Advances in Mechanics and Mathematics

Mechanics of Generalized Continua

One Hundred Years After the Cosserats

Editors: Maugin, Gérard A., Metrikine, Andrei V. (Eds.)

  • Showcases several areas of continuum mechanics that are outgrowths of the work of the Cosserat brothers
  • Focuses on recent developments in continuum mechanics and materials design, presenting several applications of these theories
  • Provides an overview of research from many different areas of continuum mechanics
  • Can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics
see more benefits

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-1-4419-5695-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-1-4419-5694-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4614-2574-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers.

The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodies with fractal structure, as well as other related topics. 

Key features:

- Focuses on recent developments in continuum mechanics and materials design, including numerical examples and newly developed models.

- Presents numerical examples to demonstrate the efficiency of various solution techniques.

- Provides a unique overview of generalized continuum mechanics, illustrating the important applications of this theory in various other scientific disciplines.

- Includes a foreword written by renowned physicist and materials scientist A.C. Eringen.

Mechanics of Generalized Continua can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Table of contents (34 chapters)

  • Generalized Continuum Mechanics: What Do We Mean by That?

    Maugin, Gérard A.

    Pages 3-13

  • On Semi-Holonomic Cosserat Media

    Epstein, Marcelo

    Pages 15-24

  • On the Theories of Plates Based on the Cosserat Approach

    Altenbach, Holm (et al.)

    Pages 27-35

  • Cracks in Cosserat Continuum—Macroscopic Modeling

    Dyskin, Arcady V. (et al.)

    Pages 37-45

  • Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Media

    Lhuillier, Daniel

    Pages 47-54

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-1-4419-5695-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-1-4419-5694-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4614-2574-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Mechanics of Generalized Continua
Book Subtitle
One Hundred Years After the Cosserats
Editors
  • Gérard A. Maugin
  • Andrei V. Metrikine
Series Title
Advances in Mechanics and Mathematics
Series Volume
21
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-5695-8
DOI
10.1007/978-1-4419-5695-8
Hardcover ISBN
978-1-4419-5694-1
Softcover ISBN
978-1-4614-2574-8
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XIX, 337
Number of Illustrations and Tables
57 b/w illustrations, 11 illustrations in colour
Topics