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. It will appeal to a broad audience possessing good mathematical skills and involved in mathematical modeling, including: graduate students and professors, applied mathematicians, numerical analysts, scientists, engineers, and researchers.

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

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.

Inhalt
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.