Cosserat Theories: Shells, Rods and Points

Cosserat Theories: Shells, Rods and Points

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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.
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Product details

  • Hardback | 488 pages
  • 164 x 242 x 32mm | 898.13g
  • Dordrecht, Netherlands
  • English
  • 2000 ed.
  • XVI, 488 p.
  • 0792364899
  • 9780792364894

Table of contents

Preface. 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. Appendix B: Summary of Tensor Operations in Specific Coordinate Systems. Exercises. Acknowledgments. References. Index.
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Review quote

`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)
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