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Complementarity, Duality and Symmetry in Nonlinear Mechanics

Proceedings of the IUTAM Symposium, Advances in Mechanics and Mathematics 6

Yang Gao, David /
Erschienen am 01.09.2012
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Bibliografische Daten
ISBN/EAN: 9789401571197
Sprache: Englisch
Auflage: 1. Auflage

Beschreibung

InhaltsangabeContents List of Figures Preface References 1. Mechanics and Materials: Research and Challenges in the Twenty-First Century; Ken P. Chong 2. NonConvex Duality; Ivar Ekeland 3. Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics; David Y. Gao 4. TriDuality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects; David Y. Gao, JieFang 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. MinMax 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 Vallée, Mohammed Hjiaj, Danièle Fortune Géry de Saxcé 18. A Robust Variational Formulation for a Rod Subject to Inequality Constraints; G.H.M. van der Heijden 19. Computing FEM Solutions of PlasticityProblems 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

Autorenportrait

InhaltsangabeContents List of Figures Preface References 1. Mechanics and Materials: Research and Challenges in the Twenty-First Century; Ken P. Chong 2. NonConvex Duality; Ivar Ekeland 3. Duality, Complementarity, and Polarity in Nonsmooth/Nonconvex Dynamics; David Y. Gao 4. TriDuality Theory in Phase Transformations of Ferroelectric Crystals with Random Defects; David Y. Gao, JieFang 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. MinMax 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 Vallée, Mohammed Hjiaj, Danièle Fortune Géry de Saxcé 18. A Robust Variational Formulation for a Rod Subject to Inequality Constraints; G.H.M. van der Heijden 19. Computing FEM Solutions of PlasticityProblems 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

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