Rand, Omri; Rovenski, Vladimir

Softcover

ISBN 10: 0817642722 ISBN 13: 9780817642723

Publisher: Birkhäuser, 2004

Synopsis

Prior to the computer era, analytical methods in elasticity had already been developed and - proved up to impressive levels. Relevant mathematical techniques were extensively exploited, contributing signi?cantly to the understanding of physical phenomena. In recent decades, - merical computerized techniques have been re?ned and modernized, and have reached high levels of capabilities, standardization and automation. This trend, accompanied by convenient and high resolution graphical visualization capability, has made analytical methods less attr- tive, and the amount of effort devoted to them has become substantially smaller. Yet, with some tenacity, the tremendous advances in computerized tools have yielded various mature programs for symbolic manipulation. Such tools have revived many abandoned analytical methodologies by easing the tedious effort that was previously required, and by providing additional capab- ities to perform complex derivation processes that were once considered impractical. Generally speaking, it is well recognized that analytical solutions should be applied to re- tively simple problems, while numerical techniques may handle more complex cases. However, it is also agreed that analytical solutions provide better insight and improved understanding of the involved physical phenomena, and enable a clear representation of the role taken by each of the problem parameters. Nowadays, analytical and numerical methods are considered as c- plementary: that is, while analytical methods provide the required understanding,numerical solutions provide accuracy and the capability to deal with cases where the geometry and other characteristics impose relatively complex solutions.

About this title

About the Author

Omri Rand is a Professor of Aerospace Engineering at the Technion – Israel Institute of Technology. He has been involved in research on theoretical modeling and analysis in the area of anisotropic elasticity for the last fifteen years, he is the author of many journal papers and conference presentations in this area. Dr. Rand has been extensively active in composite rotor blade analysis, and established many well recognized analytical and numerical approaches. He teaches graduate courses in the area of anisotropic elasticity, serves as the Editor-in-Chief of Science and Engineering of Composite Materials, as a reviewer for leading professional journals, and as a consultant to various research and development organizations.

Vladimir Rovenski is a Professor of Mathematics and a well known researcher in the area of Riemannian and computational geometry. He is a corresponding member of the Natural Science Academy of Russia, a member of the American Mathematical Society, and serves as a reviewer of Zentralblatt für Mathematik. He is the author of many journal papers and books, including Foliations on Riemannian Manifolds and Submanifolds (Birkhäuser, 1997), and Geometry of Curves and Surfaces with MAPLE (Birkhäuser, 2000). Since 1999, Dr. Rovenski is a senior scientist at the faculty of Aerospace Engineering at the Technion – Israel Institute of Technology, and a lecturer at Haifa University.

From the Back Cover

This comprehensive textbook/reference focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. Specific attention is devoted to the potential of modern symbolic computational tools to support highly complex analytical solutions and their contribution to the rigor, analytical uniformity and exactness of the derivation.
Key features:
* Refreshes and modernizes classical mathematical methods encountered in the theory of anisotropic elasticity
* Reviews basic and advanced steps of general analytical solutions, including the initial assumptions and selection of an adequate analytical course
* Demonstrates the potential of symbolic computational tools to support the development of analytical solutions and to verify their exactness
* Examines the physical interpretation of exact and approximate mathematical solutions and provides important insight into the involved phenomena
* Provides state-of-the-art solutions for a wide range of cases, including non-homogeneous and thin-walled configurations
Analytical Methods in Anisotropic Elasticity will appeal to a broad audience involved in mathematical modeling, all of whom must have good mathematical skills: graduate students and professors in courses on elasticity and solid-mechanics labs/seminars, applied mathematicians and numerical analysts, scientists and researchers. Engineers involved in aeronautical and space, maritime and mechanical design of composite material structures will find this an excellent hands-on reference text as well. All will benefit from the classical and advanced solutions that are derived and presented using symbolic computational techniques.

Edition details

• Publisher: Birkhäuser
• Publication date: 2004
• Language: English
• ISBN 10: 0817642722
• ISBN 13: 9780817642723
• Binding: Paperback
• Number of pages: 400