Complementarity, Duality and Symmetry in Nonlinear Mechanics

Contents List of Figures Preface References 1. Mechanics and Materials: Research and Challenges in the Twenty-First Century; Ken P. Chong 2. Non-Convex Duality; Ivar Ekeland 3. Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics; David Y. Gao 4. Tri-Duality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects; David Y. Gao, Jie-Fang Li, D. Viehland 5. Mathematical Modeling of the Three-Dimensional Delamination Processes of Laminated Composites; Thomas C. Gasser, Gerhard A. Holzapfel 6. Newton's and Poisson's Impact Law for the Non-Convex Case of Re-Entrant Corners; Christoph Glocker 7. Duality in Kinematic Approaches of Limit and Shakedown Analysis of Structures; Nguyen-Dang Hung, Aimin Yan, Vu Duc Khoi 8. Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading; Charles G. Lange, Frederic Y.M. Wan 9. Duality for Entropy Optimization and Its Applications; Xingsi Li, Shaohua Pan 10. Dual Variational Principles for the Free-Boundary Problem of Cavitated Bearing Lubrication; Gao-Lian Liu 11. Finite Dimensional Frictional Contact Quasi-Static Rate and Evolution Problems Revisited; J.A.C. Martins, A. Pinto da Costa 12. Minimax Theory, Duality and Applications; D. Motreanu 13. Min-Max Duality and Shakedown Theorems in Hardening Plasticity; Quoc Son Nguyen 14. A Fluid Problem with Navier-Slip Boundary Conditions; Adriana Valentina Busuioc, T. S. Ratiu 15. An Extension of Limit Analysis Theorems to Incompressible Material with a Non-Associated Flow Rule; J. Joachim Telega, Mohammed Hjiaj, Scott W. Sloan 16. Periodic Soliton Resonances; Masayoshi Tajiri 17. Generalized Legendre-Fenchel Transformation; Claude Vallee, Mohammed Hjiaj, Daniele Fortune Gery de Saxce 18. A Robust Variational Formulation for a Rod Subject to Inequality Constraints; G.H.M. van der Heijden 19. Computing FEM Solutions of Plasticity Problems via NonLinear Mixed Variational Inequalities; Paolo Venini, Roberto Nascimbene 20. Finite Element Dual Analysis in Piezoelectric Crack Estimation; Chang-Chun Wu, Zi-Ran Li, Lei Li, G. Yagawa 21. Duality and Complementarity in Constrained Mechanical Systems; Hiroaki Yoshimura 22. Mixed Energy Method for Solution of Quadratic Programming Problems; Zhong Wanxie Zhang Hongwu