Cosserat Theories: Shells, Rods and Points by M.B. Rubin.

Continuum Continuum mechanics mechanics provides provides a a theoretical theoretical structure structure for for analyzing analyzing the the response response of of materials materials to to mechanical mechanical and and thermal thermal loads. loads. One One of of the the beauties beauties of of co...

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Bibliographic Details
Main Author: Rubin, M.B (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Solid Mechanics and Its Applications, 79
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.