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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik
    4. Tillämpad matematik

    Analytical Methods in Anisotropic Elasticity

    with Symbolic Computational Tools

    AvOmri Rand,Vladimir Rovenski

    Häftad, Engelska, 2004

    544 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Beskrivning

    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.

    Produktinformation

    • Utgivningsdatum:2004-10-28
    • Mått:178 x 254 x 24 mm
    • Vikt:840 g
    • Format:Häftad
    • Språk:Engelska
    • Antal sidor:451
    • Upplaga:2005
    • Förlag:Birkhauser Boston Inc
    • ISBN:9780817642723

    Utforska kategorier

    • Tillämpad matematik inom Naturvetenskap och teknik
    • Maskinteknik och material inom Naturvetenskap och teknik

    Mer om författaren

    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 fur Mathematik. He is the author of many journal papers and books, including Foliations on Riemannian Manifolds and Submanifolds (Birkhauser, 1997), and Geometry of Curves and Surfaces with MAPLE (Birkhauser, 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.

    Recensioner i media

    From the reviews: "The book emphasizes the applications of analytical methods in the solutions of boundary value problems (BVPs) in anisotropic elasticity, but the focus is on the procedure of obtaining analytical solutions. It starts with a condensed, mathematically flavored summary of basics of anisotropic elasticity in the first 4 chapters. The primary methods, the global polynomial analysis and the method of complex potentials are then introduced. The methods are applied to various two dimensional and three dimensional BVPs, with a focus on beams with different levels of anisotropy. A feature of this book is that the solution for each type of problems is preceded with a complete mathematical formulation of the BVP. It also contains many solved problems and an extensive list of references. It should be noted that the authors do not discuss how to use symbolic computational tools. The book can be used as a reference for those who are familiar with the theory of elasticity and are interested in analytical solutions of BVPs in anisotropic elasticity."--MATHEMATICAL REVIEWS "The book is intended to be a self-contained reference for the topic and aimed at practicing engineers who put the analytical approaches for anisotropic elasticity problems to practical use. Graduate, postgraduate and doctoral students of mechanical engineering could benefit from using the book as well. This well-written book is a reader-friendly and well organized handbook in the field of anisotropic elasticity. It can be highly recommended for experts in Mechanics of Solids, engineers, and for graduate, postgraduate and doctoral students."(ZENTRALBLATT MATH)

    Innehållsförteckning

    • Fundamentals of Anisotropic Elasticity and Analytical Methodologies.- Anisotropic Materials.- Plane Deformation Analysis.- Solution Methodologies.- Foundations of Anisotropic Beam Analysis.- Beams of General Anisotropy.- Homogeneous, Uncoupled Monoclinic Beams.- Non-Homogeneous Plane and Beam Analysis.- Solid Coupled Monoclinic Beams.- Thin-Walled Coupled Monoclinic Beams.- Program Descriptions.
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