Analytical Methods in Elasticity [Paperback]

Omri Rand (Author), Vladimir Rovenski (Author)

Book Description

Publication Date: October 28, 2004 | ISBN-10: 0817642722 | ISBN-13: 978-0817642723 | Edition: 1

* Comprehensive textbook/reference applies mathematical methods and modern symbolic computational tools to anisotropic elasticity * Presents unified approach to a vast diversity of structural models * State-of-the-art solutions are provided for a wide range of composite material configurations, including: 3-D anisotropic bodies, 2-D anisotropic plates, laminated and thin-walled structures

Editorial Reviews

Review

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)

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 * Includes a CD with the symbolic codes (MAPLE; Versions 8 and 9) for the solutions presented that may be activated to create numerous additional examples containing detailed expressions and graphics 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.

See all Editorial Reviews

Product Details

• Paperback: 400 pages
• Publisher: Birkhäuser Boston; 1 edition (October 28, 2004)
• Language: English
• ISBN-10: 0817642722
• ISBN-13: 978-0817642723
• Product Dimensions: 9.9 x 6.9 x 0.9 inches
• Shipping Weight: 1.9 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #1,867,493 in Books (See Top 100 in Books)

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