Analytical methods in anisotropic elasticity: with symbolic computational tools

Omri Rand, Vladimir Rovenski0817642722, 9780817642723

This work focuses on mathematical methods and modern symbolic computational tools required to solve fundamental and advanced problems in anisotropic elasticity. Specific applications are presented to the class of problems that are encountered in the theory.

Key features: particular emphasis is placed on the selection of analytic methodology for a specific problem and the potential of symbolic computational techniques to support and develop the analytic approach to problem-solving · the physical interpretation of exact and approximate mathematical solutions is thoroughly examined and provides new insights into the involved phenomena · state-of-the-art solutions are provided for a wide range of composite material configurations developed by the authors, including nonlinear problems and advanced analysis of laminated and thin-walled structures · ample graphic examples, including animations, further facilitate an understanding of the main steps in the solution process.

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Table of contents :
Analytical Methods in
Anisotropic Elasticity
……Page 4
Contents
……Page 11
1.
Fundamentals of Anisotropic Elasticity and Analytical Methodologies……Page 19
2
. Anisotropic Materials……Page 71
3.
Plane Deformation Analysis……Page 97
4.
Solution Methodologies……Page 143
5.
Foundations of Anisotropic Beam Analysis……Page 201
6.
Beams of General Anisotropy……Page 233
7. Homogeneous, Uncoupled Monoclinic
Beams……Page 267
8.
Non-Homogeneous Plane and Beam
Analysis……Page 314
9.
Solid Coupled Monoclinic Beams……Page 352
10.
Thin-Walled Coupled Monoclinic Beams……Page 386
11.
Program Descriptions……Page 417
References
……Page 444