M. B. Rubin

Cosserat Theories: Shells, Rods and Points (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 488
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9789401593793
• Artikelnr.: 43985608

Inhaltsangabe

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.

Rezensionen

`In conclusion, this is a well-written book that covers important aspects of an area of intensive study in current continuum and structural mechanics research. It is a good example of a modern theoretical treatment of the Cosserat theories of structural mechanics and differs from the few existing books in the field by its focus on the mechanical description of the systems of interest through a more simplified mathematical presentation. The researchers in the field will find an excellent collection of important material in the formulation of these nonlinear theories.'
AIAA Journal, 39:5 (2001)

`In conclusion, this is a well-written book that covers important aspects of an area of intensive study in current continuum and structural mechanics research. It is a good example of a modern theoretical treatment of the Cosserat theories of structural mechanics and differs from the few existing books in the field by its focus on the mechanical description of the systems of interest through a more simplified mathematical presentation. The researchers in the field will find an excellent collection of important material in the formulation of these nonlinear theories.' AIAA Journal, 39:5 (2001)