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Cosserat Theories: Shells, Rods and Points

  • Fester Einband
  • 508 Seiten
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This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dime... Weiterlesen
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Beschreibung

This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. Moreover, it is shown that a Cosserat point can be used like a finite element for the numerical solution of problems in continuum mechanics. One objective of this book is to allow readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories. Therefore, the mathematical presentation has been simplified and a number of example problems have been solved. Also, complete specific constitutive equations for nonlinear orthotropic elastic structures have been presented in terms of easily identifiable material constants. This book can be used as a graduate text in continuum mechanics or as an invaluable reference for researchers in nonlinear structural mechanics.

Inhalt

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.

Produktinformationen

Titel: Cosserat Theories: Shells, Rods and Points
Autor:
EAN: 9780792364894
ISBN: 0792364899
Format: Fester Einband
Herausgeber: Springer Netherlands
Genre: Maschinenbau
Anzahl Seiten: 508
Gewicht: 922g
Größe: H241mm x B160mm x T32mm
Jahr: 2000
Auflage: 2000

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