Classical and Generalized Models of Elastic Rods

1. Auflage 2008
ISBN: 978-1-4200-8649-2
Verlag: Chapman and Hall/CRC

Buch, Englisch, 380 Seiten, Format (B × H): 156 mm x 235 mm, Gewicht: 657 g

Reihe: Modern Mechanics and Mathematics

Reflecting new developments in the study of Saint-Venant’s problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material.

The author presents a method to construct Saint-Venant’s solutions, minimum energy characterizations of these solutions, and a proof of Saint-Venant’s principle. He then discusses the deformation of nonhomogenous and isotropic cylinders as well as the problem of loaded anisotropic elastic cylinders. The book also deals with the deformation of cylinders within the linearized theory of homogeneous Cosserat elastic solids, the deformation of nonhomogeneous Cosserat cylinders, and the extension, bending, and torsion of porous elastic cylinders.

With numerous results not found in related texts, this book provides a unique, unified point of view in the theory of the deformation of elastic cylinders.

Zielgruppe

Professional

Autoren/Hrsg.

Iesan, D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Preface. Saint-Venant’s Problem. Theory of Loaded Cylinders. Deformation of Nonhomogeneous Cylinders. Anisotropic Bodies. Cosserat Elastic Continua. Nonhomogeneous Cosserat Cylinders. Porous Elastic Bodies. Answers to Selected Problems. Bibliography. Index.

Über Autor(innen)

D. Iesan