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Complementarity, Duality and Symmetry in Nonlinear Mechanics

Proceedings of the IUTAM Symposium

  • Conference proceedings
  • © 2004

Overview

Authors:
  1. David Y. Gao

    1. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, USA

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Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 6)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-lvii
    Download chapter PDF

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

    • Ken P. Chong
    Pages 1-11

  3. Non-Convex Duality

    • Ivar Ekeland
    Pages 13-19

  4. Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics

    • David Y. Gao
    Pages 21-65

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

    • David Y. Gao, Jie-Fang Li, D. Viehland
    Pages 67-84

  6. Mathematical Modeling of Three-Dimensional Delamination Processes of Laminated Composites

    • Thomas C. Gasser, Gerhard A. Holzapfel
    Pages 85-99

  7. Newton’s and Poisson’s Impact Law for the Non-Convex Case of Reentrant Corners

    • Christoph Glocker
    Pages 101-125

  8. Duality in Kinematic Approaches of Limit and Shakedown Analysis of Structures

    • Nguyen-Dang Hung, Aimin Yan, Vu Duc Khoi
    Pages 127-148

  9. Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading

    • Charles G. Lange, Frederic Y. M. Wan
    Pages 149-165

  10. Duality for Entropy Optimization and its Applications

    • Xingsi Li, Shaohua Pan
    Pages 167-178

  11. Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing Lubrication

    • Gao-Lian Liu
    Pages 179-189

  12. Finite Dimensional Frictional Contact Quasi-Static Rate and Evolution Problems Revisited

    • J. A. C. Martins, A. Pinto da Costa
    Pages 191-208

  13. Minimax Theory, Duality and Applications

    • D. Motreanu
    Pages 209-223

  14. Min-Max Duality and Shakedown Theorems in Hardening Plasticity

    • Quoc Son Nguyen
    Pages 225-240

  15. A Fluid Problem with Navier-Slip Boundary Conditions

    • Adriana Valentina Busuioc, T. S. Ratiu
    Pages 241-254

  16. An Extension of Limit Analysis Theorems to Incompressible Material with a Non-Associated Flow Rule

    • J. Joachim Telega, Mohammed Hjiaj, Scott W. Sloan
    Pages 255-275

  17. Periodic Soliton Resonances

    • Masayoshi Tajiri
    Pages 277-287

  18. Generalized Legendre-Fenchel Transformation

    • Claude Vallée, Mohammed Hjiaj, Danièle Fortuné, Géry de Saxcé
    Pages 289-311

  19. A Robust Variational Formulation for a Rod Subject to Inequality Constraints

    • G. H. M. van der Heijden
    Pages 313-325

  20. Computing FEM Solutions of Plasticity Problems via Nonlinear Mixed Variational Inequalities

    • Paolo Venini, Roberto Nascimbene
    Pages 327-338
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Keywords

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.

Authors and Affiliations

  • Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, USA

    David Y. Gao

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