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.

Autorentext

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.

Klappentext

• 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

  Inhalt

  • Preface List of Figures List of Tables 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 Programs Description References * Index