Cosserat Theories: Shells, Rods and Points

1. Auflage. Softcover version of original hardcover Auflage 2000
ISBN: 978-90-481-5531-6
Verlag: Springer

Buch, Englisch, 488 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 762 g

Reihe: Solid Mechanics and Its Applications

This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.

Zielgruppe

Research

Autoren/Hrsg.

Rubin, M. B.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik

Inhaltsverzeichnis

1 Introduction.- 2 Basic Tensor Operations in Curvilinear Coordinates.- 3 Three-Dimensional Continua.- 4 Cosserat Shells.- 5 Cosserat Rods.- 6 Cosserat Points.- 7 Numerical Solutions using Cosserat Theories.- Appendix A Tensors, Tensor Products and Tensor Operations in Three Dimensions.- A.1 Vectors and vector operations.- A.2 Tensors as linear operators.- A.3 Tensor products (special case).- A.4 Indicial notation.- A.5 Tensor products (general case).- A.6 Tensor transformation relations.- A.7 Additional definitions and results.- Appendix B Summary of Tensor Operations in Specific Coordinate Systems.- B.1 Cylindrical polar coordinates.- B 2 Spherical polar coordinates.- Exercises.- Acknowledgments.- References.