Cover image for Complementarity, duality, and symmetry in nonlinear mechanics : proceedings of the IUTAM Symposium
Title:
Complementarity, duality, and symmetry in nonlinear mechanics : proceedings of the IUTAM Symposium
Series:
Advances in mechanics and mathematics ; 6
Publication Information:
Boston, Mass. : Kluwer, 2004
ISBN:
9781402078873
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30000010064357 TA349 C654 2004 Open Access Book Book
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Summary

Summary

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

List of Figures
Preface
References
1 Mechanics and Materials: Research and Challenges in the Twenty-First CenturyKen P. Chong
2 Non-Convex DualityIvar Ekeland
3 Duality, Complementarity, and Polarity in Nonsmooth Nonconvex DynamicsDavid Y. Gao
4 Tri-Duality Theory in Phase Transformations of Ferroelectric Crystals with Random DefectsDavid Y. Gao and Jie-Fang Li and D. Viehland
5 Mathematical Modeling of the Three-Dimensional Delamination Processes of Laminated CompositesThomas C. Gasser and Gerhard A. Holzapfel
6 Newton's and Poisson's Impact Law for the Non-Convex Case of Re-Entrant CornersChristoph Glocker
7 Duality in Kinematic Approaches of Limit and Shakedown Analysis of StructuresNguyen-Dang Hung and Aimin Yan and Vu Duc Khoi
8 Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform LoadingCharles G. Lange and Frederic Y.M. Wan
9 Duality for Entropy Optimization and Its ApplicationsXingsi Li and Shaohua Pan
10 Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing LubricationGao-Lian Liu
11 Finite Dimensional Frictional Contact Quasi-Static Rate and Evolution Problems RevisitedJ.A.C. Martins and A. Pinto da Costa
12 Minimax Theory, Duality and ApplicationsD. Motreanu
13 Min-Max Duality and Shakedown Theorems in Hardening PlasticityQuoc Son Nguyen
14 A Fluid Problem with Navier-Slip Boundary ConditionsAdriana Valentina Busuioc and T. S. Ratiu
15 An Extension of Limit Analysis Theorems to Incompressible Material with a Non-Associated Flow RuleJ. Joachim Telega and Mohammed Hjiaj and Scott W. Sloan
16 Periodic Soliton ResonancesMasayoshi Tajiri
17 Generalized Legendre-Fenchel TransformationClaude Vallèe and Mohammed Hjiaj and Daniéle Fortune Gèry de Saxcè
18 A Robust Variational Formulation for a Rod Subject to Inequality ConstraintsG.H.M. van der Heijden
19 Computing FEM Solutions of Plasticity Problems via NonLinear Mixed Variational InequalitiesPaolo Venini and Roberto Nascimbene
20 Finite Element Dual Analysis in Piezoelectric Crack EstimationChang-Chun Wu and Zi-Ran Li and Lei Li and G. Yagawa
21 Duality and Complementarity in Constrained Mechanical SystemsHiroaki Yoshimura
22 Mixed Energy Method for Solution of Quadratic Programming ProblemsZhong Wanxie Zhang Hongwu