Advances in Mechanics and Mathematics

Complementarity, Duality and Symmetry in Nonlinear Mechanics

Proceedings of the IUTAM Symposium

Editors: Yang Gao, David (Ed.)

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About this book

Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science.
The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age.
Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and post-doctoral level) at universities and in industry.

Table of contents (22 chapters)

  • Mechanics and Materials: Research and Challenges in the Twenty-First Century

    Chong, Ken P.

    Pages 1-11

  • Non-Convex Duality

    Ekeland, Ivar

    Pages 13-19

  • Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics

    Gao, David Y.

    Pages 21-65

  • Tri-Duality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects

    Gao, David Y. (et al.)

    Pages 67-84

  • Mathematical Modeling of Three-Dimensional Delamination Processes of Laminated Composites

    Gasser, Thomas C. (et al.)

    Pages 85-99

Buy this book

eBook $269.00
price for USA (gross)
  • ISBN 978-90-481-9577-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $389.00
price for USA
  • ISBN 978-1-4020-7887-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $349.00
price for USA
  • ISBN 978-94-015-7119-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Complementarity, Duality and Symmetry in Nonlinear Mechanics
Book Subtitle
Proceedings of the IUTAM Symposium
Editors
  • David Yang Gao
Series Title
Advances in Mechanics and Mathematics
Series Volume
6
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-90-481-9577-0
DOI
10.1007/978-90-481-9577-0
Hardcover ISBN
978-1-4020-7887-3
Softcover ISBN
978-94-015-7119-7
Series ISSN
1571-8689
Edition Number
1
Number of Pages
LVII, 389
Topics